CAHIER D’ACTIVITÉS
Cahier d’activités Actimath à l’infini - 2 e édition
Ph. Ancia M. Bams M. Colin P. Dewaele F. Huin J.-L. Lozet A. Want
1
1 2 e édition
ISBN 978-90-306-9297-3 590881
9 789030 692973
vanin.be
1 Philippe Ancia Maryse Bams Marlène Colin Pascal Dewaele Fabrice Huin Jean-Luc Lozet Aline Want
CAHIER D'ACTIVITÉS 2 e édition
Udiddit͕ ůĂ ƉůĂƚĞͲĨŽƌŵĞ Ě͛ĂƉƉƌĞŶƟƐƐĂŐĞ ĞŶ ůŝŐŶĞ ƉŽƵƌ ůĞƐ ĠůğǀĞƐ Ğƚ ůĞƐ ĞŶƐĞŝŐŶĂŶƚƐ >Ă ƉůĂƚĞͲĨŽƌŵĞ Udiddit ƚĞ ĚŽŶŶĞ͕ ƉĂƌ ĞdžĞŵƉůĞΎ͕ ĂĐĐğƐ ă ͗ Ͳ ĚĞƐ ĞdžĞƌĐŝĐĞƐ ĞŶ ůŝŐŶĞ ƉŽƵƌ ƚ͛ĞŶƚƌĂŠŶĞƌ͕ Ͳ ƵŶ ĂƉĞƌĕƵ ĚĞ ƚĞƐ ƉƌŽŐƌğƐ Ğƚ ĚĞ ƚĞƐ ƌĠƐƵůƚĂƚƐ͕ Ͳ ĚƵ ŵĂƚĠƌŝĞů ĚĞ ĐŽƵƌƐ͕ Ͳ ĚĞƐ ũĞƵdž ĐĂƉƟǀĂŶƚƐ͕ Ͳ Ğƚ ďŝĞŶ ƉůƵƐ ĞŶĐŽƌĞ͘͘͘ Ύ Ŷ ĨŽŶĐƟŽŶ ĚĞ ůĂ ŵĠƚŚŽĚĞ
ƌĠĞͲƚŽŝ ƵŶ ĐŽŵƉƚĞ ƐƵƌ ǁǁǁ͘ƵĚŝĚĚŝƚ͘ďĞ Ğƚ ĂĐͲ ĐğĚĞ ă ƚŽŶ ĐŽŶƚĞŶƵ ă ů͛ĂŝĚĞ ĚƵ ĐŽĚĞ Ě͛ĂĐƟǀĂƟŽŶ ĐŝͲĚĞƐƐŽƵƐ ͗
ĞƩĞ ůŝĐĞŶĐĞ ĞƐƚ ǀĂůĂďůĞ ƉĞŶĚĂŶƚ ϭ ĂŶ ă ƉĂƌƟƌ ĚĞ ůĂ ĚĂƚĞ Ě͛ĂĐƟǀĂƟŽŶ͘
ŽŵƉŽƐŝƟŽŶ Ě͛ ĐƟŵĂƚŚ ă ů͛ŝŶĮŶŝ ϭ WŽƵƌ ů͛ĠůğǀĞ
ĂŚŝĞƌ ĚΖĂĐƟǀŝƚĠƐ ;н ĂĐĐğƐ hĚŝĚĚŝƚ ĂƵdž ĞdžĞƌĐŝĐĞƐ ŶƵŵĠƌŝƋƵĞƐͿ ZĠĨĠƌĞŶƟĞů ĚĞ ƚŚĠŽƌŝĞ ƉŽƵƌ ůĂ ϭre ĂŶŶĠĞ
WŽƵƌ ůĞ ƉƌŽĨĞƐƐĞƵƌ 'ƵŝĚĞ ŵĠƚŚŽĚŽůŽŐŝƋƵĞ ;н ĂĐĐğƐ hĚŝĚĚŝƚ ĂƵ ŵĂƚĠƌŝĞů ĚĞ ĐŽƵƌƐͿ >ŝǀƌĞ ŶƵŵĠƌŝƋƵĞ ĐƟŵĂƚŚ ă ů͛ŝŶĮŶŝ ϭ ʹ ĂŚŝĞƌ ĚΖĂĐƟǀŝƚĠƐ ƵƚĞƵƌƐ ͗
DĂƌLJƐĞ ĂŵƐ͕ DĂƌůğŶĞ ŽůŝŶ͕ WĂƐĐĂů ĞǁĂĞůĞ͕ &ĂďƌŝĐĞ ,ƵŝŶ͕ :ĞĂŶͲ>ƵĐ >ŽnjĞƚ Ğƚ ůŝŶĞ tĂŶƚ ƐŽƵƐ ůĂ ĚŝƌĞĐƟŽŶ ĚĞ Ğƚ ĂǀĞĐ WŚŝůŝƉƉĞ ŶĐŝĂ
ŽƵǀĞƌƚƵƌĞ ͗ DŝƐĞ ĞŶ ƉĂŐĞ ͗
ĂĐŐ ƚĞůŝĞƌ ƌĠĂƟŽŶ 'ƌĂƉŚŝƋƵĞ ůŝŶĞĂ 'ƌĂƉŚŝĐƐ
>ĞƐ ƉŚŽƚŽĐŽƉŝĞƵƐĞƐ ƐŽŶƚ Ě͛ƵŶ ƵƐĂŐĞ ƚƌğƐ ƌĠƉĂŶĚƵ Ğƚ ďĞĂƵĐŽƵƉ LJ ƌĞĐŽƵƌĞŶƚ ĚĞ ĨĂĕŽŶ ĐŽŶƐƚĂŶƚĞ Ğƚ ŵĂĐŚŝŶĂůĞ͘ DĂŝƐ ůĂ ƉƌŽĚƵĐƟŽŶ ĚĞ ůŝǀƌĞƐ ŶĞ ƐĞ ƌĠĂůŝƐĞ ƉĂƐ ĂƵƐƐŝ ĨĂĐŝůĞŵĞŶƚ ƋƵ͛ƵŶĞ ƐŝŵƉůĞ ƉŚŽƚŽĐŽƉŝĞ͘ ůůĞ ĚĞŵĂŶĚĞ ďŝĞŶ ƉůƵƐ Ě͛ĠŶĞƌŐŝĞ͕ ĚĞ ƚĞŵƉƐ Ğƚ Ě͛ĂƌŐĞŶƚ͘ >Ă ƌĠŵƵŶĠƌĂƟŽŶ ĚĞƐ ĂƵƚĞƵƌƐ͕ Ğƚ ĚĞ ƚŽƵƚĞƐ ůĞƐ ƉĞƌƐŽŶŶĞƐ ŝŵƉůŝƋƵĠĞƐ ĚĂŶƐ ůĞ ƉƌŽĐĞƐƐƵƐ ĚĞ ĐƌĠĂƟŽŶ Ğƚ ĚĞ ĚŝƐƚƌŝďƵƟŽŶ ĚĞƐ ůŝǀƌĞƐ͕ ƉƌŽǀŝĞŶƚ ĞdžĐůƵƐŝǀĞŵĞŶƚ ĚĞ ůĂ ǀĞŶƚĞ ĚĞ ĐĞƐ ŽƵǀƌĂŐĞƐ͘ Ŷ ĞůŐŝƋƵĞ͕ ůĂ ůŽŝ ƐƵƌ ůĞ ĚƌŽŝƚ Ě͛ĂƵƚĞƵƌ ƉƌŽƚğŐĞ ů͛ĂĐƟǀŝƚĠ ĚĞ ĐĞƐ ĚŝīĠƌĞŶƚĞƐ ƉĞƌƐŽŶŶĞƐ͘ >ŽƌƐƋƵ͛ŝů ĐŽƉŝĞ ĚĞƐ ůŝǀƌĞƐ͕ ĞŶ ĞŶƟĞƌ ŽƵ ĞŶ ƉĂƌƟĞ͕ ĞŶ ĚĞŚŽƌƐ ĚĞƐ ĞdžĐĞƉƟŽŶƐ ĚĠĮŶŝĞƐ ƉĂƌ ůĂ ůŽŝ͕ ů͛ƵƐĂŐĞƌ ƉƌŝǀĞ ĐĞƐ ĚŝīĠƌĞŶƚĞƐ ƉĞƌƐŽŶŶĞƐ Ě͛ƵŶĞ ƉĂƌƚ ĚĞ ůĂ ƌĠŵƵŶĠƌĂƟŽŶ ƋƵŝ ůĞƵƌ ĞƐƚ ĚƵĞ͘ ͛ĞƐƚ ƉŽƵƌƋƵŽŝ ůĞƐ ĂƵƚĞƵƌƐ Ğƚ ůĞƐ ĠĚŝƚĞƵƌƐ ĚĞŵĂŶĚĞŶƚ ƋƵ͛ĂƵĐƵŶ ƚĞdžƚĞ ƉƌŽƚĠŐĠ ŶĞ ƐŽŝƚ ĐŽƉŝĠ ƐĂŶƐ ƵŶĞ ĂƵƚŽƌŝƐĂƟŽŶ ĠĐƌŝƚĞ ƉƌĠĂůĂďůĞ͕ ĞŶ ĚĞŚŽƌƐ ĚĞƐ ĞdžĐĞƉƟŽŶƐ ĚĠĮŶŝĞƐ ƉĂƌ ůĂ ůŽŝ͘ >͛ĠĚŝƚĞƵƌ Ɛ͛ĞƐƚ ĞīŽƌĐĠ Ě͛ŝĚĞŶƟĮĞƌ ƚŽƵƐ ůĞƐ ĚĠƚĞŶƚĞƵƌƐ ĚĞ ĚƌŽŝƚƐ͘ ^ŝ͕ ŵĂůŐƌĠ ĐĞůĂ͕ ƋƵĞůƋƵ͛ƵŶ ĞƐƟŵĞ ĞŶƚƌĞƌ ĞŶ ůŝŐŶĞ ĚĞ ĐŽŵƉƚĞ ĞŶ ƚĂŶƚ ƋƵ͛ĂLJĂŶƚ ĚƌŽŝƚ͕ ŝů ĞƐƚ ŝŶǀŝƚĠ ă Ɛ͛ĂĚƌĞƐƐĞƌ ă ů͛ĠĚŝƚĞƵƌ͘
Ξ ĚŝƟŽŶƐ s E /E͕ DŽŶƚͲ^ĂŝŶƚͲ'ƵŝďĞƌƚ ʹ tŽŵŵĞůŐĞŵ͕ ϮϬϭϵ dŽƵƐ ĚƌŽŝƚƐ ƌĠƐĞƌǀĠƐ͘ Ŷ ĚĞŚŽƌƐ ĚĞƐ ĞdžĐĞƉƟŽŶƐ ĚĠĮŶŝĞƐ ƉĂƌ ůĂ ůŽŝ͕ ĐĞƚ ŽƵǀƌĂŐĞ ŶĞ ƉĞƵƚ ġƚƌĞ ƌĞƉƌŽĚƵŝƚ͕ ĞŶƌĞŐŝƐƚƌĠ ĚĂŶƐ ƵŶ ĮĐŚŝĞƌ ŝŶĨŽƌŵĂƟƐĠ ŽƵ ƌĞŶĚƵ ƉƵďůŝĐ͕ ŵġŵĞ ƉĂƌƟĞůůĞŵĞŶƚ͕ ƉĂƌ ƋƵĞůƋƵĞ ŵŽLJĞŶ ƋƵĞ ĐĞ ƐŽŝƚ͕ ƐĂŶƐ ů͛ĂƵƚŽƌŝƐĂƟŽŶ ĠĐƌŝƚĞ ĚĞ ů͛ĠĚŝƚĞƵƌ͘
Ϯe ĠĚŝƟŽŶ ͗ ϮϬϭϵ /^ E ϵϳϴͲϵϬͲϯϬϲͲϵϮϵϳͲϯ ͬϮϬϭϵͬϬϬϳϴͬϵϱ ƌƚ͘ ϱϵϬϴϴϭͬϬϭ പ
Introduction dƵ ǀŝĞŶƐ ĚĞ ƚĞƌŵŝŶĞƌ ů͛ ĐŽůĞ WƌŝŵĂŝƌĞ ƋƵŝ ƚ͛Ă ĨŽƵƌŶŝ ůĞƐ ďĂƐĞƐ ŶĠĐĞƐƐĂŝƌĞƐ ă ƵŶĞ ƌĠƵƐƐŝƚĞ ĞŶ ŵĂƚŚĠŵĂƟ ƋƵĞƐ ͗ ĐĂůĐƵů ŵĞŶƚĂů͕ ĐĂůĐƵů ĠĐƌŝƚ͕ ƉƌŽďůğŵĞƐ͕ ƐLJƐƚğŵĞ ŵĠƚƌŝƋƵĞ͕ ĨŽƌŵĞƐ ŐĠŽŵĠƚƌŝƋƵĞƐ͘ ƵũŽƵƌĚ͛ŚƵŝ͕ ƚƵ ĞŶƚƌĞƐ ĞŶ ƉƌĞŵŝğƌĞ ĂŶŶĠĞ ĚƵ ^ĞĐŽŶĚĂŝƌĞ ĚŽŶƚ ů͛ŽďũĞĐƟ Ĩ ƉƌŝŶĐŝƉĂů ĞƐƚ ĚĞ ĐŽŶƐŽůŝĚĞƌ ůĞ ƐĂǀŽŝƌ ĂĐƋƵŝƐ ĂŶƚĠƌŝĞƵƌĞŵĞŶƚ͕ ĞŶ ƉĂƌƟ ĐƵůŝĞƌ ĞŶ ĐĂůĐƵů Ğƚ ĞŶ ŐĠŽŵĠƚƌŝĞ͘ >ΖĂƉƉƌĞŶƟ ƐƐĂŐĞ ĚĞƐ ŵĂƚŚĠŵĂƟ ƋƵĞƐ ĚĂŶƐ ůΖĞŶƐĞŝŐŶĞŵĞŶƚ ƐĞĐŽŶĚĂŝƌĞ ǀĂ ĚĠǀĞůŽƉƉĞƌ ƚĞƐ ĐŽŵƉĠƚĞŶĐĞƐ ŵĂƚŚĠŵĂƟ ƋƵĞƐ͕ ƚĞ ĨĂŝƌĞ ĂĐƋƵĠƌŝƌ ƵŶ ĞƐƉƌŝƚ Ě͛ĂŶĂůLJƐĞ͕ ůŽŐŝƋƵĞ Ğƚ ĐƌĠĂƟ Ĩ͘ dƵ ǀĂƐ ĂƉƉƌĞŶĚƌĞ ă ĚĠĐƌŝƌĞ͕ ŝŶƚĞƌƉƌĠƚĞƌ͕ ũƵŐĞƌ Ğƚ ĂƉƉůŝƋƵĞƌ ƚĞƐ ĐŽŶŶĂŝƐƐĂŶĐĞƐ͘ Į Ŷ ƋƵĞ ƚƵ ƉƵŝƐƐĞƐ ĂƩ ĞŝŶĚƌĞ ƚŽƵƐ ĐĞƐ ŽďũĞĐƟ ĨƐ͕ ŶŽƵƐ ĂǀŽŶƐ ĐŽŶĕƵ ƵŶ ŵĂŶƵĞů Žƶ ƐĞ ĐƀƚŽŝĞŶƚ ĂĐƟ ǀŝƚĠƐ ĚĞ ĚĠĐŽƵǀĞƌƚĞ͕ ĞdžĞƌĐŝĐĞƐ Ě͛ĂƉƉůŝĐĂƟ ŽŶ͕ ƉƌŽďůğŵĞƐ ŵĂƚŚĠŵĂƟ ƋƵĞƐ Ğƚ ƉƌŽďůğŵĞƐ ĚĞ ůĂ ǀŝĞ ĐŽƵƌĂŶƚĞ͘ WŽƵƌ ƚΖĂŝĚĞƌ ă ĞdžƉůŽƌĞƌ Ğƚ ă ĐŽŵƉƌĞŶĚƌĞ ĐĞƐ ƐŝƚƵĂƟ ŽŶƐ ŶŽƵǀĞůůĞƐ͕ ŶŽƵƐ ĂǀŽŶƐ ƐƚƌƵĐƚƵƌĠ ĐŚĂƋƵĞ ĐŚĂƉŝƚƌĞ ĞŶ ĂĐƟ ǀŝƚĠƐ͘ ĞůůĞƐͲĐŝ ĚŽŝǀĞŶƚ ƚĞ ƉĞƌŵĞƩ ƌĞ ĚĞ ĨĂŝƌĞ ůĞ ƉŽŝŶƚ ƐƵƌ ĐĞ ƋƵĞ ƚƵ ƐĂŝƐ͕ ĚĞ ƌĠƐŽƵĚƌĞ ĚĞƐ ƉĞƟ ƚƐ ƉƌŽďůğŵĞƐ ĂǀĞĐ ůĞƐ ŵŽLJĞŶƐ ĚŽŶƚ ƚƵ ĚŝƐƉŽƐĞƐ͕ ĚĞ ĐŽŶĨƌŽŶƚĞƌ ƚĂ ƌĞĐŚĞƌĐŚĞ ĂǀĞĐ ĐĞůůĞ Ě͛ĂƵƚƌĞƐ ĠůğǀĞƐ Ğƚ ĚĞ ƚŽŶ ƉƌŽĨĞƐƐĞƵƌ͕ ĚΖĞdžƉůŝƋƵĞƌ ƚĂ ĚĠŵĂƌĐŚĞ͕ ĚĞ ǀĠƌŝĮ Ğƌ ƚĞƐ ƌĠƐƵůƚĂƚƐ͕ ĞŶ ƵŶ ŵŽƚ ĚĞ ĚĠĐŽƵǀƌŝƌ ůĞƐ ŵĂƚŚĠŵĂƟ ƋƵĞƐ͘ dŽŶ ƉƌŽĨĞƐƐĞƵƌ ƵƟ ůŝƐĞƌĂ ƉĞƵƚͲġƚƌĞ ĞŶ ĐůĂƐƐĞ ůĞ ŵĂŶƵĞů ŶƵŵĠƌŝƋƵĞ ĚĞ ƚŽŶ ĐƟ ŵĂƚŚ ă ů͛/ŶĮ Ŷŝ͘ dŽƵƐ ůĞƐ ĞdžĞƌĐŝĐĞƐ ĂŶŝŵĠƐ ƋƵĞ ƚƵ LJ ǀĞƌƌĂƐ ƐŽŶƚ ĚŝƐƉŽŶŝďůĞƐ ƐƵƌ ůĂ ƉůĂƚĞĨŽƌŵĞ hĚŝĚĚŝƚ͘ dƵ ƉŽƵƌƌĂƐ ĚŽŶĐ ůĞƐ ƌĞĨĂŝƌĞ ĐŚĞnj ƚŽŝ͘ ĞƐ ĞdžĞƌĐŝĐĞƐ ƐĞƌŽŶƚ ƌĞŶƐĞŝŐŶĠƐ ĚĂŶƐ ƚŽŶ ĐĂŚŝĞƌ ƉĂƌ ƵŶ ůŽŐŽ ƐƉĠĐŝĮ ƋƵĞ͘ dƵ LJ ƚƌŽƵǀĞƌĂƐ ĠŐĂůĞŵĞŶƚ ĚĞƐ ĞdžĞƌĐŝĐĞƐ ŝŶƚĞƌĂĐƟ ĨƐ ĂƵdžƋƵĞůƐ ƚƵ ƉŽƵƌƌĂƐ ƚΖĂĚŽŶŶĞƌ ůŝďƌĞŵĞŶƚ Ğƚ ƉŽƵƌ ůĞƐƋƵĞůƐ ƚƵ ĚŝƐƉŽƐĞƌĂƐ ĚΖƵŶ ĨĞĞĚďĂĐŬ ƉĞƌƐŽŶŶĂůŝƐĠ͘ ͛ĞƐƚ ĠŐĂůĞŵĞŶƚ ĚĂŶƐ ƚŽŶ ĐĂŚŝĞƌ Ě͛ĂĐƟ ǀŝƚĠƐ ƋƵĞ ƚƵ ƚƌŽƵǀĞƌĂƐ ƚŽŶ ĐŽĚĞ Ě͛ĂĐĐğƐ ă ƚŽŶ ĐŽŵƉƚĞ hĚŝĚĚŝƚ͘ EŽƵƐ ĞƐƉĠƌŽŶƐ ƋƵĞ ĐĞ ŵĂŶƵĞů ƚΖĂŝĚĞƌĂ ĚĂŶƐ ůĂ ĐŽŶƐƚƌƵĐƟ ŽŶ ĚĞ ƚŽŶ ƐĂǀŽŝƌ ŵĂƚŚĠŵĂƟ ƋƵĞ Ğƚ ƋƵΖĂƵ ƚĞƌŵĞ ĚĞ ĐĞƩ Ğ ƉƌĞŵŝğƌĞ ĂŶŶĠĞ͕ ƚƵ ĚŝƐƉŽƐĞƌĂƐ ĚĞ ŶŽƵǀĞĂƵdž ŽƵƟ ůƐ ƋƵŝ ƚĞ ƉĞƌŵĞƩ ƌŽŶƚ͕ ĚĂŶƐ ůΖĂǀĞŶŝƌ͕ ĚĞ ĨĂŝƌĞ ĚĞ ŐƌĂŶĚƐ ƉƌŽŐƌğƐ ĞŶ ŵĂƚŚĠŵĂƟ ƋƵĞƐ Ğƚ ƐƵƌƚŽƵƚ ĚĞ ůĞƐ ǀŽŝƌ ƐŽƵƐ ƵŶ ũŽƵƌ ŶŽƵǀĞĂƵ͘ >ĞƐ ĂƵƚĞƵƌƐ
3
Mode d’emploi dŽŶ ůŝǀƌĞ͕ ĐƟ ŵĂƚŚ ă ů͛ŝŶĮ Ŷŝ͕ ĞƐƚ ĚŝǀŝƐĠ ĞŶ ĚŽƵnjĞ ĐŚĂƉŝƚƌĞƐ͕ ĨĂĐŝůĞŵĞŶƚ ƌĞƉĠƌĂďůĞƐ ŐƌąĐĞ ĂƵdž ŝŶĚŝĐĂƟ ŽŶƐ ƐŝƚƵĠĞƐ ƐƵƌ ůĞ ďŽƌĚ ĞdžƚĠƌŝĞƵƌ ŵĞŶƟ ŽŶŶĂŶƚ ůĞ ŶƵŵĠƌŽ ĚƵ ĐŚĂƉŝƚƌĞ͘ ĞƐ ĐŚĂƉŝƚƌĞƐ ƐŽŶƚ ĞƵdžͲŵġŵĞƐ ĚŝǀŝƐĠƐ ĞŶ ĂĐƟ ǀŝƚĠƐ͘ dŽŶ ƉƌŽĨĞƐƐĞƵƌ ĐŚŽŝƐŝƌĂ ĐĞůůĞƐ ƋƵŝ ƚĞ ƉĞƌŵĞƩ ƌŽŶƚ ĚΖĂƩ ĞŝŶĚƌĞ ůĞƐ ŽďũĞĐƟ ĨƐ Į džĠƐ Ğƚ ŝů ƚĞ ĚŽŶŶĞƌĂ ĚĞƐ ĐŽŶƐĞŝůƐ ƉŽƵƌ ĐŽŵƉůĠƚĞƌ ĐĞƐ Į ĐŚĞƐ ĚĞ ƚƌĂǀĂŝů͘ >Ă ƚŚĠŽƌŝĞ ƌĞůĂƟ ǀĞ ă ĐŚĂƋƵĞ ĐŚĂƉŝƚƌĞ ĞƐƚ ƌĞŐƌŽƵƉĠĞ ĚĂŶƐ ƵŶ ƌĠĨĠƌĞŶƟ Ğů ƋƵĞ ƚƵ ĚĞǀƌĂƐ ĂƉƉŽƌƚĞƌ ĂǀĞĐ ƚŽŝ ă ĐŚĂƋƵĞ ŚĞƵƌĞ ĚĞ ĐŽƵƌƐ͘ Ŷ Ğī Ğƚ͕ ĐŚĂƋƵĞ ĨŽŝƐ ƋƵ͛ƵŶĞ ŶŽƵǀĞůůĞ ŶŽƟ ŽŶ ƚŚĠŽƌŝƋƵĞ ƐĞƌĂ ŵŝƐĞ ĞŶ ƉůĂĐĞ͕ ƚŽŶ ƉƌŽĨĞƐƐĞƵƌ ƚĞ ƌĞŶǀĞƌƌĂ ă ĐĞ ŵĂŶƵĞů ĚĞ ƌĠĨĠƌĞŶĐĞ͘ dƵ ƌĞŵĂƌƋƵĞƌĂƐ ƚƌğƐ ǀŝƚĞ ƋƵĞ ƚƌŽŝƐ ůŽŐŽƐ ĂƉƉĂƌĂŝƐƐĞŶƚ ƌĠŐƵůŝğƌĞŵĞŶƚ ĂƵ Į ů ĚĞƐ ƉĂŐĞƐ͘ /ůƐ ŽŶƚ ĠǀŝĚĞŵŵĞŶƚ ƵŶĞ ƐŝŐŶŝĮ ĐĂƟ ŽŶ ƉĂƌƟ ĐƵůŝğƌĞ͘ WĞŶĚĂŶƚ ƵŶĞ ĂĐƟ ǀŝƚĠ͕ Ɛŝ ƵŶĞ ŶŽƟ ŽŶ ƉĞƵƚ ;ĚŽŝƚͿ ġƚƌĞ ƉƌĠĐŝƐĠĞ ŽƵ ĨŽƌŵƵůĠĞ͕ ĐĞ ůŽŐŽ ƚΖŝŶĚŝƋƵĞ ůĂ ƌĠĨĠƌĞŶĐĞ ƉĞƌŵĞƩ ĂŶƚ ĚĞ ůĂ ƌĞƚƌŽƵǀĞƌ ĚĂŶƐ ůĂ ƚŚĠŽƌŝĞ͘ Ğ ůŽŐŽ ƐŝŐŶĂůĞ ƋƵĞ ĚĞƐ ĞdžĞƌĐŝĐĞƐ ĚĞ ƚŽŶ ůŝǀƌĞ ƐŽŶƚ ĂŶŝŵĠƐ Ğƚ ƐĞ ƚƌŽƵǀĞŶƚ ƐƵƌ ůĂ ƉůĂƚĞĨŽƌŵĞ hĚŝĚĚŝƚ͘ ĞůĂ ƚĞ ƉĞƌŵĞƩ ƌĂ ĚĞ ƚ͛ĞdžĞƌĐĞƌ ă ĚŽŵŝĐŝůĞ͘ CE
1D 7 17
20
Ğ ůŽŐŽ ŝŶĚŝƋƵĞ ƋƵĞ ůΖĞdžĞƌĐŝĐĞ ĐŽŶĐĞƌŶĠ Ă ĠƚĠ ƌĞƉƌŝƐ ĚĞƐ ƋƵĞƐƟ ŽŶƐ ĚƵ ϭ Ğƚ ĞŶ ƉƌĠĐŝƐĞ ůΖĂŶŶĠĞ͘
ŚĂƋƵĞ ĐŚĂƉŝƚƌĞ ƐĞ ƚĞƌŵŝŶĞ ƉĂƌ ƋƵĞůƋƵĞƐ ĨĞƵŝůůĞƐ ůĠŐğƌĞŵĞŶƚ ĐŽůŽƌĠĞƐ ĐŽŶƚĞŶĂŶƚ ƵŶĞ ƐĠƌŝĞ ĚΖĞdžĞƌĐŝĐĞƐ ĐŽŵƉůĠŵĞŶƚĂŝƌĞƐ͘ ĞƵdžͲĐŝ ƐŽŶƚ ĐůĂƐƐĠƐ ĞŶ ƚƌŽŝƐ ĐĂƚĠŐŽƌŝĞƐ͘ ͻ KEE 2dZ ^ĞůŽŶ ůĞƐ ĐĂƐ͕ ƚƵ ĚĞǀƌĂƐ ŝůůƵƐƚƌĞƌ ƵŶ ĠŶŽŶĐĠ ƉĂƌ ƵŶ ĞdžĞŵƉůĞ ŽƵ ƵŶ ĚĞƐƐŝŶ͕ ũƵƐƟ Į Ğƌ ĐĞƌƚĂŝŶĞƐ ĠƚĂƉĞƐ Ě͛ƵŶ ĐĂůĐƵů͕ ͘͘͘ ͻ WW>/Yh Z ĞƐ ĞdžĞƌĐŝĐĞƐ ƚĞ ƉĞƌŵĞƩ ƌŽŶƚ Ě͛ƵƟ ůŝƐĞƌ͕ Ě͛ĂƉƉůŝƋƵĞƌ ĚĞ ŵĂŶŝğƌĞ ƌĠŇ ĠĐŚŝĞ ůĞƐ ƐĂǀŽŝƌƐ ĂĐƋƵŝƐ͘ ͻ dZ E^& Z Z dƵ ƐĞƌĂƐ ĐŽŶĨƌŽŶƚĠ;ĞͿ ă ĚĞƐ ƐŝƚƵĂƟ ŽŶƐ ŶŽƵǀĞůůĞƐ Ğƚ ŝŶĠĚŝƚĞƐ ƋƵŝ Ɛ͛ŝŶƐĐƌŝǀĞŶƚ ƚŽƵƚĞĨŽŝƐ ĚĂŶƐ ůĞ ƉƌŽůŽŶŐĞŵĞŶƚ ĚĞ ĐĞůůĞƐ ĞdžƉůŽŝƚĠĞƐ ůŽƌƐ ĚĞƐ ĂƉƉƌĞŶƟ ƐƐĂŐĞƐ͘ >Ğ ŵŽŵĞŶƚ ǀĞŶƵ͕ ƚŽŶ ƉƌŽĨĞƐƐĞƵƌ ƚĞ ĚŝƌĂ ƋƵĞůƐ ĞdžĞƌĐŝĐĞƐ ƌĠƐŽƵĚƌĞ͘ dŽŶ ůŝǀƌĞ ƐĞ ƚĞƌŵŝŶĞ ƉĂƌ ƋƵĞůƋƵĞƐ ƉĂŐĞƐ Ě͛ĞdžĞƌĐŝĐĞƐ ĚĞƐƟ ŶĠƐ ă ǀĠƌŝĮ Ğƌ ƋƵĞ ƚƵ ŵĂŠƚƌŝƐĞƐ ůĞƐ ĐŽŵƉĠƚĞŶĐĞƐ ĚĠǀĞůŽƉƉĠĞƐ͘ WŽƵƌ ůĞƐ ƌĠƐŽƵĚƌĞ͕ ƚƵ ĚĞǀƌĂƐ ŵĞƩ ƌĞ ĞŶ ƈƵǀƌĞ͕ ĞŶ ůĞƐ ŽƌŐĂŶŝƐĂŶƚ͕ ĚĞƐ ƐĂǀŽŝƌƐ͕ ĚĞƐ ƐĂǀŽŝƌͲĨĂŝƌĞ Ğƚ ĚĞƐ Ăƫ ƚƵĚĞƐ͘ /ůƐ ƚĞ ƉƌĠƉĂƌĞƌŽŶƚ ă ů͛ĠƉƌĞƵǀĞ ĚƵ ϭ ă ůĂƋƵĞůůĞ ƚƵ ƐĞƌĂƐ ƐŽƵŵŝƐ ă ůĂ Į Ŷ ĚƵ ƉƌĞŵŝĞƌ ĚĞŐƌĠ͘ dŽŶ ƉƌŽĨĞƐƐĞƵƌ ƵƟ ůŝƐĞƌĂ ƉĞƵƚͲġƚƌĞ ĞŶ ĐůĂƐƐĞ ůĞ ŵĂŶƵĞů ŶƵŵĠƌŝƋƵĞ ĚĞ ƚŽŶ ĐƟ ŵĂƚŚ ă ů͛/ŶĮ Ŷŝ͘ dŽƵƐ ůĞƐ ĞdžĞƌĐŝĐĞƐ ĂŶŝŵĠƐ ƋƵĞ ƚƵ LJ ǀĞƌƌĂƐ ƐŽŶƚ ĚŝƐƉŽŶŝďůĞƐ ƐƵƌ hĚŝĚĚŝƚ͘ dƵ LJ ƚƌŽƵǀĞƌĂƐ ĠŐĂůĞŵĞŶƚ ĚĞƐ ĞdžĞƌĐŝĐĞƐ ŝŶƚĞƌĂĐƟ ĨƐ ĂƵdžƋƵĞůƐ ƚƵ ƉŽƵƌƌĂƐ ƚΖĂĚŽŶŶĞƌ ůŝďƌĞŵĞŶƚ Ğƚ ƉŽƵƌ ůĞƐƋƵĞůƐ ƚƵ ĚŝƐƉŽƐĞƌĂƐ ĚΖƵŶ ĨĞĞĚďĂĐŬ ƉĞƌƐŽŶŶĂůŝƐĠ͘ dŽƵƚĞƐ ůĞƐ ǀŝĚĠŽƐ ƐŽŶƚ ĂĐĐĞƐƐŝďůĞƐ ĚŝƌĞĐƚĞŵĞŶƚ ǀŝĂ ƚŽŶ ƐŵĂƌƚƉŚŽŶĞ ŽƵ ƚĂ ƚĂďůĞƩ Ğ ͊ ϭ͘ dĠůĠĐŚĂƌŐĞ ůΖĂƉƉůŝĐĂƟ ŽŶ ^ĠƐĂŵĞ ĚĞƐ ĚŝƟ ŽŶƐ s E /E͘
Ϯ͘ ^ĐĂŶŶĞ ůĞ YZ ĐŽĚĞ ƐƵƌ ůĂ ƉĂŐĞ ͗ ƚƵ ĂƵƌĂƐ ĚŝƌĞĐƚĞŵĞŶƚ ĂĐĐğƐ ĂƵdž ǀŝĚĠŽƐ ͊
ŽŶ ƚƌĂǀĂŝů ĂǀĞĐ ĐƟ ŵĂƚŚ ă ů͛ŝŶĮ Ŷŝ ͊ 4
Table des matières /ŶƚƌŽĚƵĐƟ ŽŶ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
3
Mode d’emploi ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
4
dĂďůĞ ĚĞƐ ŵĂƟ ğƌĞƐ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
5
Chapitre 1 • Calcul mental ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
9
ĐƟ ǀŝƚĠ ϭ ĐƟ ǀŝƚĠ Ϯ ĐƟ ǀŝƚĠ ϯ ĐƟ ǀŝƚĠ ϰ ĐƟ ǀŝƚĠ ϱ ĐƟ ǀŝƚĠ ϲ ĐƟ ǀŝƚĠ ϳ
sŽĐĂďƵůĂŝƌĞ ĚĞƐ ŽƉĠƌĂƟ ŽŶƐ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ WƌŽƉƌŝĠƚĠƐ ĚĞ ů͛ĂĚĚŝƟ ŽŶ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ WƌŽƉƌŝĠƚĠƐ ĚĞ ůĂ ŵƵůƟ ƉůŝĐĂƟ ŽŶ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ŝƐƚƌŝďƵƟ ǀŝƚĠ ƐŝŵƉůĞ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ DŝƐĞ ĞŶ ĠǀŝĚĞŶĐĞ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ WƌŝŽƌŝƚĠƐ ĚĞƐ ŽƉĠƌĂƟ ŽŶƐ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ĠŶŽŵďƌĞŵĞŶƚ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
ϭϬ ϭϮ ϭϯ ϭϰ ϭϱ ϭϳ Ϯϭ
džĞƌĐŝĐĞƐ ĐŽŵƉůĠŵĞŶƚĂŝƌĞƐ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
ϮϮ
ŚĂƉŝƚƌĞ Ϯ ͻ ŝǀŝƐĞƵƌƐ Ğƚ ŵƵůƟ ƉůĞƐ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
25
ĐƟ ǀŝƚĠ ϭ ĐƟ ǀŝƚĠ Ϯ ĐƟ ǀŝƚĠ ϯ ĐƟ ǀŝƚĠ ϰ ĐƟ ǀŝƚĠ ϱ ĐƟ ǀŝƚĠ ϲ ĐƟ ǀŝƚĠ ϳ ĐƟ ǀŝƚĠ ϴ ĐƟ ǀŝƚĠ ϵ ĐƟ ǀŝƚĠ ϭϬ ĐƟ ǀŝƚĠ ϭϭ ĐƟ ǀŝƚĠ ϭϮ
ŝǀŝƐĞƵƌƐ Ě͛ƵŶ ŶŽŵďƌĞ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ DƵůƟ ƉůĞƐ Ě͛ƵŶ ŶŽŵďƌĞ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ŝǀŝƐĞƵƌ ŽƵ ŵƵůƟ ƉůĞ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ĂƌĂĐƚğƌĞƐ ĚĞ ĚŝǀŝƐŝďŝůŝƚĠ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ŝǀŝƐŝďŝůŝƚĠ Ğƚ ƉƌŽƉƌŝĠƚĠƐ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ :ƵƐƟ Į ĐĂƟ ŽŶ ĚĞ ůĂ ĚŝǀŝƐŝďŝůŝƚĠ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ĠĐŽŵƉŽƐŝƟ ŽŶ Ě͛ƵŶ ŶŽŵďƌĞ ĞŶ ƵŶ ƉƌŽĚƵŝƚ ĚĞ ĨĂĐƚĞƵƌƐ ƉƌĞŵŝĞƌƐ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ WƵŝƐƐĂŶĐĞƐ Ě͛ƵŶ ŶŽŵďƌĞ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ WƵŝƐƐĂŶĐĞƐ ĚĞ ϭϬ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ WƌŝŽƌŝƚĠƐ ĚĞƐ ŽƉĠƌĂƟ ŽŶƐ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ &ĂĐƚŽƌŝƐĂƟ ŽŶ ƉƌĞŵŝğƌĞ Ě͛ƵŶ ŶŽŵďƌĞ ŶĂƚƵƌĞů Ğƚ ĚŝǀŝƐĞƵƌƐ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ĠŶŽŵďƌĞŵĞŶƚ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
Ϯϳ ϯϬ ϯϮ ϯϯ ϯϲ ϰϬ ϰϭ ϰϮ ϰϰ ϰϱ ϰϲ ϱϬ
džĞƌĐŝĐĞƐ ĐŽŵƉůĠŵĞŶƚĂŝƌĞƐ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
ϱϭ
Chapitre 3 • Traitement de données et pourcentages ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
57
ĐƟ ǀŝƚĠ ϭ ĐƟ ǀŝƚĠ Ϯ ĐƟ ǀŝƚĠ ϯ ĐƟ ǀŝƚĠ ϰ ĐƟ ǀŝƚĠ ϱ ĐƟ ǀŝƚĠ ϲ
'ƌĂƉŚŝƋƵĞƐ ĚĞ ƚŽƵƚĞƐ ƐŽƌƚĞƐ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ĂůĐƵůƐ ĚĞ ƉŽƵƌĐĞŶƚĂŐĞƐ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ EŽƟ ŽŶ ĚĞ ƌĞƉĠƌĂŐĞ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ hƟ ůŝƐĂƟ ŽŶ ĚƵ ƌĂƉƉŽƌƚĞƵƌ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ZĞƉƌĠƐĞŶƚĂƟ ŽŶ ĚĞ ĚŽŶŶĠĞƐ ŶƵŵĠƌŝƋƵĞƐ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ŶĂůLJƐĞ ĚĞ ŐƌĂƉŚŝƋƵĞƐ Ğƚ ĚĞ ĚŝĂŐƌĂŵŵĞƐ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
ϱϵ ϲϭ ϲϰ ϲϳ ϲϴ ϳϬ
džĞƌĐŝĐĞƐ ĐŽŵƉůĠŵĞŶƚĂŝƌĞƐ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
ϳϯ
ŚĂƉŝƚƌĞ ϰ ͻ ĚĚŝƟ ŽŶ Ğƚ ƐŽƵƐƚƌĂĐƟ ŽŶ ĂǀĞĐ ůĞƐ ŶŽŵďƌĞƐ ĞŶƟ ĞƌƐ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
79
ĐƟ ǀŝƚĠ ϭ ĐƟ ǀŝƚĠ Ϯ ĐƟ ǀŝƚĠ ϯ ĐƟ ǀŝƚĠ ϰ ĐƟ ǀŝƚĠ ϱ ĐƟ ǀŝƚĠ ϲ ĐƟ ǀŝƚĠ ϳ ĐƟ ǀŝƚĠ ϴ ĐƟ ǀŝƚĠ ϵ
Ğ ŶŽƵǀĞĂƵdž ŶŽŵďƌĞƐ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ŽŵƉĂƌĂŝƐŽŶ ĚĞ ĚĞƵdž ŶŽŵďƌĞƐ ĞŶƟ ĞƌƐ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ^ŽŵŵĞ ĚĞ ĚĞƵdž ŶŽŵďƌĞƐ ĞŶƟ ĞƌƐ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ŝī ĠƌĞŶĐĞ ĚĞ ĚĞƵdž ŶŽŵďƌĞƐ ĞŶƟ ĞƌƐ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ^ŽŵŵĞ Ğƚ Ěŝī ĠƌĞŶĐĞ ĚĞ ĚĞƵdž ŶŽŵďƌĞƐ ĞŶƟ ĞƌƐ ƐĂŶƐ ƉĂƌĞŶƚŚğƐĞƐ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ^ŽŵŵĞ Ğƚ Ěŝī ĠƌĞŶĐĞ ĚĞ ĚĞƵdž ŶŽŵďƌĞƐ ĞŶƟ ĞƌƐ ;ƐLJŶƚŚğƐĞͿ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ WƌŽƉƌŝĠƚĠƐ ĚĞ ů͛ĂĚĚŝƟ ŽŶ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ZĞƉĠƌĂŐĞ Ě͛ƵŶ ƉŽŝŶƚ ĚƵ ƉůĂŶ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ WƌŽďůğŵĞƐ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
ϴϭ ϴϮ ϴϯ ϴϱ ϴϲ ϴϳ ϴϵ ϵϭ ϵϰ
džĞƌĐŝĐĞƐ ĐŽŵƉůĠŵĞŶƚĂŝƌĞƐ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
ϵϲ
5
TABLE DES MATIÈRES
ŚĂƉŝƚƌĞ ϱ ͻ dƌĂŶƐĨŽƌŵĂƟ ŽŶƐ ĚƵ ƉůĂŶ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ 101 ĐƟ ǀŝƚĠ ϭ ĐƟ ǀŝƚĠ Ϯ ĐƟ ǀŝƚĠ ϯ ĐƟ ǀŝƚĠ ϰ ĐƟ ǀŝƚĠ ϱ
ĠĐŽƵǀĞƌƚĞ ĚĞƐ ƚƌĂŶƐĨŽƌŵĂƟ ŽŶƐ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ZĞĐŚĞƌĐŚĞ ĚĞ ƚƌĂŶƐĨŽƌŵĂƟ ŽŶƐ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ^LJŵĠƚƌŝĞ ŽƌƚŚŽŐŽŶĂůĞ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ^LJŵĠƚƌŝĞ ĐĞŶƚƌĂůĞ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ dƌĂŶƐůĂƟ ŽŶ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
ϭϬϯ ϭϬϱ ϭϬϳ ϭϬϴ ϭϬϵ
džĞƌĐŝĐĞƐ ĐŽŵƉůĠŵĞŶƚĂŝƌĞƐ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ϭϭϬ Chapitre 6 • Figures planes ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ϭϭϱ ĐƟ ǀŝƚĠ ϭ ĐƟ ǀŝƚĠ Ϯ ĐƟ ǀŝƚĠ ϯ ĐƟ ǀŝƚĠ ϰ ĐƟ ǀŝƚĠ ϱ ĐƟ ǀŝƚĠ ϲ ĐƟ ǀŝƚĠ ϳ ĐƟ ǀŝƚĠ ϴ ĐƟ ǀŝƚĠ ϵ ĐƟ ǀŝƚĠ ϭϬ ĐƟ ǀŝƚĠ ϭϭ ĐƟ ǀŝƚĠ ϭϮ
ĠĐŽƵǀĞƌƚĞ ĚĞƐ ƋƵĂĚƌŝůĂƚğƌĞƐ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ĠĮ ŶŝƟ ŽŶ ĚĞƐ ƋƵĂĚƌŝůĂƚğƌĞƐ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ hŶŝĐŝƚĠ ĚĞ ůĂ ƉĂƌĂůůğůĞ Ğƚ ĚĞ ůĂ ƉĞƌƉĞŶĚŝĐƵůĂŝƌĞ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ KƌŐĂŶŝŐƌĂŵŵĞ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ĂƌĂĐƚĠƌŝƐƟ ƋƵĞƐ ĚĞƐ ƋƵĂĚƌŝůĂƚğƌĞƐ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ŝĂŐŽŶĂůĞƐ ĚĞƐ ƋƵĂĚƌŝůĂƚğƌĞƐ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ĠĐŽƵǀĞƌƚĞ ĚĞƐ ƚƌŝĂŶŐůĞƐ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ŽŶƐƚƌƵĐƟ ŽŶƐ ĚĞ ƚƌŝĂŶŐůĞƐ ƐĂŶƐ ŵĞƐƵƌĞƐ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ŽŶƐƚƌƵĐƟ ŽŶƐ ĚĞ ƚƌŝĂŶŐůĞƐ ĂǀĞĐ ŵĞƐƵƌĞƐ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ƌŽŝƚĞƐ ƌĞŵĂƌƋƵĂďůĞƐ ĚĞƐ ƚƌŝĂŶŐůĞƐ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ &ŝŐƵƌĞƐ ŝŶƐĐƌŝƚĞƐ ĚĂŶƐ ƵŶ ĐĞƌĐůĞ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ WƌŽďůğŵĞƐ ĚĞ ƉĠƌŝŵğƚƌĞƐ Ğƚ Ě͛ĂŝƌĞƐ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
ϭϭϴ ϭϮϬ ϭϮϬ ϭϮϭ ϭϮϮ ϭϮϰ ϭϮϲ ϭϮϴ ϭϮϴ ϭϯϬ ϭϯϮ ϭϯϯ
džĞƌĐŝĐĞƐ ĐŽŵƉůĠŵĞŶƚĂŝƌĞƐ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ϭϯϲ Chapitre 7 • Solides ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ϭϰϯ ĐƟ ǀŝƚĠ ϭ ĐƟ ǀŝƚĠ Ϯ ĐƟ ǀŝƚĠ ϯ ĐƟ ǀŝƚĠ ϰ ĐƟ ǀŝƚĠ ϱ ĐƟ ǀŝƚĠ ϲ ĐƟ ǀŝƚĠ ϳ ĐƟ ǀŝƚĠ ϴ
^ŽůŝĚĞƐ ĂƵ ƋƵŽƟ ĚŝĞŶ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ZĞƉƌĠƐĞŶƚĂƟ ŽŶƐ ĚĞ ƐŽůŝĚĞƐ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ WůĂŶƐ͕ ĨĂĐĞƐ͕ ĚƌŽŝƚĞƐ Ğƚ ĂƌġƚĞƐ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ĠǀĞůŽƉƉĞŵĞŶƚƐ ĚĞ ƐŽůŝĚĞƐ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ĠǀĞůŽƉƉĞŵĞŶƚƐ ĚƵ ĐƵďĞ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ sƵĞƐ ĐŽŽƌĚŽŶŶĠĞƐ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ WƌŝƐŵĞƐ Ğƚ ĚĠŶŽŵďƌĞŵĞŶƚ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ WƌŽďůğŵĞƐ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
ϭϰϱ ϭϰϳ ϭϱϭ ϭϱϮ ϭϱϯ ϭϱϰ ϭϱϱ ϭϱϲ
džĞƌĐŝĐĞƐ ĐŽŵƉůĠŵĞŶƚĂŝƌĞƐ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ϭϱϴ ŚĂƉŝƚƌĞ ϴ ͻ KƉĠƌĂƟ ŽŶƐ ĂǀĞĐ ůĞƐ ŶŽŵďƌĞƐ ĞŶƟ ĞƌƐ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ 163 ĐƟ ǀŝƚĠ ϭ ĐƟ ǀŝƚĠ Ϯ ĐƟ ǀŝƚĠ ϯ ĐƟ ǀŝƚĠ ϰ ĐƟ ǀŝƚĠ ϱ ĐƟ ǀŝƚĠ ϲ ĐƟ ǀŝƚĠ ϳ
WƌŽĚƵŝƚ ĚĞ ĚĞƵdž ŶŽŵďƌĞƐ ĞŶƟ ĞƌƐ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ WƌŽƉƌŝĠƚĠƐ ĚĞ ůĂ ŵƵůƟ ƉůŝĐĂƟ ŽŶ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ KƉĠƌĂƟ ŽŶƐ ĠůĠŵĞŶƚĂŝƌĞƐ ĂǀĞĐ ůĞƐ ŶŽŵďƌĞƐ ĞŶƟ ĞƌƐ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ WƌŝŽƌŝƚĠƐ ĚĞƐ ŽƉĠƌĂƟ ŽŶƐ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ sĂůĞƵƌƐ ŶƵŵĠƌŝƋƵĞƐ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ WƌŽďůğŵĞƐ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ >ŝĞŶ ĞŶƚƌĞ ĐŽŽƌĚŽŶŶĠĞƐ Ğƚ ĚƌŽŝƚĞƐ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
ϭϲϱ ϭϲϳ ϭϲϴ ϭϳϬ ϭϳϮ ϭϳϯ ϭϳϱ
džĞƌĐŝĐĞƐ ĐŽŵƉůĠŵĞŶƚĂŝƌĞƐ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ϭϳϳ
6
TABLE DES MATIÈRES ŚĂƉŝƚƌĞ ϵ ͻ ĂůĐƵů ůŝƩ ĠƌĂů ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ 181 ĐƟ ǀŝƚĠ ϭ ĐƟ ǀŝƚĠ Ϯ ĐƟ ǀŝƚĠ ϯ ĐƟ ǀŝƚĠ ϰ ĐƟ ǀŝƚĠ ϱ ĐƟ ǀŝƚĠ ϲ ĐƟ ǀŝƚĠ ϳ ĐƟ ǀŝƚĠ ϴ ĐƟ ǀŝƚĠ ϵ ĐƟ ǀŝƚĠ ϭϬ ĐƟ ǀŝƚĠ ϭϭ
džƉƌĞƐƐŝŽŶ ůŝƩ ĠƌĂůĞ Ğƚ ĐŽĚĂŐĞ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ZĠĚƵĐƟ ŽŶ ĚĞ ƐŽŵŵĞƐ ĂůŐĠďƌŝƋƵĞƐ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ZĠĚƵĐƟ ŽŶ ĚĞ ƉƌŽĚƵŝƚƐ ĂůŐĠďƌŝƋƵĞƐ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ džƉƌĞƐƐŝŽŶƐ ůŝƩ ĠƌĂůĞƐ Ğƚ ŶŽŵďƌĞƐ ĞŶƟ ĞƌƐ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ WƌŝŽƌŝƚĠƐ ĚĞƐ ŽƉĠƌĂƟ ŽŶƐ Ğƚ ĐĂůĐƵů ůŝƩ ĠƌĂů ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ƋƵĂƟ ŽŶƐ ͗ ƉƌĞŵŝğƌĞ ĂƉƉƌŽĐŚĞ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ŝƐƚƌŝďƵƟ ǀŝƚĠ ƐŝŵƉůĞ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ DŝƐĞ ĞŶ ĠǀŝĚĞŶĐĞ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ^ƵƉƉƌĞƐƐŝŽŶ ĚĞ ƉĂƌĞŶƚŚğƐĞƐ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ &ĂŵŝůůĞƐ ĚĞ ŶŽŵďƌĞƐ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ĠŶŽŵďƌĞŵĞŶƚ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
ϭϴϯ ϭϴϰ ϭϴϲ ϭϴϴ ϭϵϬ ϭϵϭ ϭϵϱ ϭϵϳ ϭϵϵ ϮϬϭ ϮϬϯ
džĞƌĐŝĐĞƐ ĐŽŵƉůĠŵĞŶƚĂŝƌĞƐ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ϮϬϲ ŚĂƉŝƚƌĞ ϭϬ ͻ ZĞƚŽƵƌ ĂƵdž ƚƌĂŶƐĨŽƌŵĂƟ ŽŶƐ ĚƵ ƉůĂŶ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ 211 ĐƟ ǀŝƚĠ ϭ ĐƟ ǀŝƚĠ Ϯ ĐƟ ǀŝƚĠ ϯ ĐƟ ǀŝƚĠ ϰ ĐƟ ǀŝƚĠ ϱ ĐƟ ǀŝƚĠ ϲ
ZĞƚŽƵƌ ĂƵdž ƚƌĂŶƐĨŽƌŵĂƟ ŽŶƐ ͊ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ^LJŵĠƚƌŝĞ ŽƌƚŚŽŐŽŶĂůĞ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ^LJŵĠƚƌŝĞ ĐĞŶƚƌĂůĞ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ dƌĂŶƐůĂƟ ŽŶ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ /ŶǀĂƌŝĂŶƚƐ ĚĞƐ ƚƌĂŶƐĨŽƌŵĂƟ ŽŶƐ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ŽŶƐƚƌƵĐƟ ŽŶƐ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
ϮϭϮ ϮϭϮ Ϯϭϰ Ϯϭϱ Ϯϭϳ Ϯϭϵ
džĞƌĐŝĐĞƐ ĐŽŵƉůĠŵĞŶƚĂŝƌĞƐ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ϮϮϬ ŚĂƉŝƚƌĞ ϭϭ ͻ WƌŽƉŽƌƟ ŽŶŶĂůŝƚĠ ĐƟ ǀŝƚĠ ϭ ĐƟ ǀŝƚĠ Ϯ ĐƟ ǀŝƚĠ ϯ ĐƟ ǀŝƚĠ ϰ
͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
223
'ƌĂŶĚĞƵƌƐ ĚŝƌĞĐƚĞŵĞŶƚ ƉƌŽƉŽƌƟ ŽŶŶĞůůĞƐ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ 'ƌĂŶĚĞƵƌƐ ĚŝƌĞĐƚĞŵĞŶƚ ƉƌŽƉŽƌƟ ŽŶŶĞůůĞƐ ŽƵ ŶŽŶ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ WƌŽďůğŵĞƐ ĚĞ ƌğŐůĞ ĚĞ ƚƌŽŝƐ Ğƚ ĚĞ ƉƌŽƉŽƌƟ ŽŶŶĂůŝƚĠ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ĐŚĞůůĞ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
ϮϮϰ ϮϮϲ ϮϮϵ Ϯϯϭ
džĞƌĐŝĐĞƐ ĐŽŵƉůĠŵĞŶƚĂŝƌĞƐ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ Ϯϯϰ ŚĂƉŝƚƌĞ ϭϮ ͻ &ƌĂĐƟ ŽŶƐ Ğƚ ŶŽŵďƌĞƐ ĚĠĐŝŵĂƵdž ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ 239 ĐƟ ǀŝƚĠ ϭ ĐƟ ǀŝƚĠ Ϯ ĐƟ ǀŝƚĠ ϯ ĐƟ ǀŝƚĠ ϰ ĐƟ ǀŝƚĠ ϱ ĐƟ ǀŝƚĠ ϲ ĐƟ ǀŝƚĠ ϳ ĐƟ ǀŝƚĠ ϴ ĐƟ ǀŝƚĠ ϵ
>Ă ĨƌĂĐƟ ŽŶ ƐŽƵƐ ƚŽƵƚĞƐ ƐĞƐ ĨŽƌŵĞƐ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ &ƌĂĐƟ ŽŶƐ ĠƋƵŝǀĂůĞŶƚĞƐ Ğƚ ƐŝŵƉůŝĮ ĐĂƟ ŽŶ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ &ƌĂĐƟ ŽŶ Ğƚ ŶŽŵďƌĞ ĚĠĐŝŵĂů ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ƌŽŝƚĞ ŐƌĂĚƵĠĞ Ğƚ ǀĂůĞƵƌƐ ĂƉƉƌŽĐŚĠĞƐ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ŽŵƉĂƌĂŝƐŽŶ ĚĞ ĨƌĂĐƟ ŽŶƐ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ WƌŽĚƵŝƚ ĚĞ ĨƌĂĐƟ ŽŶƐ Ğƚ ĚĞ ŶŽŵďƌĞƐ ĚĠĐŝŵĂƵdž ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ YƵŽƟ ĞŶƚ ĂǀĞĐ ĚĞƐ ĨƌĂĐƟ ŽŶƐ Ğƚ ĚĞƐ ŶŽŵďƌĞƐ ĚĠĐŝŵĂƵdž ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ^ŽŵŵĞ Ğƚ Ěŝī ĠƌĞŶĐĞ ĚĞ ĨƌĂĐƟ ŽŶƐ Ğƚ ĚĞ ŶŽŵďƌĞƐ ĚĠĐŝŵĂƵdž ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ WƌŽďůğŵĞƐ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
Ϯϰϭ Ϯϰϰ Ϯϰϱ Ϯϰϳ Ϯϰϵ Ϯϱϭ Ϯϱϰ Ϯϱϱ Ϯϱϴ
džĞƌĐŝĐĞƐ ĐŽŵƉůĠŵĞŶƚĂŝƌĞƐ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ Ϯϲϭ Exercices de compétences ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ 265 Index ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ 271
7
Chapitre 3 Traitement de données et pourcentages Tableaux de compétences Libre EŽŵďƌĞƐ ƌĂƟ ŽŶŶĞůƐ 11
DĂŠƚƌŝƐĞƌ ůĞƐ ĐŽŶǀĞŶƟ ŽŶƐ Ě͛ĠĐƌŝƚƵƌĞ ŵĂƚŚĠŵĂƟ ƋƵĞ ĚĞƐ ŽƉĠƌĂƟ ŽŶƐ ĂǀĞĐ ĚĞƐ ĞŶƟ ĞƌƐ͘
16
ZĞĐŽŶŶĂŠƚƌĞ ůĞƐ ĐŝƌĐŽŶƐƚĂŶĐĞƐ Ě͛ƵƟ ůŝƐĂƟ ŽŶ ĚĞƐ ƚĞƌŵĞƐ ƵƐƵĞůƐ͕ ĚĞƐ ŶŽƚĂƟ ŽŶƐ Ğƚ ĚĞƐ ŽƉĠƌĂƟ ŽŶƐ ƉƌŽƉƌĞƐ ĂƵdž ŶŽŵďƌĞƐ͘
17
sĠƌŝĮ Ğƌ ĂǀĞĐ ƵŶĞ ĐĂůĐƵůĂƚƌŝĐĞ ůĂ ƉůĂƵƐŝďŝůŝƚĠ Ě͛ƵŶ ƌĠƐƵůƚĂƚ͘
Les mouvements du plan 42
ƐƐŽĐŝĞƌ ƵŶ ƉŽŝŶƚ Ğƚ ƐŽŶ ĂďƐĐŝƐƐĞ ƐƵƌ ƵŶ ĂdžĞ͘
43
ƐƐŽĐŝĞƌ ƵŶ ƉŽŝŶƚ Ğƚ ƐĞƐ ĐŽŽƌĚŽŶŶĠĞƐ ƐƵƌ ƵŶ ƋƵĂĚƌŝůůĂŐĞ͘
Mesurer des angles 71
DĞƐƵƌĞƌ ů͛ĂŵƉůŝƚƵĚĞ Ě͛ƵŶ ĂŶŐůĞ ĂǀĞĐ ƵŶ ƌĂƉƉŽƌƚĞƵƌ͘
72
dƌĂĐĞƌ ƵŶ ĂŶŐůĞ Ě͛ĂŵƉůŝƚƵĚĞ ĚŽŶŶĠĞ͘
73
ZĞƉŽƌƚĞƌ ĚĞƐ ĂŶŐůĞƐ͘
'ƌĂŶĚĞƵƌƐ ƉƌŽƉŽƌƟ ŽŶŶĞůůĞƐ 77
:ƵƐƟ Į Ğƌ ů͛ƵƐĂŐĞ Ě͛ƵŶ ƉŽƵƌĐĞŶƚĂŐĞ ĚĂŶƐ ƵŶ ĐĂůĐƵů͘
78
ŽŵƉůĠƚĞƌ ƵŶ ƚĂďůĞĂƵ ĚĞ ƉƌŽƉŽƌƟ ŽŶŶĂůŝƚĠ͘
79
hƟ ůŝƐĞƌ ůĞƐ ƉŽƵƌĐĞŶƚĂŐĞƐ ĐŽŵŵĞ ƵŶ ƌĂƉƉŽƌƚ ƉĂƌƟ ĐƵůŝĞƌ͘
80
ĂŶƐ ƵŶĞ ƐŝƚƵĂƟ ŽŶ ĚĞ ƉƌŽƉŽƌƟ ŽŶŶĂůŝƚĠ ĚŝƌĞĐƚĞ͕ ĐŽŵƉůĠƚĞƌ͕ ĐŽŶƐƚƌƵŝƌĞ͕ ĠƚĞŶĚƌĞ͕ ĞdžƉůŽŝƚĞƌ ƵŶ ƚĂďůĞĂƵ ĚĞ ŶŽŵďƌĞƐ͘
57
ACTIVITÉS
Chapitre 3 Traitement de données et pourcentages
>ĞƐ ƌĞƉƌĠƐĞŶƚĂƟ ŽŶƐ ĚĞ ĚŽŶŶĠĞƐ
3
82
/ŶƚĞƌƉƌĠƚĞƌ ƵŶ ƚĂďůĞĂƵ ĚĞ ŶŽŵďƌĞƐ͕ ƵŶ ŐƌĂƉŚŝƋƵĞ͕ ƵŶ ĚŝĂŐƌĂŵŵĞ͘
83
WƌĠƐĞŶƚĞƌ ĚĞƐ ĚŽŶŶĠĞƐ ŶƵŵĠƌŝƋƵĞƐ ƐŽƵƐ ĨŽƌŵĞ Ě͛ƵŶ ĚŝĂŐƌĂŵŵĞ ĞŶ ďąƚŽŶƐ͕ ĐŝƌĐƵůĂŝƌĞ ŽƵ ĠǀŽůƵƟ Ĩ͘
84
ƚĂďůŝƌ ƵŶ ůŝĞŶ ĞŶƚƌĞ ůĞƐ ŝŶĨŽƌŵĂƟ ŽŶƐ ĨŽƵƌŶŝĞƐ ƉĂƌ ƵŶ ƚĂďůĞĂƵ ĚĞ ŶŽŵďƌĞƐ Ğƚ ƵŶ ĚŝĂŐƌĂŵŵĞ ĞdžƉůŽŝƚĂŶƚ ůĞ ŵġŵĞ ĞŶƐĞŵďůĞ ĚĞ ĚŽŶŶĠĞƐ͘
Kĸ ĐŝĞů Lire et écrire des nombres 2
ĐƌŝƌĞ Ğƚ ƌĞĐŽŶŶĂŠƚƌĞ ƵŶ ŵġŵĞ ŶŽŵďƌĞ ƐŽƵƐ Ěŝī ĠƌĞŶƚĞƐ ĨŽƌŵĞƐ͘
6
ƌƌŽŶĚŝƌ ƵŶ ŶŽŵďƌĞ ĚĠĐŝŵĂů͕ ĞŶ ĚŽŶŶĞƌ ƵŶĞ ǀĂůĞƵƌ ĂƉƉƌŽĐŚĠĞ ƉĂƌ ĚĠĨĂƵƚ Ğƚ ƉĂƌ ĞdžĐğƐ͘
Repérer et classer 7
WůĂĐĞƌ ƐƵƌ ƵŶĞ ĚƌŽŝƚĞ ŐƌĂĚƵĠĞ ;ĂdžĞͿ ĚĞƐ ŶŽŵďƌĞƐ ŶĂƚƵƌĞůƐ Ğƚ ĚĞƐ ŶŽŵďƌĞƐ ĚĠĐŝŵĂƵdž ƉŽƐŝƟ ĨƐ͘
8
>ŝƌĞ ů͛ĂďƐĐŝƐƐĞ Ě͛ƵŶ ƉŽŝŶƚ͘
17
WůĂĐĞƌ ƵŶ ĐŽƵƉůĞ ĚĞ ŶŽŵďƌĞƐ ĚĂŶƐ ƵŶ ƌĞƉğƌĞ ĐĂƌƚĠƐŝĞŶ͘
ī ĞĐƚƵĞƌ ĚĞƐ ŽƉĠƌĂƟ ŽŶƐ 25
ī ĞĐƚƵĞƌ ƐĞůŽŶ ƵŶĞ ŵĠƚŚŽĚĞ ĂƉƉƌŽƉƌŝĠĞ ;ĐĂůĐƵů ŵĞŶƚĂů͕ ĐĂůĐƵů ĠĐƌŝƚ͕ ĐĂůĐƵůĂƚƌŝĐĞͿ ĚĞƐ ĂĚĚŝƟ ŽŶƐ͕ ĚĞƐ ƐŽƵƐƚƌĂĐƟ ŽŶƐ͕ ĚĞƐ ŵƵůƟ ƉůŝĐĂƟ ŽŶƐ Ğƚ ĚĞƐ ĚŝǀŝƐŝŽŶƐ ĚĞ ŶŽŵďƌĞƐ ŶĂƚƵƌĞůƐ Ğƚ ĚĞ ŶŽŵďƌĞƐ ĚĠĐŝŵĂƵdž ƉŽƐŝƟ ĨƐ͘
28
ƐƟ ŵĞƌ ů͛ŽƌĚƌĞ ĚĞ ŐƌĂŶĚĞƵƌ Ğƚ ǀĠƌŝĮ Ğƌ ă ůĂ ĐĂůĐƵůĂƚƌŝĐĞ ůĂ ƉůĂƵƐŝďŝůŝƚĠ Ě͛ƵŶ ƌĠƐƵůƚĂƚ͘
Résoudre des problèmes et représenter des données 36
ZĠƐŽƵĚƌĞ ĚĞƐ ƉƌŽďůğŵĞƐ ŵĞƩ ĂŶƚ ĞŶ ƈƵǀƌĞ ĚĞƐ ƉŽƵƌĐĞŶƚĂŐĞƐ͘
38
/ŶƚĞƌƉƌĠƚĞƌ ƵŶ ƚĂďůĞĂƵ ĚĞ ŶŽŵďƌĞƐ͕ ƵŶ ŐƌĂƉŚŝƋƵĞ͕ ƵŶ ĚŝĂŐƌĂŵŵĞ͘
39
ZĞƉƌĠƐĞŶƚĞƌ ĚĞƐ ĚŽŶŶĠĞƐ ƉĂƌ ƵŶ ŐƌĂƉŚŝƋƵĞ͕ ƵŶ ĚŝĂŐƌĂŵŵĞ ĞŶ ďąƚŽŶƐ͕ ƵŶ ĚŝĂŐƌĂŵŵĞ ĐŝƌĐƵůĂŝƌĞ͘
Figures géométriques élémentaires et distances 79
DĞƐƵƌĞƌ ƵŶ ĂŶŐůĞ͘
80
ZĞƉŽƌƚĞƌ ƵŶ ĂŶŐůĞ ĚŽŶŶĠ͘
58
ACTIVITÉS
Chapitre 3 Traitement de données et pourcentages
ĐƚŝǀŝƚĠ ϭ Graphiques de toutes sortes 1 dŽƵƐ ůĞƐ ĞŶĨĂŶƚƐ Ě͛ƵŶ ŐƌŽƵƉĞ ŽŶƚ ƌĠƉŽŶĚƵ ă ƵŶ ƐŽŶĚĂŐĞ ůĞƵƌ ĚĞŵĂŶĚĂŶƚ ƋƵĞů ĠƚĂŝƚ ůĞƵƌ ĂŶŝŵĂů ƉƌĠĨĠƌĠ͘ >ĞƵƌƐ ƌĠƉŽŶƐĞƐ ƐŽŶƚ ŝůůƵƐƚƌĠĞƐ ƉĂƌ ůĞ ĚŝĂŐƌĂŵŵĞ ĞŶ ďąƚŽŶƐ ƋƵĞ ǀŽŝĐŝ͘ Nombre d’enfants 9 8 7 6 5 4 3 2 1 0
Répar on des enfants selon le choix de leur animal préféré
3
Chat Dauphin Chien Hamster Cheval Tortue Autre
ĂͿ YƵĞů ĞƐƚ ů͛ĂŶŝŵĂů ůĞ ƉůƵƐ ƐŽƵǀĞŶƚ ĐŝƚĠ ͍ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ďͿ ŽŵďŝĞŶ Ě͛ĞŶĨĂŶƚƐ ŽŶƚ ĐŚŽŝƐŝ ůĂ ƚŽƌƚƵĞ ĐŽŵŵĞ ĂŶŝŵĂů ƉƌĠĨĠƌĠ ͍ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ĐͿ ŽŵďŝĞŶ Ě͛ĞŶĨĂŶƚƐ LJ ĂͲƚͲŝů ĚĂŶƐ ĐĞ ŐƌŽƵƉĞ ͍ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ĚͿ sƌĂŝ ŽƵ ĨĂƵdž ͍ /ů LJ Ă ĂƵƚĂŶƚ Ě͛ĞŶĨĂŶƚƐ ƋƵŝ ƉƌĠĨğƌĞŶƚ ůĞ ĐŚĂƚ ƋƵĞ ůĞ ĐŚĞǀĂů͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ >Ğ ĐŚŝĞŶ ĞƐƚ ů͛ĂŶŝŵĂů ƉƌĠĨĠƌĠ ĚĞ Ϯϱ й ĚĞƐ ĞŶĨĂŶƚƐ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ DŽŝŶƐ ĚĞ ϭϱ й ĚĞƐ ĞŶĨĂŶƚƐ ƉƌĠĨğƌĞŶƚ ůĞ ĚĂƵƉŚŝŶ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ 2 >Ğ ŐƌĂƉŚŝƋƵĞ ĐŝͲĚĞƐƐŽƵƐ ŵŽŶƚƌĞ ů͛ĠǀŽůƵƚŝŽŶ ĚƵ ŶŽŵďƌĞ Ě͛ĂĨĨŝůŝĠƐ ĚĂŶƐ ƵŶ ĐůƵď ĚĞ ĚĂŶƐĞ ŵŽĚĞƌŶĞ ĚĞƉƵŝƐ ƐĂ ĐƌĠĂƚŝŽŶ͕ ůĞ ϭer ũĂŶǀŝĞƌ ϮϬϬϵ͕ ũƵƐƋƵ͛ĂƵ ϭer ũĂŶǀŝĞƌ ϮϬϭϳ͘ ǀŽůƵƚŝŽŶ ĚƵ ŶŽŵďƌĞ Ě͛ĂĨĨŝůŝĠƐ Nombre d'affiliés 160 140 120 100 80 60 40 20 Date 0
01-01 01-01 01-01 01-01 01-01 01-01 01-01 01-01 01-01 2009 2010 2011 2012 2013 2014 2015 2016 2017
sƌĂŝ ŽƵ &ĂƵdž ͍ >Ğ ŶŽŵďƌĞ Ě͛ĂĨĨŝůŝĠƐ Ă ƚŽƵũŽƵƌƐ ĂƵŐŵĞŶƚĠ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ >͛ĂƵŐŵĞŶƚĂƚŝŽŶ ĚƵƌĂŶƚ ůĂ ϭre ĂŶŶĠĞ ĞƐƚ ĚĞ ϮϬ ŵĞŵďƌĞƐ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ >Ğ ŶŽŵďƌĞ Ě͛ĂĨĨŝůŝĠƐ Ă ƋƵŝŶƚƵƉůĠ ĚƵ ϭer ũĂŶǀŝĞƌ ϮϬϭϭ ĂƵ ϭer ũĂŶǀŝĞƌ ϮϬϭϰ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
>Ă ƉůƵƐ ŝŵƉŽƌƚĂŶƚĞ ĂƵŐŵĞŶƚĂƚŝŽŶ ĚƵ ŶŽŵďƌĞ Ě͛ĂĨĨŝůŝĠƐ Ă ĞƵ ůŝĞƵ ĚƵƌĂŶƚ ů͛ĂŶŶĠĞ ϮϬϭϭ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
59
ACTIVITÉS
Chapitre 3 Traitement de données et pourcentages
3 sŽŝĐŝ ůĂ ƌĠƉĂƌƚŝƚŝŽŶ͕ ƐĞůŽŶ ůĞƵƌ ąŐĞ͕ ĚΖƵŶ ŐƌŽƵƉĞ ĚĞ Ϯϰ ĞŶĨĂŶƚƐ ƉĂƌƚŝĐŝƉĂŶƚ ă ƵŶ ĂƚĞůŝĞƌ ŵĂƚŚĠŵĂƚŝƋƵĞ͘ ŐĞ ;ĂŶƐͿ EŽŵďƌĞ ĚΖĞŶĨĂŶƚƐ
ϭϬ 6
ϭϭ ϭϮ
ϭϮ ϰ
ϭϯ Ϯ
>Ğ ƉƌŽĨĞƐƐĞƵƌ Ă ĚĞŵĂŶĚĠ ĂƵdž ĠůğǀĞƐ ĚĞ ƌĞƉƌĠƐĞŶƚĞƌ ĐĞƚƚĞ ƐŝƚƵĂƚŝŽŶ ƉĂƌ ƵŶ ĚŝĂŐƌĂŵŵĞ ĐŝƌĐƵůĂŝƌĞ͘ sŽŝĐŝ ůĞƵƌƐ ŐƌĂƉŚŝƋƵĞƐ͘ Marc EŽĂŚ >ƵĐŝĞ :ƵůŝĞ
3
10 ans
11 ans
12 ans
13 ans
ZĞƚƌŽƵǀĞ ĐĞůƵŝ ƋƵŝ ĞƐƚ ĐŽƌƌĞĐƚ Ğƚ ũƵƐƚŝĨŝĞ ƚŽŶ ĐŚŽŝdž͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
4 sŽŝĐŝ ƵŶ ŐƌĂƉŚŝƋƵĞ ŝůůƵƐƚƌĂŶƚ ůĞƐ ƌĠƐƵůƚĂƚƐ Ě͛ƵŶĞ ĞŶƋƵġƚĞ ƐƵƌ ůĞƐ ůŽŝƐŝƌƐ ŵĞŶĠĞ ĚĂŶƐ ƵŶ ŐƌŽƵƉĞ ĚĞ ũĞƵŶĞƐ ĨƌĠƋƵĞŶƚĂŶƚ ƵŶĞ ƉůĂŝŶĞ ĚĞ ũĞƵdž͘ ^ĂĐŚĂŶƚ ƋƵĞ ĐŚĂƋƵĞ ũĞƵŶĞ Ă ĐŚŽŝƐŝ ƵŶ ƐĞƵů ůŽŝƐŝƌ͕ ĐŽŵƉůğƚĞ ůĞ ƚĂďůĞĂƵ͘
>ŽŝƐŝƌ
&ƌĂĐƚŝŽŶ ĚƵ ŶŽŵďƌĞ ĚĞ ũĞƵŶĞƐ
ŵƉůŝƚƵĚĞ ĚĞ ů͛ĂŶŐůĞ ĂƵ ĐĞŶƚƌĞ ĞŶ ĚĞŐƌĠƐ
EŽŵďƌĞ ĚĞ ũĞƵŶĞƐ
ZĠƉĂƌƚŝƚŝŽŶ ĚĞƐ ůŽŝƐŝƌƐ
:ĞƵdž ǀŝĚĠŽ ^ƉŽƌƚƐ DƵƐŝƋƵĞ Jeux vidéo
>ĞĐƚƵƌĞ
Ϯϰ
Sports Musique
ŝŶĠŵĂ TOTAUX
60
Lecture Cinéma
ACTIVITÉS
Chapitre 3 Traitement de données et pourcentages
ĐƚŝǀŝƚĠ Ϯ Calculs de pourcentages 1 ĂͿ sŽŝĐŝ ůĞƐ ƌĠƐƵůƚĂƚƐ ŽďƚĞŶƵƐ ƉĂƌ ĐŝŶƋ ĠůğǀĞƐ Ě͛ƵŶĞ ŵġŵĞ ĐůĂƐƐĞ ĂƵ ďŝůĂŶ ĚĞ ƐĐŝĞŶĐĞƐ͘ ŝĚĞͲůĞƐ ă ĐĂůĐƵůĞƌ ůĞƵƌ ƉŽƵƌĐĞŶƚĂŐĞ͘
EŽŵ
WŽŝŶƚƐ ƐƵƌ ϭϮϬ
dŽŵ
ϲϬ
ŶĂģůůĞ
ϵϬ
WĂƵů
ϭϬϴ
EĂĚŝĂ
ϵϲ
>LJŶĚĂ
ϭϬϮ
ĠŵĂƌĐŚĞ
WŽƵƌĐĞŶƚĂŐĞ
ďͿ ĂůĐƵůĞ ůĞ ƉŽƵƌĐĞŶƚĂŐĞ͕ ĂƌƌŽŶĚŝ ă ů͛ƵŶŝƚĠ ƉƌğƐ͕ ŽďƚĞŶƵ ĞŶ ĨƌĂŶĕĂŝƐ ƉĂƌ ĐŚĂƋƵĞ ĠůğǀĞ ă ůĂ ĨŝŶ ĚĞ ůĂ ƉĠƌŝŽĚĞ͘
EŽŵ
/ŶƚĞƌƌŽ ϭ /ŶƚĞƌƌŽ Ϯ /ŶƚĞƌƌŽ ϯ /ŶƚĞƌƌŽ ϰ
>ŝƐĂ
ϵͬϭϬ
ϮϬͬϯϬ
ϭϮͬϮϬ
ϮϭͬϰϬ
Pierre
ϴͬϭϬ
ϮϭͬϯϬ
ďƐ͘
ϯϮͬϰϬ
^ŽƉŚŝĞ
ďƐ͘
ϭϲͬϯϬ
ďƐ͘
ϮϱͬϰϬ
dŽƚĂů
WŽƵƌĐĞŶƚĂŐĞ
p.41 A2a
2 ĂͿ ĂůĐƵůĞ ŵĞŶƚĂůĞŵĞŶƚ͘ ϭϬ й ĚĞ ϮϬϬ с ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
ϱ й ĚĞ ϴϬϬϬ с ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
ϱϬ й ĚĞ Ϯϰ с ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
ϮϬ й ĚĞ ϯϮϱϬ с ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
Ϯϱ й ĚĞ ϴϮϰ с ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
ϳϱ й ĚĞ ϰϲϬ с ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
ďͿ EŽƚĞ ĚĞ ƉůƵƐŝĞƵƌƐ ŵĂŶŝğƌĞƐ ůĞ ĐĂůĐƵů ƋƵŝ ƚĞ ƉĞƌŵĞƚ Ě͛ĞĨĨĞĐƚƵĞƌ ůĞ ƉŽƵƌĐĞŶƚĂŐĞ ĚĞŵĂŶĚĠ ă ůĂ ĐĂůĐƵůĂƚƌŝĐĞ͘ ϯϰ й ĚĞ ϰϳϬϬ с ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ϯϰ й ĚĞ ϰϳϬϬ с ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ϯϰ й ĚĞ ϰϳϬϬ с ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ϳ й ĚĞ ϮϭϯϬ с ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ϳ й ĚĞ ϮϭϯϬ с ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ p.41 A2b
ϳ й ĚĞ ϮϭϯϬ с ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
61
3
ACTIVITÉS
Chapitre 3 Traitement de données et pourcentages
3 ĂͿ WŽƵƌ ůĂ ĨġƚĞ ĂŶŶƵĞůůĞ ĚĞ ů͛ĠĐŽůĞ͕ ƵŶ ĐŚĂƉŝƚĞĂƵ Ă ĠƚĠ ĚƌĞƐƐĠ ĚĂŶƐ ůĂ ĐŽƵƌ ĚĞ ƌĠĐƌĠĂƚŝŽŶ͘ /ů Ă ĠƚĠ ĂŵĠŶĂŐĠ ĂĨŝŶ ĚĞ ƌĞĐĞǀŽŝƌ ĂƵ ŵĂdžŝŵƵŵ ϯϮϬ ƐƉĞĐƚĂƚĞƵƌƐ͘ ^ĂĐŚĂŶƚ ƋƵ͛ŝů ĠƚĂŝƚ ƌĞŵƉůŝ ă ϴϬ й ĚĞ ƐĂ ĐĂƉĂĐŝƚĠ͕ ĚĠƚĞƌŵŝŶĞ ůĞ ŶŽŵďƌĞ ĚĞ ƉůĂĐĞƐ ŝŶŽĐĐƵƉĠĞƐ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
ďͿ ^Ƶƌ ůĞƐ ϲϱϳ ĠůğǀĞƐ ŝŶƐĐƌŝƚƐ ĚĂŶƐ ƵŶĞ ĠĐŽůĞ͕ ϯϮ ŶĞ ƐĞ ƐŽŶƚ ƉůƵƐ ƌĠŝŶƐĐƌŝƚƐ ů͛ĂŶŶĠĞ ƐĐŽůĂŝƌĞ ƐƵŝǀĂŶƚĞ͘
3
^ĂŶƐ ĐĂůĐƵůĂƚƌŝĐĞ͕ ĚĠƚĞƌŵŝŶĞ Ɛŝ ůĞ ƉŽƵƌĐĞŶƚĂŐĞ Ě͛ĠůğǀĞƐ ŶŽŶ ƌĠŝŶƐĐƌŝƚƐ ĞƐƚ ŝŶĨĠƌŝĞƵƌ ŽƵ ƐƵƉĠƌŝĞƵƌ ă ϱ й͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
hƚŝůŝƐĞ ƚĂ ĐĂůĐƵůĂƚƌŝĐĞ ƉŽƵƌ ĚĠƚĞƌŵŝŶĞƌ ůĞ ƉŽƵƌĐĞŶƚĂŐĞ ĞdžĂĐƚ Ě͛ĠůğǀĞƐ ŶŽŶ ƌĠŝŶƐĐƌŝƚƐ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
ĐͿ >ŽƌƐ ĚĞ ƐŽŶ ǀŽLJĂŐĞ ĂƵ WĠƌŽƵ͕ ŚĂƌůĞƐ Ă ƉƌŝƐ ĚĞƐ ƉŚŽƚŽƐ ĂǀĞĐ ƐŽŶ ĂƉƉĂƌĞŝů ŶƵŵĠƌŝƋƵĞ ĚŽŶƚ ůĂ ĐĂƌƚĞ ŵĠŵŽŝƌĞ ƉĞƌŵĞƚ ĚĞ ƐƚŽĐŬĞƌ ϯϱϬ ƉƌŝƐĞƐ ĚĞ ǀƵĞ͘ ůĂ ĨŝŶ ĚĞ ƐĞƐ ǀĂĐĂŶĐĞƐ͕ ů͛ĂƉƉĂƌĞŝů ůƵŝ ŝŶĚŝƋƵĞ ƋƵĞ ϯϬ й ĚĞ ůĂ ŵĠŵŽŝƌĞ Ŷ͛ŽŶƚ ƉĂƐ ĠƚĠ ƵƚŝůŝƐĠƐ͘ /ů ĨĂŝƚ ĚĠǀĞůŽƉƉĞƌ ϰϬ й ĚĞƐ ƉŚŽƚŽƐ ƌĠĂůŝƐĠĞƐ ĂĨŝŶ ĚĞ ĐŽŶƐƚŝƚƵĞƌ ƵŶ ĂůďƵŵ ĚĞ ǀĂĐĂŶĐĞƐ͘ ŽŵďŝĞŶ ĚĞ ƉŚŽƚŽƐ ŚĂƌůĞƐ ǀĂͲƚͲŝů ĐŽůůĞƌ ĚĂŶƐ ƐŽŶ ĂůďƵŵ ͍ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
ĚͿ DĂƌŝĞ Ğƚ ƌŶĂƵĚ ƉŽƐƐğĚĞŶƚ ƚŽƵƐ ĚĞƵdž ƵŶ ƐŵĂƌƚƉŚŽŶĞ͕ ĚĞ ŵĂƌƋƵĞƐ ĚŝĨĨĠƌĞŶƚĞƐ͕ ƋƵΖŝůƐ ŽŶƚ ƌĞĐŚĂƌŐĠ ĞŶ ĚĠďƵƚ ĚĞ ǁĞĞŬͲĞŶĚ͘ >ƵŶĚŝ ŵĂƚŝŶ͕ ĂǀĂŶƚ ĚĞ ƉĂƌƚŝƌ ĞŶ ĞdžĐƵƌƐŝŽŶ͕ ŝůƐ ƌĞŐĂƌĚĞŶƚ ůĞƐ ƚĠŵŽŝŶƐ ĚĞ ĐŚĂƌŐĞ ĚĞ ůĞƵƌ ƚĠůĠƉŚŽŶĞ ŵŽďŝůĞ͘ ^ŵĂƌƚƉŚŽŶĞ ĚĞ DĂƌŝĞ ͗ ^ŵĂƌƚƉŚŽŶĞ Ě͛ ƌŶĂƵĚ ͗ YƵĞů ƉŽƵƌĐĞŶƚĂŐĞ ĚƵ ĐŚĂƌŐĞŵĞŶƚ ĚĞ ůĂ ďĂƚƚĞƌŝĞ ƌĞƐƚĞͲƚͲŝů ă ĐŚĂĐƵŶ Ě͛ĞƵdž ͍ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
^ĂĐŚĂŶƚ ƋƵĞ ů͛ĂƵƚŽŶŽŵŝĞ ŵĂdžŝŵĂůĞ ĞŶ ĐŽŵŵƵŶŝĐĂƚŝŽŶ ĚĞ ůĂ ďĂƚƚĞƌŝĞ ĚĞ ĐŚĂƋƵĞ ŵŽďŝůĞ ĞƐƚ ĚĞ ϴ ŚĞƵƌĞƐ͕ ĚĠƚĞƌŵŝŶĞ ůĞ ƚĞŵƉƐ ƌĞƐƚĂŶƚ ĚĞ ĐŽŵŵƵŶŝĐĂƚŝŽŶ ă DĂƌŝĞ Ğƚ ă ƌŶĂƵĚ͘ džƉƌŝŵĞ ƚĞƐ ƌĠƉŽŶƐĞƐ ĞŶ ŚĞƵƌĞƐ Ğƚ ĞŶ ŵŝŶƵƚĞƐ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
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ACTIVITÉS
Chapitre 3 Traitement de données et pourcentages
ĞͿ >Ğ ƚĂďůĞĂƵ ĐŝͲĚĞƐƐŽƵƐ ĚŽŶŶĞ ůĂ ƌĠƉĂƌƚŝƚŝŽŶ ĚĞƐ ϳϮϱ ĠůğǀĞƐ Ě͛ƵŶĞ ĠĐŽůĞ Ě͛ĞŶƐĞŝŐŶĞŵĞŶƚ ŐĠŶĠƌĂů ĞŶ ĨŽŶĐƚŝŽŶ ĚĞ ůĞƵƌ ĂŶŶĠĞ Ě͛ĠƚƵĚĞ͘ ĂůĐƵůĞ͕ ă ů͛ƵŶŝƚĠ ƉƌğƐ͕ ůĞƐ ƉŽƵƌĐĞŶƚĂŐĞƐ Ě͛ĠůğǀĞƐ ĚĂŶƐ ĐŚĂƋƵĞ ĂŶŶĠĞ Ě͛ĠƚƵĚĞ͘ ŶŶĠĞ
EŽŵďƌĞ Ě͛ĠůğǀĞƐ
ϭre
ϭϴϭ
Ϯe
ϭϲϳ
ϯe
ϭϮϬ
ϰe
ϭϬϵ
5e
ϴϵ
6e
ϱϵ
WŽƵƌĐĞŶƚĂŐĞ
3
TOTAUX 4 ĂͿ ŽŵƉůğƚĞ ůĞƐ ĂĨĨŝĐŚĞƐ ƐƵŝǀĂŶƚĞƐ͘ sĠƌŝĨŝĞ ƚĞƐ ƌĠƐƵůƚĂƚƐ ă ůĂ ĐĂůĐƵůĂƚƌŝĐĞ͘
p.41 A2c
Wƌŝdž ,ds
ϱϬϬ €
Wƌŝdž ,ds
ϯϮϬ €
ds Ϯϭ й
͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
ds ϲ й
͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
Wƌŝdž ds
͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
Wƌŝdž ds
͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
WŽƵƌ ĐŚĂƋƵĞ ĂĨĨŝĐŚĞ͕ ƚƌŽƵǀĞ ƵŶ ĐĂůĐƵů ƵŶŝƋƵĞ ƋƵŝ ƉĞƌŵĞƚ ĚĞ ĚĠƚĞƌŵŝŶĞƌ ůĞ Ɖƌŝdž ds ă ƉĂƌƚŝƌ ĚƵ Ɖƌŝdž ,ds ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
ďͿ sĠƌŝĨŝĞ ĚĞ ĚĞƵdž ŵĂŶŝğƌĞƐ ĚŝĨĨĠƌĞŶƚĞƐ ůΖĞdžĂĐƚŝƚƵĚĞ ĚĞƐ ĠƚŝƋƵĞƚƚĞƐ ĐŝͲĚĞƐƐŽƵƐ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
ϱϲϬ € ZŝƐƚŽƵƌŶĞ ϭϬ й ϰϱϬ €
͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
p.41 A2d
ϵϰϬ € ZŝƐƚŽƵƌŶĞ ϱ й ϴϵϯ €
͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
63
ACTIVITÉS
Chapitre 3 Traitement de données et pourcentages
ĐͿ Ŷ ǀƵĞ ĚĞƐ ƉƌŽĐŚĂŝŶĞƐ ĐůĂƐƐĞƐ ĚĞ ŶĞŝŐĞ͕ ƵŶĞ ĠĐŽůĞ Ă ĚĠĐŝĚĠ ĚĞ ƌĞŶŽƵǀĞůĞƌ ƐŽŶ ƐƚŽĐŬ ĚĞ ŵĂƚĠƌŝĞů ĚĞ ƐŬŝ͘ ůůĞ ĂĐŚğƚĞ ůĞƐ ĂƌƚŝĐůĞƐ ƐƵŝǀĂŶƚƐ ͗ ϭϬ ƌĂƋƵĞƚƚĞƐ ă ŶĞŝŐĞ ă ϵϱ Φ ƉŝğĐĞ͕ ϭϱ ƉĂŝƌĞƐ ĚĞ ƐŬŝ ă ϯϳϱ Φ ůĂ ƉĂŝƌĞ Ğƚ ϭϱ ƉĂŝƌĞƐ ĚĞ ďąƚŽŶƐ ă Ϯϱ Φ ůĂ ƉĂŝƌĞ͘ ^ĂĐŚĂŶƚ ƋƵĞ ůĂ ds ĞƐƚ ĚĞ Ϯϭ й͕ ĚĠƚĞƌŵŝŶĞ͙ ůĞ Ɖƌŝdž ƚŽƚĂů ,ds ĚĞ ĐĞƐ ĂĐŚĂƚƐ ͗ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ůĞ Ɖƌŝdž ds ĞŶ ƵƚŝůŝƐĂŶƚ ƵŶ ƐĞƵů ĐĂůĐƵů ͗ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ĚͿ DĂĚĂŵĞ EŝĐĂŝƐĞ Ă ƵŶ ƐĂůĂŝƌĞ ďƌƵƚ ŵĞŶƐƵĞů ĚĞ ϮϰϳϬ Φ͘ ^ŽŶ ĚŝƌĞĐƚĞƵƌ ůƵŝ ĂŶŶŽŶĐĞ ƋƵ͛ă ƉĂƌƚŝƌ ĚƵ ŵŽŝƐ ƉƌŽĐŚĂŝŶ͕ ĞůůĞ ĐŚĂŶŐĞƌĂ ĚĞ ĨŽŶĐƚŝŽŶ Ğƚ ĂƵƌĂ ƵŶĞ ĂƵŐŵĞŶƚĂƚŝŽŶ ĚĞ ϴ й͘ ůůĞ ƉƌĞŶĚ ĂůŽƌƐ ƐĂ ĐĂůĐƵůĂƚƌŝĐĞ Ğƚ ĚĠƚĞƌŵŝŶĞ ƐŽŶ ŶŽƵǀĞĂƵ ƐĂůĂŝƌĞ ĞŶ ĞĨĨĞĐƚƵĂŶƚ ƵŶ ƐĞƵů ĐĂůĐƵů͘ dƌŽƵǀĞ ĐĞ ĐĂůĐƵů͘
3
͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
ĞͿ WĞŶĚĂŶƚ ůĞƐ ƐŽůĚĞƐ͕ DĂƌĐ Ă ƚƌŽƵǀĠ ĚĞƐ ďĂƐŬĞƚƐ ĂĨĨŝĐŚĠƐ ă ϱϰ Φ ĂƵ ůŝĞƵ ĚĞ ϵϬ Φ͘ ĂůĐƵůĞ ůĞ ƉŽƵƌĐĞŶƚĂŐĞ ĚĞ ůĂ ƌĠĚƵĐƚŝŽŶ ƉĂƌ ƌĂƉƉŽƌƚ ĂƵ Ɖƌŝdž ŝŶŝƚŝĂů͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
CE
1D
20
ĨͿ hŶ ŵĂŐĂƐŝŶ ƉƌŽƉŽƐĞ ůĞƐ ƌĠĚƵĐƚŝŽŶƐ ƐƵŝǀĂŶƚĞƐ ͗ ʹϮϬ й ă ůΖĂĐŚĂƚ ĚĞ Ϯ ĂƌƚŝĐůĞƐ͕ ʹϯϬ й ă ůΖĂĐŚĂƚ ĚĞ ϯ ĂƌƚŝĐůĞƐ͕ ʹϰϬ й ă ůΖĂĐŚĂƚ ĚĞ ϰ ĂƌƚŝĐůĞƐ ŽƵ ƉůƵƐ͘
17
DĂƌŝŶĞ ĂĐŚğƚĞ ƵŶĞ ƉĂŝƌĞ ĚĞ ĐŚĂƵƐƐƵƌĞƐ ă ϰϬ Φ Ğƚ ĚĞƵdž ĨŽƵůĂƌĚƐ ă ϭϬ Φ ƉŝğĐĞ͘ KĐĠĂŶĞ ĂĐŚğƚĞ ƵŶĞ ƉĂŝƌĞ ĚĞ ĐŚĂƵƐƐƵƌĞƐ ă ϰϬ Φ Ğƚ ƚƌŽŝƐ ĨŽƵůĂƌĚƐ ă ϭϬ Φ ƉŝğĐĞ͘ JUSTIFIE ƉŽƵƌƋƵŽŝ KĐĠĂŶĞ Ă ĨĂŝƚ ƵŶĞ ŵĞŝůůĞƵƌĞ ĂĨĨĂŝƌĞ ƋƵĞ DĂƌŝŶĞ͘ ÉCRIS ƚŽƵƐ ƚĞƐ ĐĂůĐƵůƐ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
ĐƚŝǀŝƚĠ ϯ Notion de repérage 1 WŽƵƌ ůĞ ĐŽƵƌƐ ĚĞ ƐĐŝĞŶĐĞƐ͕ DĂƚŚŝĞƵ Ă ƌĞůĞǀĠ ůĞƐ ƚĞŵƉĠƌĂƚƵƌĞƐ ĞdžƚĠƌŝĞƵƌĞƐ ă ƉůƵƐŝĞƵƌƐ ŵŽŵĞŶƚƐ Ě͛ƵŶĞ ũŽƵƌŶĠĞ͘ /ů Ă ŶŽƚĠ ůĞƐ ƌĠƐƵůƚĂƚƐ ĚĂŶƐ ůĞ ƚĂďůĞĂƵ ĐŝͲĚĞƐƐŽƵƐ͘ ϭ Ś ϭΣ
ϯ Ś ϯΣ
ϴ Ś ϱΣ
ϭϮ Ś ϵΣ
ϭϱ Ś ϭϬΣ
ϮϬ Ś ϲΣ
Ϯϰ Ś ϮΣ
Ŷ ĐůĂƐƐĞ͕ ůĞ ƉƌŽĨĞƐƐĞƵƌ ŝŶǀŝƚĞ ůĞƐ ĠůğǀĞƐ ă ƉŽƌƚĞƌ ĐĞƐ ĚŽŶŶĠĞƐ ƐƵƌ ƵŶ ŐƌĂƉŚŝƋƵĞ͘ WŽƵƌ ĐĞůĂ͕ ŝů ůĞƵƌ ĚĞŵĂŶĚĞ ĚĞ ƚƌĂĐĞƌ ĚĞƵdž ĚƌŽŝƚĞƐ ƉĞƌƉĞŶĚŝĐƵůĂŝƌĞƐ ͗ ƵŶĞ ĚƌŽŝƚĞ ŚŽƌŝnjŽŶƚĂůĞ ƐƵƌ ůĂƋƵĞůůĞ ƐŽŶƚ ŶŽƚĠĞƐ ůĞƐ ŚĞƵƌĞƐ ;ϱ ŵŵ ƉŽƵƌ ϭ ŚͿ Ğƚ ƵŶĞ ĚƌŽŝƚĞ ǀĞƌƚŝĐĂůĞ ƐƵƌ ůĂƋƵĞůůĞ ƐŽŶƚ ƌĞƉŽƌƚĠĞƐ ůĞƐ ƚĞŵƉĠƌĂƚƵƌĞƐ ;ϭϬ ŵŵ ƉŽƵƌ ϭΣ Ϳ͘ 64
ACTIVITÉS
Chapitre 3 Traitement de données et pourcentages ǀŽůƵƟ ŽŶ ĚĞ ůĂ ƚĞŵƉĠƌĂƚƵƌĞ ƉĞŶĚĂŶƚ ƵŶĞ ũŽƵƌŶĠĞ Température (°C)
3
1 Temps (h) 0
1
ĂͿ ĐŚğǀĞ ůĂ ŐƌĂĚƵĂƚŝŽŶ ĚĞƐ ĚĞƵdž ĂdžĞƐ͘ ďͿ ^ĂĐŚĂŶƚ ƋƵĞ ůĞ ƉŽŝŶƚ ƌĞƉƌĠƐĞŶƚĠ ƐŝŐŶŝĨŝĞ ƋƵ͛ă ϴ Ś ĚƵ ŵĂƚŝŶ͕ ůĂ ƚĞŵƉĠƌĂƚƵƌĞ ĠƚĂŝƚ ĚĞ ϱΣ ͕ ƌĞƉğƌĞ ƐƵƌ ůĞ ƋƵĂĚƌŝůůĂŐĞ ĐŝͲĚĞƐƐƵƐ ůĞƐ Ɛŝdž ĂƵƚƌĞƐ ƉŽŝŶƚƐ ƌĞƉƌĠƐĞŶƚĂŶƚ ůĂ ƚĞŵƉĠƌĂƚƵƌĞ ŽďƐĞƌǀĠĞ ĂƵdž ĚŝĨĨĠƌĞŶƚĞƐ ŚĞƵƌĞƐ͘ ĐͿ ůĂ ůĂƚƚĞ͕ ƌĞůŝĞ ůĞƐ ƐĞƉƚ ƉŽŝŶƚƐ ƉŽƵƌ ŵŽŶƚƌĞƌ ů͛ĠǀŽůƵƚŝŽŶ ĚĞ ůĂ ƚĞŵƉĠƌĂƚƵƌĞ ĚƵƌĂŶƚ ůĂ ũŽƵƌŶĠĞ͘ ĚͿ hƚŝůŝƐĞ ůĞ ŐƌĂƉŚŝƋƵĞ ƉŽƵƌ ĞƐƚŝŵĞƌ ůĞƐ ƚĞŵƉĠƌĂƚƵƌĞƐ ă Ϯ Ś͕ ϭϬ Ś Ğƚ ϮϮ Ś͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
2 ĂͿ ĠƚĞƌŵŝŶĞ ůĞƐ ĐŽŽƌĚŽŶŶĠĞƐ ĚĞƐ ƉŽŝŶƚƐ ƌĞƉƌĠƐĞŶƚĠƐ ĚĂŶƐ ůĞ ƌĞƉğƌĞ ĐĂƌƚĠƐŝĞŶ ĐŝͲĐŽŶƚƌĞ͘ A ; ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ; ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ Ϳ
G ; ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ; ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ Ϳ
, ; ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ; ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ Ϳ
I ; ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ; ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ Ϳ
J ; ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ; ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ Ϳ
O ; ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ; ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ Ϳ
y
^Ƶƌ ůĞ ŵġŵĞ ƌĞƉğƌĞ ĐĂƌƚĠƐŝĞŶ͕ ƉůĂĐĞ ůĞƐ ƉŽŝŶƚƐ ĚŽŶƚ ǀŽŝĐŝ ůĞƐ ĐŽŽƌĚŽŶŶĠĞƐ ͗ ;Ϯ ͖ ϵͿപ ;Ϯ ͖ ϭϱͿപ ;ϯ ͖ ϭϴͿപ ;ϰ ͖ ϭϱͿപ& ;ϰ ͖ ϵͿ ZĞůŝĞ͕ ĚĂŶƐ ů͛ŽƌĚƌĞ͕ ůĞƐ ƉŽŝŶƚƐ K͕ ͕ ͕ ͕ ͕ ͕ &͕ '͕ ,͕ /͕ : Ğƚ K͘ p.42 B
A
G
YƵ͛ŽďƚŝĞŶƐͲƚƵ ͍ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ J
1 0
O
I
H 1
x
65
ACTIVITÉS
Chapitre 3 Traitement de données et pourcentages
3 Ğ ϴ Ś ă ϵ Ś ĚƵ ŵĂƚŝŶ͕ ůĞ ƉĂƐƐĂŐĞƌ Ě͛ƵŶ ŵŽďŝů ŚŽŵĞ ƌŽƵůĂŶƚ ĞŶ ŵŽŶƚĂŐŶĞ Ă ŶŽƚĠ ƚŽƵƚĞƐ ůĞƐ ϭϬ ŵŝŶƵƚĞƐ ůĞƐ ƚĞŵƉĠƌĂƚƵƌĞƐ ĞdžƚĠƌŝĞƵƌĞƐ ŝŶĚŝƋƵĠĞƐ ƐƵƌ ůĞ ƚŚĞƌŵŽŵğƚƌĞ ĚĞ ƐŽŶ ǀĠŚŝĐƵůĞ͘ dĞŵƉƐ ;ŵŝŶͿ dĞŵƉĠƌĂƚƵƌĞ ;Σ Ϳ
Ϭ ϭ
ϭϬ Ϯ͕ϱ
ϮϬ ϯ͕ϯ
ϯϬ ϰ
ϰϬ ϰ͕Ϯ
ϱϬ ϯ͕ϴ
ϲϬ Ϯ͕ϱ
ĂŶƐ ůĞ ƌĞƉğƌĞ ĐĂƌƚĠƐŝĞŶ ĐŝͲĚĞƐƐŽƵƐ͕ ƉůĂĐĞ ůĞƐ ƐĞƉƚ ƉŽŝŶƚƐ ƌĞƉƌĠƐĞŶƚĂŶƚ ůĞƐ ŝŶĨŽƌŵĂƚŝŽŶƐ ĚƵ ƚĂďůĞĂƵ͘ ŶƐƵŝƚĞ͕ ƌĞůŝĞͲůĞƐ ĂĨŝŶ ĚĞ ŵŽŶƚƌĞƌ ů͛ĠǀŽůƵƚŝŽŶ ĚĞ ůĂ ƚĞŵƉĠƌĂƚƵƌĞ͘
3
ǀŽůƵƚŝŽŶ ĚĞ ůĂ ƚĞŵƉĠƌĂƚƵƌĞ ĞŶƚƌĞ ϴ Ś Ğƚ ϵ Ś y
1
0
4
x
10
ŽŵƉůğƚĞ ůĞƐ ĐŽƵƉůĞƐ ƉŽƵƌ ƋƵ͛ŝůƐ ƌĠƉŽŶĚĞŶƚ ă ůĂ ĐŽŶĚŝƟ ŽŶ ĠŶŽŶĐĠĞ͘ ĂͿ >͛ĂďƐĐŝƐƐĞ ǀĂƵƚ ϯ ĚĞ ƉůƵƐ ƋƵĞ ů͛ŽƌĚŽŶŶĠĞ͘ ; ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͖ ϰͿ
;ϱ ͖ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ Ϳ
;ϯ ͖ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ Ϳ
;ϰ͕ϱ ͖ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ Ϳ
; ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͖ ϲͿ
; ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͖ ϰ͕ϯͿ
;ϱ͕ϰ ͖ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ Ϳ
; ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͖ ϳ͕ϮͿ
;Ϭ ͖ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ Ϳ
;Ϯ͕ϲ ͖ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ Ϳ
; ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͖ ϱ͕ϴͿ
; ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͖ ϯ͕ϲͿ
;ϱ͕ϭ ͖ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ Ϳ
ďͿ >͛ŽƌĚŽŶŶĠĞ ǀĂƵƚ Ϯ͕ϱ ĚĞ ŵŽŝŶƐ ƋƵĞ ů͛ĂďƐĐŝƐƐĞ͘ ;ϳ ͖ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ Ϳ
; ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͖ Ϯ͕ϱͿ
;ϯ͕ϲ ͖ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ Ϳ
ĐͿ >͛ĂďƐĐŝƐƐĞ ǀĂƵƚ ůĞ Ɵ ĞƌƐ ĚĞ ů͛ŽƌĚŽŶŶĠĞ͘ ; ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͖ ϲͿ
;ϯ ͖ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ Ϳ
;Ϯ͕ϭ ͖ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ Ϳ
ĚͿ >͛ŽƌĚŽŶŶĠĞ ǀĂƵƚ ůĞ ĚŽƵďůĞ ĚĞ ů͛ĂďƐĐŝƐƐĞ͘ ;ϱ ͖ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ Ϳ
; ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͖ ϴͿ
; ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͖ ϵͿ
ĞͿ >Ă ƐŽŵŵĞ ĚĞƐ ĐŽŽƌĚŽŶŶĠĞƐ ǀĂƵƚ ϭϮ͘ ;ϳ ͖ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ Ϳ
66
; ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͖ ϲͿ
;ϳ͕ϱ ͖ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ Ϳ
Chapitre 3 Traitement de données et pourcentages
ACTIVITÉS
ĐƚŝǀŝƚĠ ϰ Utilisation du rapporteur ĂŶƐ ĐŚĂĐƵŶ ĚĞƐ ĐĂƐ ƐƵŝǀĂŶƚƐ͕ ƚƵ ƵƚŝůŝƐĞƌĂƐ ƚŽŶ ƌĂƉƉŽƌƚĞƵƌ ƉŽƵƌ ƌĠĂůŝƐĞƌ ůĞƐ ĐŽŶƐƚƌƵĐƚŝŽŶƐ ĚĞŵĂŶĚĠĞƐ͘ 1 ZĞƉŽƌƚĞ ĚĂŶƐ ůĞ ĐĞƌĐůĞ ůĞƐ ƚƌŽŝƐ ƐĞĐƚĞƵƌƐ ĚŽŶƚ ůĞƐ ĂŵƉůŝƚƵĚĞƐ ƐŽŶƚ ĚŽŶŶĠĞƐ ĚĂŶƐ ůĞ ƚĂďůĞĂƵ͘ ŶƐƵŝƚĞ͕ ŵĞƐƵƌĞ ůΖĂŵƉůŝƚƵĚĞ ĚƵ ĚĞƌŶŝĞƌ ƐĞĐƚĞƵƌ͕ ŶŽƚĞͲůĂ ĚĂŶƐ ůĞ ƚĂďůĞĂƵ Ğƚ ǀĠƌŝĨŝĞ ƋƵĞ ůĂ ƐŽŵŵĞ ĚĞƐ ĂŵƉůŝƚƵĚĞƐ ǀĂƵƚ ϯϲϬΣ͘
^ĞĐƚĞƵƌ
ŵƉůŝƚƵĚĞ
ϭ
ϴϱΣ
Ϯ
ϳϬΣ
ϯ
ϭϰϴΣ
3
ϰ Total
ϯϲϬΣ
2 ZĞƉŽƌƚĞ ĚĂŶƐ ůĞ ĐĞƌĐůĞ͕ ă ƉĂƌƚŝƌ ĚƵ ƉŽŝŶƚ ͕ ůĞƐ ƋƵĂƚƌĞ ƐĞĐƚĞƵƌƐ ĚŽŶƚ ůĞƐ ĂŵƉůŝƚƵĚĞƐ ƐŽŶƚ ĚŽŶŶĠĞƐ ĚĂŶƐ ůĞ ƚĂďůĞĂƵ͘ ZĞƐƉĞĐƚĞ ďŝĞŶ ůΖŽƌĚƌĞ ĚĞ ĐĞƵdžͲĐŝ Ğƚ ĂƐƐƵƌĞͲƚŽŝ ƋƵΖŝůƐ ƌĞŵƉůŝƐƐĞŶƚ ĞdžĂĐƚĞŵĞŶƚ ůĞ ĐĞƌĐůĞ͘
^ĞĐƚĞƵƌ
ŵƉůŝƚƵĚĞ
ϭ
ϮϭϬΣ
Ϯ
ϮϮΣ
ϯ
ϳϴΣ
ϰ
ϱϬΣ
Total
ϯϲϬΣ
A
p.45 D
67
ACTIVITÉS
Chapitre 3 Traitement de données et pourcentages
ĐƚŝǀŝƚĠ ϱ Représentation de données numériques 1 sŽŝĐŝ ůĂ ƌĠƉĂƌƚŝƚŝŽŶ ĚĞƐ ĚĠƉĞŶƐĞƐ ĂŶŶƵĞůůĞƐ ĐŽŶƐĂĐƌĠĞƐ ĂƵdž ůŽŝƐŝƌƐ ĚĞ ůĂ ĨĂŵŝůůĞ ƵƉŽŶƚ͘ ^ƉĞĐƚĂĐůĞƐ ͗ ϮϬ й sĂĐĂŶĐĞƐ ͗ ϯϱ й
ƌƚƐ ͗ ϱ й ^ƉŽƌƚƐ ͗ Ϯϱ й
>ĞĐƚƵƌĞƐ ͗ ϭϱ й
ŽŵƉůğƚĞ ůĞ ƚĂďůĞĂƵ Ğƚ ƌĞƉƌĠƐĞŶƚĞ ĐĞƐ ĚŽŶŶĠĞƐ ă ů͛ĂŝĚĞ Ě͛ƵŶ ĚŝĂŐƌĂŵŵĞ ĐŝƌĐƵůĂŝƌĞ͘
3
ĠƉĞŶƐĞƐ WŽƵƌĐĞŶƚĂŐĞ ŵƉůŝƚƵĚĞ
ZĠƉĂƌƚŝƚŝŽŶ ĚĞƐ ĚĠƉĞŶƐĞƐ
^ƉĞĐƚĂĐůĞƐ Arts >ĞĐƚƵƌĞƐ Vacances ^ƉŽƌƚƐ p.44 C3
dŽƚĂƵdž
ϭϬϬ й
ϯϲϬΣ
2 >Ğ ƚĂďůĞĂƵ ĐŝͲĚĞƐƐŽƵƐ ĐŽŶƚŝĞŶƚ ůĂ ƌĠƉĂƌƚŝƚŝŽŶ ĚĞƐ ϭϲϬ ůŝĐĞŶĐŝĠƐ ĚĞƐ ĐůƵďƐ ƐƉŽƌƚŝĨƐ Ě͛ƵŶ ǀŝůůĂŐĞ ǁĂůůŽŶ ĞŶ ĨŽŶĐƚŝŽŶ ĚĞ ůĞƵƌ ĚŝƐĐŝƉůŝŶĞ ƐƉŽƌƚŝǀĞ͘ hƚŝůŝƐĞ ƚĂ ĐĂůĐƵůĂƚƌŝĐĞ ƉŽƵƌ ĐŽŵƉůĠƚĞƌ ůĞ ƚĂďůĞĂƵ͘ ŶƐƵŝƚĞ͕ ŝůůƵƐƚƌĞ ĐĞƚƚĞ ƌĠƉĂƌƚŝƚŝŽŶ ƉĂƌ ƵŶ ĚŝĂŐƌĂŵŵĞ ĐŝƌĐƵůĂŝƌĞ͘
^ƉŽƌƚ ĂƐŬĞƚ
ϭϳ
&ŽŽƚďĂůů
66
Tennis
ϮϬ
sŽůůĞLJ
ϭϵ
Natation
ϯϴ
dŽƚĂƵdž
68
EŽŵďƌĞ Ě͛ĂĨĨŝůŝĠƐ
ŵƉůŝƚƵĚĞ % ĞŐƌĠƐ
ĞŐƌĠƐ ĂƌƌŽŶĚŝƐ
ZĠƉĂƌƚŝƚŝŽŶ ĚĞƐ ƐƉŽƌƚƐ
ACTIVITÉS
Chapitre 3 Traitement de données et pourcentages
3
ZĠƉĂƌƟ Ɵ ŽŶ ĚĞƐ ůŝǀƌĞƐ ĚĞ ůĂ ďŝďůŝŽƚŚğƋƵĞ
>Ă ďŝďůŝŽƚŚĠĐĂŝƌĞ Ě͛ƵŶĞ ĠĐŽůĞ Ă ƌĞĐĞŶƐĠ ůĞ ŶŽŵďƌĞ ĚĞ ůŝǀƌĞƐ ĚĞ ůĂ ďŝďůŝŽƚŚğƋƵĞ ƉĂƌ ĐĂƚĠŐŽƌŝĞƐ͘
Nombre de livres
ŽŶƐƚƌƵŝƐ ƵŶ ĚŝĂŐƌĂŵŵĞ ĞŶ ďąƚŽŶƐ ŝůůƵƐƚƌĂŶƚ ĐĞƚƚĞ ƐŝƚƵĂƚŝŽŶ͘ ^ƉŽƌƚƐ
EĂƚƵƌĞ
ϮϲϬ ϮϯϬ ϭϱϬ
WŽĠƐŝĞ
ZĞǀƵĞ
BD
ZŽŵĂŶ
p.43 C2
ϲϬ
ϵϬ
ϴϬ
3 50
0 Catégories
4 sŽŝĐŝ ůĞƐ ƌĠƐƵůƚĂƚƐ ĚΖƵŶĞ ĞŶƋƵġƚĞ ƌĠĂůŝƐĠĞ ĂƵƉƌğƐ ĚĞƐ ϭϮϬ ũĞƵŶĞƐ͕ ƉŽƌƚĂŶƚ ƐƵƌ ůΖĂĐƚŝǀŝƚĠ ĐŚŽŝƐŝĞ ůŽƌƐ ĚĞ ƐƚĂŐĞƐ ĚΖĠƚĠ ͗ ƵŶ ũĞƵŶĞ ƐƵƌ ϲ ƐĞ ƌĞŶĚ ă ůĂ ƐĂůůĞ ĚΖŝŶĨŽƌŵĂƟ ƋƵĞ͕ ƵŶ Ɵ ĞƌƐ ĚĞƐ ũĞƵŶĞƐ ĨĂŝƚ ĚƵ ďƌŝĐŽůĂŐĞ͕ ϱ й ĚĞƐ ũĞƵŶĞƐ ǀŽŶƚ ă ůĂ ďŝďůŝŽƚŚğƋƵĞ͕ ƵŶ ũĞƵŶĞ ƐƵƌ ϴ ƐĞ ƌĞŶĚ ă ůΖĂƚĞůŝĞƌ ƉŚŽƚŽ͕ ůĞ ƌĞƐƚĞ ĚĞƐ ũĞƵŶĞƐ ƉƌĂƟ ƋƵĞ ƵŶ ƐƉŽƌƚ͘ ƉƌğƐ ĂǀŽŝƌ ĐŽŵƉůĠƚĠ ůĞ ƚĂďůĞĂƵ͕ ĐŽŶƐƚƌƵŝƐ ƵŶ ĚŝĂŐƌĂŵŵĞ ĞŶ ďąƚŽŶƐ ŝůůƵƐƚƌĂŶƚ ĐĞƚƚĞ ƐŝƚƵĂƚŝŽŶ͘ Répar on des ac vités ĐƚŝǀŝƚĠ
Nombre de jeunes
EŽŵďƌĞ ĚĞ ũĞƵŶĞƐ
/ŶĨŽƌŵĂƚŝƋƵĞ ƌŝĐŽůĂŐĞ ŝďůŝŽƚŚğƋƵĞ
10
WŚŽƚŽ ^ƉŽƌƚ
0
Ac vités
5
p.43 C1
>ĞƐ ƉĂƌĞŶƚƐ ĚĞ EŝĐŽůĂƐ ů͛ŽŶƚ ƉĞƐĠ ƵŶĞ ĨŽŝƐ ƉĂƌ ĂŶ ĚĞƉƵŝƐ ƐĂ ŶĂŝƐƐĂŶĐĞ ũƵƐƋƵ͛ă ϲ ĂŶƐ͘ ŽŶƐƚƌƵŝƐ ƵŶ ŐƌĂƉŚŝƋƵĞ ŵŽŶƚƌĂŶƚ ǀŽůƵƟ ŽŶ ĚĞ ůĂ ŵĂƐƐĞ ĚĞ EŝĐŽůĂƐ ů͛ĠǀŽůƵƚŝŽŶ ĚĞ ůĂ ŵĂƐƐĞ ĚĞ EŝĐŽůĂƐ ĞŶ ĨŽŶĐƚŝŽŶ ĚĞ ƐŽŶ ąŐĞ͘ ŐĞ ;ĂŶƐͿ DĂƐƐĞ ;ŬŐͿ Ϭ ϰ ϭ ϭϭ Ϯ ϭϯ ϯ ϭϱ ϰ ϭϴ ϱ Ϯϭ 6 Ϯϱ 69
ACTIVITÉS
Chapitre 3 Traitement de données et pourcentages
ĐƚŝǀŝƚĠ ϲ Analyse de graphiques et de diagrammes 1 hŶ ƉƌŽĨĞƐƐĞƵƌ Ă ƚƌĂĚƵŝƚ ůĞƐ ƌĠƐƵůƚĂƚƐ ĚΖƵŶ ƚĞƐƚ ŶŽƚĠ ƐƵƌ ϭϬ ƉĂƌ ůĞ ĚŝĂŐƌĂŵŵĞ ĞŶ ďąƚŽŶƐ ƋƵĞ ǀŽŝĐŝ͘ Nombre d’élèves 6
Résultats d’un test noté sur 10
5
3
4 3 2 1 Cote sur 10
0 1
2
3
4
5
6
7
8
9
10
hƚŝůŝƐĞ ůĞ ŐƌĂƉŚŝƋƵĞ ƉŽƵƌ ƌĠƉŽŶĚƌĞ ĂƵdž ƋƵĞƐƚŝŽŶƐ ƐƵŝǀĂŶƚĞƐ͘ ĂͿ YƵĞů ĞƐƚ ůĞ ŶŽŵďƌĞ ĚΖĠůğǀĞƐ ƋƵŝ͙ ŽŶƚ ƉĂƌƚŝĐŝƉĠ ĂƵ ƚĞƐƚ ͍ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ŽŶƚ ŽďƚĞŶƵ ůĂ ŶŽƚĞ ŵĂdžŝŵĂůĞ ͍ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ƐŽŶƚ ĞŶ ĠĐŚĞĐ ͍ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ŽŶƚ ƉůƵƐ ĚĞ ϴϬ й ͍ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ďͿ ĂůĐƵůĞ ůĞ ƉŽƵƌĐĞŶƚĂŐĞ ĚΖĠůğǀĞƐ ƋƵŝ ŽŶƚ ŽďƚĞŶƵ ĞdžĂĐƚĞŵĞŶƚ ϱ ƐƵƌ ϭϬ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
ĐͿ >Ğ ƉƌŽĨĞƐƐĞƵƌ Ă ĚĠĐŝĚĠ ĚĞ ƌĠĐŽŵƉĞŶƐĞƌ ůĞƐ ĠůğǀĞƐ ƋƵŝ ŽŶƚ ŽďƚĞŶƵ ĂƵ ŵŽŝŶƐ ϳ ƐƵƌ ϭϬ͘ ŽŵďŝĞŶ ƐŽŶƚͲŝůƐ ͍ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
2 sŽŝĐŝ ƵŶ ŐƌĂƉŚŝƋƵĞ ŝůůƵƐƚƌĂŶƚ ůĞƐ ďĞƐŽŝŶƐ ŵŽLJĞŶƐ ũŽƵƌŶĂůŝĞƌƐ ĞŶ ŬŝůŽĐĂůŽƌŝĞƐ ĚĞƐ ĨŝůůĞƐ Ğƚ ĚĞƐ ŐĂƌĕŽŶƐ͘ Kilocalories 3500 3000 2500 2000 1500 1000 500 0
Besoins journaliers en kilocalories
10-12 ans Filles
70
13-15 ans Garçons
16-19 ans
ACTIVITÉS
Chapitre 3 Traitement de données et pourcentages
hƚŝůŝƐĞ ĐĞ ŐƌĂƉŚŝƋƵĞ ƉŽƵƌ ƌĠƉŽŶĚƌĞ ĂƵdž ƋƵĞƐƚŝŽŶƐ ĐŝͲĚĞƐƐŽƵƐ͘ ĂͿ >ƵĐŝĞ Ă ϭϭ ĂŶƐ͘ ŽŵďŝĞŶ ůƵŝ ĨĂƵƚͲŝů ĚĞ ŬŝůŽĐĂůŽƌŝĞƐ ƉĂƌ ũŽƵƌ ͍ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ďͿ ƌŶĂƵĚ ĞƐƚ ƵŶ ŐƌĂŶĚ ƐƉŽƌƚŝĨ ąŐĠ ĚĞ ϭϭ ĂŶƐ Ğƚ ŝů ĂďƐŽƌďĞ ϮϱϱϬ ŬŝůŽĐĂůŽƌŝĞƐ ƉĂƌ ũŽƵƌ͘ ͲƚͲŝů ůĂ ƌĂƚŝŽŶ ĚŽŶƚ ŝů Ă ďĞƐŽŝŶ ͍ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
ĐͿ ĂŶƐ ƵŶ ĐĂŵƉ ƐĐŽƵƚ ĐŽŵƉŽƐĠ ƵŶŝƋƵĞŵĞŶƚ ĚĞ ĨŝůůĞƐ ĚĞ ĚŝĨĨĠƌĞŶƚƐ ąŐĞƐ͕ ƋƵĞůůĞ ƌĂƚŝŽŶ ĨĂƵƚͲŝů ĨŽƵƌŶŝƌ ƉŽƵƌ ġƚƌĞ ĐĞƌƚĂŝŶ ƋƵ͛ĞůůĞƐ ĂŝĞŶƚ ƚŽƵƚĞƐ ƵŶĞ ƌĂƚŝŽŶ ĐŽƌƌĞƐƉŽŶĚĂŶƚ ă ůĞƵƌƐ ďĞƐŽŝŶƐ ũŽƵƌŶĂůŝĞƌƐ ͍ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
ĚͿ ĠƚĞƌŵŝŶĞ ůĞ ŶŽŵďƌĞ ĚĞ ŬŝůŽĐĂůŽƌŝĞƐ ƐƵƉƉůĠŵĞŶƚĂŝƌĞƐ ĚŽŶƚ Ă ďĞƐŽŝŶ ƵŶ ŐĂƌĕŽŶ ĚĞ ϭϴ ĂŶƐ ƉĂƌ ƌĂƉƉŽƌƚ ă ƵŶĞ ĨŝůůĞ ĚƵ ŵġŵĞ ąŐĞ͕ ƉƵŝƐ ĞdžƉƌŝŵĞ ĐĞƚƚĞ ƋƵĂŶƚŝƚĠ ĞŶ ƉŽƵƌĐĞŶƚƐ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
ĞͿ ŽŵŝŶŝƋƵĞ ƐĞ ŶŽƵƌƌŝƚ ĞŶ ƌĞƐƉĞĐƚĂŶƚ ůĞƐ ďĞƐŽŝŶƐ ũŽƵƌŶĂůŝĞƌƐ Ğƚ ĂďƐŽƌďĞ ϮϳϬϬ ŬĐĂů ƉĂƌ ũŽƵƌ͘ ^͛ĂŐŝƚͲŝů Ě͛ƵŶĞ ĨŝůůĞ ŽƵ Ě͛ƵŶ ŐĂƌĕŽŶ Ğƚ ĚĞ ƋƵĞůůĞ ƚƌĂŶĐŚĞ Ě͛ąŐĞƐ ĨĂŝƚ ƉĂƌƚŝĞ ŽŵŝŶŝƋƵĞ ͍ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
3 >Ğ ŐƌĂƉŚŝƋƵĞ ĐŝͲĐŽŶƚƌĞ ƌĞƉƌĠƐĞŶƚĞ ůĂ ƌĠƉĂƌƚŝƚŝŽŶ ĚĞƐ ŽƵǀƌŝĞƌƐ Ě͛ƵŶĞ WD ƐĞůŽŶ ůĞƵƌ ŐƌŽƵƉĞ ƐĂŶŐƵŝŶ͘
'ƌŽƵƉĞ ƐĂŶŐƵŝŶ ĚĞƐ ŽƵǀƌŝĞƌƐ Ě͛ƵŶĞ WD
ĂͿ >ĞƐ ĂĨĨŝƌŵĂƚŝŽŶƐ ƐƵŝǀĂŶƚĞƐ ƐŽŶƚͲĞůůĞƐ ǀƌĂŝĞƐ ŽƵ ĨĂƵƐƐĞƐ ͍ :ƵƐƚŝĨŝĞ͘ >Ğ ŐƌŽƵƉĞ ƐĂŶŐƵŝŶ ůĞ ƉůƵƐ ƌĞƉƌĠƐĞŶƚĠ ĞƐƚ ůĞ ŐƌŽƵƉĞ ͘
A
O
͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
AB
B
>Ğ ŐƌŽƵƉĞ ƐĂŶŐƵŝŶ ůĞ ŵŽŝŶƐ ƌĞƉƌĠƐĞŶƚĠ ĞƐƚ ůĞ ŐƌŽƵƉĞ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
WůƵƐ ĚĞ ůĂ ŵŽŝƚŝĠ ĚĞƐ ŽƵǀƌŝĞƌƐ ƐŽŶƚ ĚƵ ŐƌŽƵƉĞ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
DŽŝŶƐ ĚĞ ϳϱ й ĚĞƐ ŽƵǀƌŝĞƌƐ ƐŽŶƚ ĚƵ ŐƌŽƵƉĞ ŽƵ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
ďͿ hƚŝůŝƐĞ ƚĂ ĐĂůĐƵůĂƚƌŝĐĞ ƉŽƵƌ ĐŽŵƉůĠƚĞƌ ůĞ ƚĂďůĞĂƵ ĐŝͲĚĞƐƐŽƵƐ͘ 'ƌŽƵƉĞ
ŵƉůŝƚƵĚĞ
WŽƵƌĐĞŶƚĂŐĞ
EŽŵďƌĞ Ě͛ŽƵǀƌŝĞƌƐ
A B AB O
ϮϰϬ
TOTAUX 71
3
ACTIVITÉS
Chapitre 3 Traitement de données et pourcentages
4 KŶ Ă ƌĞƉƌĠƐĞŶƚĠ ĐŝͲĐŽŶƚƌĞ ů͛ĠǀŽůƵƚŝŽŶ ĚĞ ůĂ ĚŝƐƚĂŶĐĞ ƉĂƌĐŽƵƌƵĞ ƉĂƌ ƵŶ ĂƵƚŽŵŽďŝůŝƐƚĞ ůŽƌƐ ĚĞ ƐŽŶ ĚĠƉĂƌƚ ĞŶ ǀĂĐĂŶĐĞƐ͘ hƚŝůŝƐĞ ĐĞ ŐƌĂƉŚŝƋƵĞ ƉŽƵƌ ƌĠƉŽŶĚƌĞ ĂƵdž ƋƵĞƐƚŝŽŶƐ ƐƵŝǀĂŶƚĞƐ͘
ǀŽůƵƟ ŽŶ ĚĞ ůĂ ĚŝƐƚĂŶĐĞ ƉĂƌĐŽƵƌƵĞ Distance (km)
ĂͿ YƵĞůůĞ ĚŝƐƚĂŶĐĞ ůΖĂƵƚŽŵŽďŝůŝƐƚĞ ĂͲƚͲŝů ƉĂƌĐŽƵƌƵĞ Ğƚ ĞŶ ĐŽŵďŝĞŶ ĚĞ ƚĞŵƉƐ ͍ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
3
100 Durée (h)
͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
ďͿ YƵĞůůĞ ĚŝƐƚĂŶĐĞ ůΖĂƵƚŽŵŽďŝůŝƐƚĞ ĂͲƚͲŝů ƉĂƌĐŽƵƌƵĞ ĂƵ ďŽƵƚ ĚĞ͙ ϭ Ś ͍ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
0
1
ϯ Ś ͍ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
ĐͿ Ƶ ďŽƵƚ ĚĞ ĐŽŵďŝĞŶ ĚĞ ƚĞŵƉƐ ĐĞƚ ĂƵƚŽŵŽďŝůŝƐƚĞ ĂͲƚͲŝů ƉĂƌĐŽƵƌƵ͘͘͘ ϭϬϬ Ŭŵ ͍ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
ϮϬϬ Ŭŵ ͍ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
ϰϳϱ Ŭŵ ͍ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
ϱϬϬ Ŭŵ ͍ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
ĚͿ Ƶ ĐŽƵƌƐ ĚĞ ƐŽŶ ƚƌĂũĞƚ͕ ŝů Ă ĨĂŝƚ ƵŶĞ ƉĂƵƐĞ͘ WĞŶĚĂŶƚ ĐŽŵďŝĞŶ ĚĞ ƚĞŵƉƐ ͍ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ĞͿ ƋƵĞůůĞ ǀŝƚĞƐƐĞ ŵŽLJĞŶŶĞ ĂͲƚͲŝů ƌŽƵůĠ ͙ ƉĞŶĚĂŶƚ ůĂ ϭre ŚĞƵƌĞ ͍ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ƉĞŶĚĂŶƚ ůĞƐ ƚƌŽŝƐ ƉƌĞŵŝğƌĞƐ ŚĞƵƌĞƐ ͍ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ĚĞƉƵŝƐ ƐŽŶ ĚĠƉĂƌƚ ũƵƐƋƵ͛ĂƵ ŵŽŵĞŶƚ ĚĞ ůĂ ƉĂƵƐĞ ͍ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ 25 dƌŽŝƐ ĂŵŝƐ ĚĠĐŝĚĞŶƚ ĚĞ ĨĂŝƌĞ ƵŶĞ ĐŽƵƌƐĞ ă ƉŝĞĚ ĚĂŶƐ ůĂ ŐƌĂŶĚĞ ƉĞůŽƵƐĞ ĚĞ ůΖƵŶ ĚΖĞƵdž͘ WŽƵƌ ĐĞůĂ͕ ŝůƐ ĚŽŝǀĞŶƚ ĐŽƵƌŝƌ ĞŶ ůŝŐŶĞ ĚƌŽŝƚĞ ũƵƐƋƵΖă ƵŶ ƐĂƉŝŶ ƐŝƚƵĠ ă ƵŶĞ ĚŝƐƚĂŶĐĞ ĚĞ ϴϬ ŵ͕ ůĞ ƚŽƵĐŚĞƌ ĚĞ ůĂ ŵĂŝŶ͕ ƉƵŝƐ ƌĞǀĞŶŝƌ ƐƵƌ ůĞƵƌƐ ƉĂƐ ă ůĞƵƌ ƉŽŝŶƚ ĚĞ ĚĠƉĂƌƚ͘ >Ğ ŐƌĂƉŚŝƋƵĞ ĐŝͲĐŽŶƚƌĞ ŝůůƵƐƚƌĞ ůĂ ĚŝƐƚĂŶĐĞ ĚĞ ĐŚĂĐƵŶ ƉĂƌ ƌĂƉƉŽƌƚ ă ůĞƵƌ ƉŽŝŶƚ ĚĞ ĚĠƉĂƌƚ͘
ŝƐƚĂŶĐĞ ƉĂƌĐŽƵƌƵĞ ƉĂƌ ƌĂƉƉŽƌƚ ĂƵ ƉŽŝŶƚ ĚĞ ĚĠƉĂƌƚ y Distance (m) Alex Claude Mar n
20 0
10
Temps (s)
x
hƚŝůŝƐĞ ůĞ ŐƌĂƉŚŝƋƵĞ ƉŽƵƌ ƌĠƉŽŶĚƌĞ ĂƵdž ƋƵĞƐƚŝŽŶƐ ƐƵŝǀĂŶƚĞƐ͘ ĂͿ YƵŝ Ă ƚŽƵĐŚĠ ůĞ ƐĂƉŝŶ ůĞ ƉƌĞŵŝĞƌ Ğƚ ĞŶ ĐŽŵďŝĞŶ ĚĞ ƚĞŵƉƐ ͍ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ďͿ YƵŝ Ă ŐĂŐŶĠ ůĂ ĐŽƵƌƐĞ Ğƚ ĞŶ ĐŽŵďŝĞŶ ĚĞ ƚĞŵƉƐ ͍ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ĐͿ hŶ ĐŽƵƌĞƵƌ Ă ĐŚƵƚĠ ůŽƌƐ ĚƵ ƚƌĂũĞƚ ƌĞƚŽƵƌ͘ YƵŝ ͍ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ĐŽŵďŝĞŶ ĚĞ ŵğƚƌĞƐ ĚĞ ů͛ĂƌƌŝǀĠĞ ĐĞƚƚĞ ĐŚƵƚĞ Ɛ͛ĞƐƚͲĞůůĞ ƉƌŽĚƵŝƚĞ ͍ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ŽŵďŝĞŶ ĚĞ ƚĞŵƉƐ ĐĞ ĐŽƵƌĞƵƌ ĂͲƚͲŝů ƉĞƌĚƵ ĞŶ ĐŚƵƚĂŶƚ ͍ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ĚͿ YƵĞů Ăŵŝ Ă ƚƌŝĐŚĠ ͍ džƉůŝƋƵĞ ƉŽƵƌƋƵŽŝ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘ ͘
72
Chapitre 3 Traitement de données et pourcentages
EXERCICES COMPLÉMENTAIRES
Connaître 1
YƵĞů ƚLJƉĞ ĚĞ ŐƌĂƉŚŝƋƵĞ ĐŽŶǀŝĞŶƚ ůĞ ŵŝĞƵdž ƉŽƵƌ ƌĞƉƌĠƐĞŶƚĞƌ ͗ ĂͿ ůĂ ƌĠƉĂƌƟ Ɵ ŽŶ ĚĞƐ ĂĐĐŝĚĞŶƚƐ ĚĞ ůĂ ƌŽƵƚĞ ƐĞůŽŶ ůĞ ƚLJƉĞ Ě͛ƵƐĂŐĞƌ ͍ ďͿ ůĞƐ ƌĠƐƵůƚĂƚƐ ŽďƚĞŶƵƐ ƉĂƌ ƵŶ ĠůğǀĞ ĚĂŶƐ ůĞƐ Ěŝī ĠƌĞŶƚƐ ĐŽƵƌƐ ͍ ĐͿ ů͛ĠǀŽůƵƟ ŽŶ ĚĞ ů͛ŝŶĚĞdž ĚĞƐ Ɖƌŝdž ă ůĂ ĐŽŶƐŽŵŵĂƟ ŽŶ ĐĞƐ Ěŝdž ĚĞƌŶŝğƌĞƐ ĂŶŶĠĞƐ ͍ ĚͿ ůĂ ǀĂƌŝĂƟ ŽŶ ĚĞ ůĂ ĚƵƌĠĞ Ě͛ĞŶƐŽůĞŝůůĞŵĞŶƚ ĂƵ ĐŽƵƌƐ ĚƵ ŵŽŝƐ ĚĞ ũƵŝŶ ͍ ĞͿ ůĂ ƌĠƉĂƌƟ Ɵ ŽŶ ĚĞ ůĂ ƉŽƉƵůĂƟ ŽŶ ƐĐŽůĂŝƌĞ ƐĞůŽŶ ůĞ ƚLJƉĞ Ě͛ĞŶƐĞŝŐŶĞŵĞŶƚ ͍ ĨͿ ůĞ ŶŽŵďƌĞ Ě͛ŚĂďŝƚĂŶƚƐ ĞŶ ĞůŐŝƋƵĞ ƉĂƌ ĐůĂƐƐĞ Ě͛ąŐĞƐ ͍ ŐͿ ů͛ŚŝƐƚŽƌŝƋƵĞ ĚĞ ůĂ ĐŽŶƐŽŵŵĂƟ ŽŶ Ě͛ĞĂƵ Ě͛ƵŶ ŵĠŶĂŐĞ ĐĞƐ ĐŝŶƋ ĚĞƌŶŝğƌĞƐ ĂŶŶĠĞƐ ͍
2
>ĞƐ ƉƌŽƉŽƐŝƟ ŽŶƐ ƐƵŝǀĂŶƚĞƐ ƐŽŶƚͲĞůůĞƐ ǀƌĂŝĞƐ ŽƵ ĨĂƵƐƐĞƐ ͍ ĂͿ ĂůĐƵůĞƌ ϳϱ й Ě͛ƵŶ ŶŽŵďƌĞ ƌĞǀŝĞŶƚ ă ĞŶ ƉƌĞŶĚƌĞ ůĞƐ ϯͬϰ͘ ďͿ WŽƵƌ ĐĂůĐƵůĞƌ ϵ й Ě͛ƵŶ ŵŽŶƚĂŶƚ Ě͛ƵŶĞ ĨĂĐƚƵƌĞ͕ ŽŶ ůĞ ŵƵůƟ ƉůŝĞ ƉĂƌ Ϭ͕ϵ͘ ĐͿ hŶĞ ƌĞŵŝƐĞ ĚĞ ϮϬ € ƐƵƌ ƵŶ ĂƌƟ ĐůĞ ĐŽƸƚĂŶƚ ϴϬ € ĐŽƌƌĞƐƉŽŶĚ ă ƵŶĞ ƌĠĚƵĐƟ ŽŶ ĚĞ Ϯϱ й͘ ĚͿ ^ŝ ƵŶĞ ƉŽƉƵůĂƟ ŽŶ ƐĐŽůĂŝƌĞ ƉĂƐƐĞ ĚĞ ϭϬϬ ă ϭϯϮ ĠůğǀĞƐ͕ ĂůŽƌƐ ĞůůĞ ĂƵŐŵĞŶƚĞ ĚĞ ϯϮ й͘ ĞͿ ĂůĐƵůĞƌ ƵŶ ŵŽŶƚĂŶƚ ŵĂũŽƌĠ ĚĞ ϴ й ƌĞǀŝĞŶƚ ă ůĞ ŵƵůƟ ƉůŝĞƌ ƉĂƌ ϭ͕ϴ͘
3
>ĞƋƵĞů ĚĞ ĐĞƐ ďŝĞŶƐ ŝŵŵŽďŝůŝĞƌƐ Ă ǀƵ ƐŽŶ Ɖƌŝdž ĚŝŵŝŶƵĞƌ ůĞ ƉůƵƐ ͍ :ƵƐƟ Į Ğ ƚŽŶ ĐŚŽŝdž͘ ͗ ƵŶĞ ĚŝŵŝŶƵƟ ŽŶ ĚĞ ϭϬ й ƉƵŝƐ ƵŶĞ ĚŝŵŝŶƵƟ ŽŶ ĚĞ ϯϬ й ͗ ƵŶĞ ĚŝŵŝŶƵƟ ŽŶ ĚĞ ϯϬ й ƉƵŝƐ ƵŶĞ ĚŝŵŝŶƵƟ ŽŶ ĚĞ ϭϬ й ͗ ƵŶĞ ĚŝŵŝŶƵƟ ŽŶ ĚĞ ϮϬ й ƉƵŝƐ ƵŶĞ ĚŝŵŝŶƵƟ ŽŶ ĚĞ ϮϬ й ͗ ƵŶĞ ĚŝŵŝŶƵƟ ŽŶ ĚĞ ϰϬ й
4
ŽŵƉůğƚĞ ĂǀĞĐ ͕ ͕ ͕ ͕ ͕ & ŽƵ '͘ ĂͿ DŽŶ ĂďƐĐŝƐƐĞ ǀĂƵƚ Ϯ ĚĞ ƉůƵƐ ƋƵĞ ŵŽŶ ŽƌĚŽŶŶĠĞ͕ ũĞ ƐƵŝƐ ůĞ ƉŽŝŶƚ ͘͘͘ ďͿ DŽŶ ĂďƐĐŝƐƐĞ ĞƐƚ ĠŐĂůĞ ă ŵŽŶ ŽƌĚŽŶŶĠĞ͕ ũĞ ƐƵŝƐ ůĞ ƉŽŝŶƚ ͘͘͘ ĐͿ DŽŶ ŽƌĚŽŶŶĠĞ ǀĂƵƚ ůĂ ŵŽŝƟ Ġ ĚĞ ŵŽŶ ĂďƐĐŝƐƐĞ͕ ũĞ ƐƵŝƐ ůĞ ƉŽŝŶƚ ͘͘͘ ĚͿ DŽŶ ŽƌĚŽŶŶĠĞ ǀĂƵƚ ůĞ ƚƌŝƉůĞ ĚĞ ŵŽŶ ĂďƐĐŝƐƐĞ͕ ũĞ ƐƵŝƐ ůĞ ƉŽŝŶƚ ͘͘͘
y
3
E
F
C
D A
B G
1 0
x
1
Appliquer Les pourcentages 1
ĂůĐƵůĞ ŵĞŶƚĂůĞŵĞŶƚ͘ Ϯϱ й ĚĞ ϴϬ ϮϬ й ĚĞ ϭϱϬ ϱϬ й ĚĞ ϵϴ
2
ϮϬ й ĚĞ ϴϱϬϬ ϱϬ й ĚĞ ϮϳϰϬ ϳϱ й ĚĞ ϯϲϴϬ
ϭϬ й ĚĞ ϲϯϱ Ϯϱ й ĚĞ ϴϰϰ ϮϬ й ĚĞ ϭϮϱ
ĂůĐƵůĞ ĞŶ ƵƟ ůŝƐĂŶƚ ĠǀĞŶƚƵĞůůĞŵĞŶƚ ƵŶĞ ĐĂůĐƵůĂƚƌŝĐĞ͘ ϭϮ й ĚĞ ϭϰ ϱϬϬ ϭϱ й ĚĞ ϰϱϬ Ϯϭ й ĚĞ ϰϱ ϬϬϬ Ϯϭ й ĚĞ ϭϮϬ ϲ й ĚĞ ϭϮ ϬϬϬ ϵ й ĚĞ ϳϴϱϬ
ϲ й ĚĞ ϴϬ ϰ й ĚĞ ϰϱϬ ϭϭ й ĚĞ ϳϬϬ
ϭϭ й ĚĞ ϰϮϬϬ ϴ й ĚĞ ϭϮϱϬ ϭϱ й ĚĞ ϲϰϮϰ
Ϯϱ й ĚĞ ϭϰϱ Ϯϭ͕ϱ й ĚĞ ϰϱϬϬ ϳ͕ϱ й ĚĞ ϲϱϬ
73
EXERCICES COMPLÉMENTAIRES 3
4
3
ŽŵƉůğƚĞ ůĞƐ ƚĂďůĞĂƵdž ĞŶ ƵƟ ůŝƐĂŶƚ ĠǀĞŶƚƵĞůůĞŵĞŶƚ ƚĂ ĐĂůĐƵůĂƚƌŝĐĞ͘ Wƌŝdž ĂǀĂŶƚ ƌĠĚƵĐƟ ŽŶ
ZĠĚƵĐƟ ŽŶ
ϯϬϬ Φ ϭϰϬϬ Φ ϰϮ͕ϲϬ Φ ϯϭ Φ ϭϴ Φ
ϮϬ й ϯϬ й ϭϱ й ϭϬ й ϯϱ й
Wƌŝdž ĂƉƌğƐ ƌĠĚƵĐƟ ŽŶ
Wƌŝdž ĂǀĂŶƚ Wƌŝdž ĂƉƌğƐ ƵŐŵĞŶƚĂƟ ŽŶ ĂƵŐŵĞŶƚĂƟ ŽŶ ĂƵŐŵĞŶƚĂƟ ŽŶ ϯϮ͕ϱϬ Φ ϭϰ͕ϰϱ Φ ϰϮϰ Φ ϰϱ Φ ϯϭϬ Φ
ϭϬ й ϱ й Ϯϱ й ϲ й Ϯϭ й
Ŷ ƐŽůĚĂŶƚ ƐĞƐ Ɖƌŝdž͕ ƵŶ ĐŽŵŵĞƌĕĂŶƚ Ă ĐŽŵŵŝƐ ƵŶĞ ĞƌƌĞƵƌ͘ ZĞƚƌŽƵǀĞͲůĂ͘ ϮϬϬ € ʹϭϬ й ϭϴϬ €
5
Chapitre 3 Traitement de données et pourcentages
ϳϬϬ € ʹϮϬ й ϱϲϬ €
ϭϬ € ʹϰϬ й 6€
ϯϬ € ʹϲ й Ϯϰ €
ϭϲ € ʹϮϱ й ϭϮ €
hŶ ĞŵƉůŽLJĠ ĚƵ ŵĂŐĂƐŝŶ ͨ DĞĚŝĂƉůĂLJ ͕ͩ ƐƉĠĐŝĂůŝƐƚĞ ĚĞ ůĂ ǀĞŶƚĞ Ě͛ĂƉƉĂƌĞŝůƐ ǀŝĚĠŽ ĞƐƚ ĐŚĂƌŐĠ Ě͛ĠƚĂďůŝƌ ůĂ ĨĂĐƚƵƌĞ ƌĞůĂƟ ǀĞ ă ůĂ ĐŽŵŵĂŶĚĞ ƐƵŝǀĂŶƚĞ ͗ ϰ ƚĠůĠǀŝƐĞƵƌƐ ă ϳϰϵ € ů͛ƵŶŝƚĠ ĠƐŝŐŶĂƟ ŽŶ YƵĂŶƟ ƚĠ Wƌŝdž ƵŶŝƚĂŝƌĞ ;€Ϳ Wƌŝdž ƚŽƚĂů ;€Ϳ ϱ ůĞĐƚĞƵƌƐ ǀŝĚĠŽ ă Ϯϱϱ € ů͛ƵŶŝƚĠ ĞƐ ůĞĐƚĞƵƌƐ DWϰ ă ϭϮϰ € ů͛ƵŶŝƚĠ ŽŵƉůğƚĞ ůĂ ĨĂĐƚƵƌĞ ĐŝͲĐŽŶƚƌĞ͘ dŽƚĂů ,d
ϱϮϲϯ
ds Ϯϭ й Total TTC
Les diagrammes 6
sŽŝĐŝ ůĞƐ ƌĠƐƵůƚĂƚƐ ĚΖƵŶ ƐŽŶĚĂŐĞ Ğī ĞĐƚƵĠ ƐƵƌ ůĞƐ ϱϬϬ ĠƚƵĚŝĂŶƚƐ ĚΖƵŶĞ ĠĐŽůĞ ĞƵƌŽƉĠĞŶŶĞ͕ ƉŽƌƚĂŶƚ ƐƵƌ ůĞ ĐŚŽŝdž ĚĞ ůĂ ĚĞƵdžŝğŵĞ ůĂŶŐƵĞ͘ ƐƉĂŐŶŽů ͗ ϭϱϬ ŶŐůĂŝƐ ͗ ϮϮϱ ůůĞŵĂŶĚ ͗ ϳϱ /ƚĂůŝĞŶ ͗ ϰϬ ZĞƉƌĠƐĞŶƚĞ ĐĞƩ Ğ ƐŝƚƵĂƟ ŽŶ ă ůΖĂŝĚĞ ĚΖƵŶ ĚŝĂŐƌĂŵŵĞ ĐŝƌĐƵůĂŝƌĞ͘
7
sŽŝĐŝ ůĂ ƌĠƉĂƌƟ Ɵ ŽŶ ĚĞƐ ĚĠƉĞŶƐĞƐ ŵĞŶƐƵĞůůĞƐ Ě͛ƵŶ ŵĠŶĂŐĞ͘ >ŽŐĞŵĞŶƚ ͗ ϲϴϲ € >ŽŝƐŝƌƐ ͗ Ϯϰϱ €
ZƵƐƐĞ ͗ ϭϬ
ůŝŵĞŶƚĂƟ ŽŶ ͗ ϱϯϵ € dƌĂŶƐƉŽƌƚƐ ͗ ϯϰϯ €
,ĂďŝůůĞŵĞŶƚ ͗ ϰϰϭ € ^ĂŶƚĠ ͗ ϭϵϲ €
ZĞƉƌĠƐĞŶƚĞ ĐĞƩ Ğ ƌĠƉĂƌƟ Ɵ ŽŶ ă ů͛ĂŝĚĞ Ě͛ƵŶ ĚŝĂŐƌĂŵŵĞ ĐŝƌĐƵůĂŝƌĞ͘ 8
hŶĞ ĞŶƋƵġƚĞ Ă ĠƚĠ ƌĠĂůŝƐĠĞ ĂƵ ƐĞŝŶ Ě͛ƵŶĞ ĠĐŽůĞ ƉŽƵƌ ĐŽŶŶĂŠƚƌĞ ůĞ ƚĞŵƉƐ ŚĞďĚŽŵĂĚĂŝƌĞ ŵŽLJĞŶ ĐŽŶƐĂĐƌĠ ĂƵ ƐƉŽƌƚ͘ sŽŝĐŝ ůĞƐ ƌĠƐƵůƚĂƚƐ ŽďƚĞŶƵƐ ;ĞŶ ŵŝŶƵƚĞƐͿ ƉŽƵƌ ůĞƐ Ɛŝdž ĂŶŶĠĞƐ͘ ϭre ĂŶŶĠĞ ͗ ϭϲϬ
Ϯe ĂŶŶĠĞ ͗ ϯϭϬ
ϯe ĂŶŶĠĞ ͗ ϯϯϬ
ϰe ĂŶŶĠĞ ͗ ϭϮϬ
ϱe ĂŶŶĠĞ ͗ ϭϱϬ
6e ĂŶŶĠĞ ͗ ϳϬ
ZĞƉƌĠƐĞŶƚĞ ĐĞƩ Ğ ƐŝƚƵĂƟ ŽŶ ă ů͛ĂŝĚĞ Ě͛ƵŶ ĚŝĂŐƌĂŵŵĞ ĞŶ ďąƚŽŶƐ͘ 9
Ğ ƚĂďůĞĂƵ ĚŽŶŶĞ ůĂ ŵĂƐƐĞ Ě͛ƵŶ ďĠďĠ ĚĞƉƵŝƐ ƐĂ ŶĂŝƐƐĂŶĐĞ ũƵƐƋƵ͛ă ů͛ąŐĞ Ě͛ƵŶ ĂŶ͘ ŐĞ ĞŶ ŵŽŝƐ
Ϭ
ϯ
6
ϵ
ϭϮ
DĂƐƐĞ ĞŶ ŬŐ
ϰ͕ϰϬϬ
ϲ͕ϰϬϬ
ϭϬ
ϭϭ͕ϲϬϬ
ϭϮ͕ϰϬϬ
ŽŶƐƚƌƵŝƐ ƵŶ ŐƌĂƉŚŝƋƵĞ ŵŽŶƚƌĂŶƚ ů͛ĠǀŽůƵƟ ŽŶ ĚĞ ůĂ ŵĂƐƐĞ ĚĞ ĐĞ ďĠďĠ͘
74
Chapitre 3 Traitement de données et pourcentages
10 >Ğ ĚŝĂŐƌĂŵŵĞ ĐŝƌĐƵůĂŝƌĞ ĐŝͲĐŽŶƚƌĞ ƌĞƉƌĠƐĞŶƚĞ
EXERCICES COMPLÉMENTAIRES Nombre d’enfants par famille
ůĞ ŶŽŵďƌĞ Ě͛ĞŶĨĂŶƚƐ ƉĂƌ ĨĂŵŝůůĞ ƐƵŝƚĞ ă ƵŶĞ ĞŶƋƵġƚĞ ŵĞŶĠĞ ĂƵƉƌğƐ ĚĞ ϳϬ ĨĂŵŝůůĞƐ͘ ĠƚĞƌŵŝŶĞ ůĞ ŶŽŵďƌĞ ĚĞ ĨĂŵŝůůĞƐ Ŷ͛ĂLJĂŶƚ ƉĂƐ Ě͛ĞŶĨĂŶƚ͕ ĂLJĂŶƚ ƵŶ͕ ĚĞƵdž͕ ƚƌŽŝƐ ĞŶĨĂŶƚƐ ŽƵ ƉůƵƐ ĚĞ ƚƌŽŝƐ ĞŶĨĂŶƚƐ͘
0 enfant 1 enfant 2 enfants 3 enfants plus de 3 enfants
11 WŽƵƌ ůĂ ũŽƵƌŶĠĞ ĚĞ ƉůĞŝŶ Ăŝƌ ĂƵƚŽŵŶĂůĞ͕ ƋƵĂƚƌĞ
Inscrip ons aux quatre ac vités
ĂĐƟ ǀŝƚĠƐ ŽŶƚ ĠƚĠ ƉƌŽƉŽƐĠĞƐ ĂƵdž ϮϱϬ ĠůğǀĞƐ ĚƵ ƉƌĞŵŝĞƌ ĚĞŐƌĠ Ě͛ƵŶĞ ĠĐŽůĞ ƐĞĐŽŶĚĂŝƌĞ͘ 14% Mini-golf ŝͲĐŽŶƚƌĞ͕ ǀŽŝĐŝ ůĞƐ ƌĠƐƵůƚĂƚƐ ĚĞƐ ŝŶƐĐƌŝƉƟ ŽŶƐ 38% Randonnée pédestre ĂƵdž Ěŝī ĠƌĞŶƚĞƐ ĂĐƟ ǀŝƚĠƐ͘ 26% ZĠƉŽŶĚƐ ĂƵdž ƋƵĞƐƟ ŽŶƐ ĐŝͲĚĞƐƐŽƵƐ͘ Randonnée vélo ĂͿ YƵĞůůĞ ĂĐƟ ǀŝƚĠ Ă ĠƚĠ ĐŚŽŝƐŝĞ ƉĂƌ ĂƵ ŵŽŝŶƐ Descente en kayak 22% ƵŶ ĠůğǀĞ ƐƵƌ ƚƌŽŝƐ ͍ ďͿ ŽŵďŝĞŶ Ě͛ĠůğǀĞƐ ƐĞ ƐŽŶƚ ŝŶƐĐƌŝƚƐ ă ůĂ ƌĂŶĚŽŶŶĠĞ ƉĠĚĞƐƚƌĞ ͍ ĐͿ ŽŵďŝĞŶ Ě͛ĠůğǀĞƐ ŶĞ ƉĂƌƟ ĐŝƉĞƌŽŶƚ ƉĂƐ ĂƵ ŵŝŶŝͲŐŽůĨ ͍ ĚͿ >Ă ĚĞƐĐĞŶƚĞ ĞŶ ŬĂLJĂŬ Ă ĠƚĠ ĐŚŽŝƐŝĞ ƉĂƌ ĐŽŵďŝĞŶ Ě͛ĠůğǀĞƐ ĚĞ ƉůƵƐ ƋƵĞ ůĂ ƌĂŶĚŽŶŶĠĞ ƉĠĚĞƐƚƌĞ ͍ 12 sŽŝĐŝ ůĞ ŐƌĂƉŚŝƋƵĞ ƌĞƉƌĠƐĞŶƚĂŶƚ ůĞ ŶŽŵďƌĞ ĚĞ
ŬŝůŽŵğƚƌĞƐ ƉĂƌĐŽƵƌƵƐ ƉĂƌ ƵŶ ĐLJĐůŝƐƚĞ ŚĞƵƌĞ ƉĂƌ ŚĞƵƌĞ ƉĞŶĚĂŶƚ ƐĂ ƌĂŶĚŽŶŶĠĞ ĚĞ ϭϭϬ Ŭŵ͘ ĂͿ 'ƌĂĚƵĞ ů͛ĂdžĞ ǀĞƌƟ ĐĂů͘ ďͿ ŽŵďŝĞŶ ĚĞ ŬŝůŽŵğƚƌĞƐ ĂͲƚͲŝů ƉĂƌĐŽƵƌƵƐ ƉĞŶĚĂŶƚ ůĂ Ϯe ŚĞƵƌĞ ͍ ĐͿ YƵ͛Ă ĨĂŝƚ ůĞ ĐLJĐůŝƐƚĞ ĞŶƚƌĞ ϭϯ Ś Ğƚ ϭϳ Ś ͍ džƉůŝƋƵĞ͘ ĚͿ ĂŶƐ ƋƵĞů ŝŶƚĞƌǀĂůůĞ ĚĞ ƚĞŵƉƐ ƐĂ ǀŝƚĞƐƐĞ ĂͲƚͲĞůůĞ ĠƚĠ ůĂ ƉůƵƐ ĠůĞǀĠĞ ͍ džƉůŝƋƵĞ͘ ĞͿ WĞŶĚĂŶƚ ĐŽŵďŝĞŶ ĚĞ ƚĞŵƉƐ ĂͲƚͲŝů Ğī ĞĐƟ ǀĞŵĞŶƚ ƌŽƵůĠ ͍
km
Nombre de kilomètres parcourus par un cycliste
Heures 7 8 9 10 11 12 13 14 15 16 17 18
13 >ĞƐ ĚŝĂŐƌĂŵŵĞƐ ĐŝͲĚĞƐƐŽƵƐ ƉƌĠƐĞŶƚĞŶƚ ůĞƐ ƌĠƐƵůƚĂƚƐ ŽďƚĞŶƵƐ ă EŽģů ĂƵ ĐŽƵƌƐ ĚĞ ŵĂƚŚĠŵĂƟ ƋƵĞ ƉĂƌ
ůĞƐ ĠůğǀĞƐ ĚĞ ĚĞƵdž ĐůĂƐƐĞƐ͘ ĞƐ ĠůğǀĞƐ ƐŽŶƚ ƌĠƉĂƌƟ Ɛ ĞŶ ϭϬ ŐƌŽƵƉĞƐ ƐĞůŽŶ ůĞƵƌ ƉŽƵƌĐĞŶƚĂŐĞ͘ 'ϭ ͗ ĚĞ Ϭ ă ŵŽŝŶƐ ĚĞ ϭϬ й 'Ϯ ͗ ĚĞ ϭϬ ă ŵŽŝŶƐ ĚĞ ϮϬ й Nbre d’élèves Classe 1A 'ϯ ͗ ĚĞ ϮϬ ă ŵŽŝŶƐ ĚĞ ϯϬ й 'ϰ ͗ ĚĞ ϯϬ ă ŵŽŝŶƐ ĚĞ ϰϬ й 7 'ϱ ͗ ĚĞ ϰϬ ă ŵŽŝŶƐ ĚĞ ϱϬ й 'ϲ ͗ ĚĞ ϱϬ ă ŵŽŝŶƐ ĚĞ ϲϬ й 65 'ϳ ͗ ĚĞ ϲϬ ă ŵŽŝŶƐ ĚĞ ϳϬ й 'ϴ ͗ ĚĞ ϳϬ ă ŵŽŝŶƐ ĚĞ ϴϬ й 4 3 'ϵ ͗ ĚĞ ϴϬ ă ŵŽŝŶƐ ĚĞ ϵϬ й 'ϭϬ ͗ ĚĞ ϵϬ ă ϭϬϬ й 2 1 ĂͿ ĠƚĞƌŵŝŶĞ͕ ƉŽƵƌ ĐŚĂƋƵĞ ĐůĂƐƐĞ͕ ůĞ ŶŽŵďƌĞ Ě͛ĠůğǀĞƐ ĚĞ 0 ĐŚĂƋƵĞ ŐƌŽƵƉĞ͘ G1 G2 G3 G4 G5 G6 G7 G8 ďͿ ĠƚĞƌŵŝŶĞ ůĞ ƉŽƵƌĐĞŶƚĂŐĞ ĚĞƐ ĠůğǀĞƐ ĚĞ ĐŚĂƋƵĞ ĐůĂƐƐĞ ƋƵŝ Nbre d’élèves Classe 1B ŽŶƚ ƵŶ ĠĐŚĞĐ͘ 7 ĐͿ ĠƚĞƌŵŝŶĞ ůĞ ƉŽƵƌĐĞŶƚĂŐĞ ĚĞƐ ĠůğǀĞƐ ĚĞ ĐŚĂƋƵĞ ĐůĂƐƐĞ ƋƵŝ 6 5 ŽŶƚ ĂƵ ŵŽŝŶƐ ϱϬ й͘ 4 ĚͿ ĠƚĞƌŵŝŶĞ ůĞ ƉŽƵƌĐĞŶƚĂŐĞ ĚĞƐ ĠůğǀĞƐ ĚĞ ĐŚĂƋƵĞ ĐůĂƐƐĞ ƋƵŝ 3 2 ŽŶƚ ƉůƵƐ ĚĞ ϴϬ й͘ 1 ĞͿ ǀĞĐ ƵŶ ƚĞů ŐƌĂƉŚŝƋƵĞ͕ ƉĞƵdžͲƚƵ ĚŝƌĞ ƋƵĞůůĞ ĞƐƚ ůĂ ĐůĂƐƐĞ ƋƵŝ 0 G1 G2 G3 G4 G5 G6 G7 G8 Ă ŽďƚĞŶƵ ůĞ ŵĞŝůůĞƵƌ ƌĠƐƵůƚĂƚ ͍
G9 G10
G9 G10
75
3
EXERCICES COMPLÉMENTAIRES
Chapitre 3 Traitement de données et pourcentages
CE
1D 14 >Ă ŵĂŵĂŶ ĚƵ ƉĞƟ ƚ EŝĐŽůĂƐ ůƵŝ ƉĞƌŵĞƚ ĚĞ ƉƌĞŶĚƌĞ ƵŶ ďŽŶďŽŶ 1 0 ĚĂŶƐ ƵŶ ƐĂĐŚĞƚ ŽƉĂƋƵĞ͘ >Ğ ŶŽŵďƌĞ ĚĞ ďŽŶďŽŶƐ ĚĞ ĐŚĂƋƵĞ
20
ĐŽƵůĞƵƌ ĐŽŶƚĞŶƵƐ ĚĂŶƐ ůĞ ƐĂĐŚĞƚ ĞƐƚ ŝůůƵƐƚƌĠ ƉĂƌ ůĞ ŐƌĂƉŚŝƋƵĞ ĞŶ ďąƚŽŶƐ ĐŝͲĐŽŶƚƌĞ͘ ĂͿ >ĞƐ Ăĸ ƌŵĂƟ ŽŶƐ ƐƵŝǀĂŶƚĞƐ ƐŽŶƚͲĞůůĞƐ ǀƌĂŝĞƐ ŽƵ ĨĂƵƐƐĞƐ ͍ EXPLIQUE ƚĂ ƌĠƉŽŶƐĞ͘ ϭͿ >Ğ ƉŽƵƌĐĞŶƚĂŐĞ ĚĞ ďŽŶďŽŶƐ ũĂƵŶĞƐ ĚĂŶƐ ůĞ ƐĂĐŚĞƚ ĞƐƚ ĚĞ ϭϱ й͘ ϮͿ >Ă ƉƌŽƉŽƌƟ ŽŶ ĚĞ ďŽŶďŽŶƐ ǀĞƌƚƐ ĚĂŶƐ ůĞ ƐĂĐŚĞƚ ĞƐƚ ϲͬϴ͘ ďͿ IDENTIFIE ůĞ ĚŝĂŐƌĂŵŵĞ ĐŝƌĐƵůĂŝƌĞ ƋƵŝ ĐŽƌƌĞƐƉŽŶĚ ĂƵ ĐŽŶƚĞŶƵ ĚƵ ƐĂĐŚĞƚ͘
3
Rouge 25 %
Rose 15 %
Rouge 27 % Jaune 20 %
Orange 10 %
6 5 4 3 2 1 0
Jaune
Rose 18 %
Vert Orange Rouge Rose Couleurs des bonbons Rose 20 %
Rouge 25 % Jaune 15 %
Orange 10 %
Vert 30 %
Nombre de bonbons
7
Jaune 15 %
Orange 10 % Vert 30 %
Vert 30 %
Le repérage 15 ŽŵƉůğƚĞ ůĞƐ ĐŽƵƉůĞƐ ƉŽƵƌ ƋƵ͛ŝůƐ ƌĠƉŽŶĚĞŶƚ ă ůĂ ĐŽŶĚŝƟ ŽŶ ĠŶŽŶĐĠĞ͘
ĂͿ >͛ĂďƐĐŝƐƐĞ Ğƚ ů͛ŽƌĚŽŶŶĠĞ ƐŽŶƚ ĚĞƵdž ŶŽŵďƌĞƐ ĐŽŶƐĠĐƵƟ ĨƐ͘ ;ϰ ͖ ͙Ϳ ;͘͘͘ ͖ ϭͿ ;Ϭ ͖ ͘͘͘Ϳ ďͿ >͛ŽƌĚŽŶŶĠĞ ǀĂƵƚ ϯ ĚĞ ƉůƵƐ ƋƵĞ ů͛ĂďƐĐŝƐƐĞ͘
;͘͘͘ ͖ ϳͿ
;ϭ ͖ ͘͘͘Ϳ
;͘͘͘ ͖ ϴͿ
;ϭ ͖ ͘͘͘Ϳ ;ϵ ͖ ͘͘͘Ϳ ;͘͘͘ ͖ ϳͿ ĐͿ >͛ŽƌĚŽŶŶĠĞ ǀĂƵƚ ůĂ ŵŽŝƟ Ġ ĚĞ ů͛ĂďƐĐŝƐƐĞ͘
;Ϭ ͖ ͘͘͘Ϳ
;͘͘͘ ͖ ϭϭͿ
;ϭϯ ͖ ͘͘͘Ϳ
;Ϯ ͖ ͘͘͘Ϳ ;͘͘͘ ͖ ϱͿ ;ϴ ͖ ͘͘͘Ϳ ĚͿ >͛ĂďƐĐŝƐƐĞ ǀĂƵƚ Ϯ ĚĞ ŵŽŝŶƐ ƋƵĞ ů͛ŽƌĚŽŶŶĠĞ͘
;͘͘͘ ͖ ϳͿ
;͘͘͘ ͖ ϬͿ
;ϭϰ ͖ ͘͘͘Ϳ
;ϰ ͖ ͘͘͘Ϳ ;͘͘͘ ͖ ϵͿ ;ϲ ͖ ͘͘͘Ϳ ĞͿ >Ă ƐŽŵŵĞ ĚĞƐ ĐŽŽƌĚŽŶŶĠĞƐ ǀĂƵƚ ϭϱ͘
;͘͘͘ ͖ ϮͿ
;Ϯ ͖ ͘͘͘Ϳ
;ϭϭ ͖ ͘͘͘Ϳ
;Ϭ ͖ ͘͘͘Ϳ
;͘͘͘ ͖ ϵͿ
;͘͘͘ ͖ ϭϮͿ
;ϯ ͖ ͙Ϳ
;͘͘͘ ͖ ϳͿ
;ϱ ͖ ͘͘͘Ϳ
16 ^Ƶƌ ƵŶ ĚŝĂŐƌĂŵŵĞ ĐĂƌƚĠƐŝĞŶ͕ ƉůĂĐĞ ůĞƐ ƉŽŝŶƚƐ ĚŽŶƚ ƚƵ ĐŽŶŶĂŝƐ ůĞƐ ĐŽŽƌĚŽŶŶĠĞƐ͘
;ϯ͕ϱ ͖ ϯͿ
E ;ϳ ͖ ϬͿ
^ ;ϯ͕ϱ ͖ ϭ͕ϱͿ
;Ϭ ͖ Ϯ͕ϱͿ
/ ;ϯ͕ϱ ͖ ϱ͕ϱͿ
d ;ϳ ͖ Ϯ͕ϱͿ
Z ;ϯ͕ϱ ͖ ϰͿ
K ;Ϭ ͖ ϬͿ
ZĞůŝĞ ůĞƐ ƉŽŝŶƚƐ ũƵĚŝĐŝĞƵƐĞŵĞŶƚ ĚĞ ĨĂĕŽŶ ă ĨĂŝƌĞ ĂƉƉĂƌĂŠƚƌĞ ůĞ ůŽŐŽ ĚΖƵŶĞ ǀŽŝƚƵƌĞ ĨƌĂŶĕĂŝƐĞ͘ Ğ ƋƵĞů ůŽŐŽ ƐΖĂŐŝƚͲŝů ͍
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:ƵƐƋƵ͛ă ƉƌĠƐĞŶƚ͕ WĂƵů Ă ŽďƚĞŶƵ ϰϬͬϲϬ ůŽƌƐ ĚĞƐ Ěŝī ĠƌĞŶƚƐ ƚƌĂǀĂƵdž ĚĞ ĨƌĂŶĕĂŝƐ͘ ƵũŽƵƌĚ͛ŚƵŝ͕ ůĞ ƉƌŽĨĞƐƐĞƵƌ ĚĠĐŝĚĞ ĚĞ ĨĂŝƌĞ ƵŶ ĐŽŶƚƌƀůĞ͘ WĂƵů ǀŽƵĚƌĂŝƚ͕ ĂƵ ƚĞƌŵĞ ĚĞ ĐĞƩ Ğ ŝŶƚĞƌƌŽŐĂƟ ŽŶ͕ ĂǀŽŝƌ ƵŶĞ ŵŽLJĞŶŶĞ ĚĞ ϳϬ й ƉŽƵƌ ů͛ĞŶƐĞŵďůĞ ĚĞ ƐĞƐ ƚƌĂǀĂƵdž͘ YƵĞůůĞ ĚŽŝƚ ġƚƌĞ ƐĂ ĐŽƚĞ ƐƵƌ ϮϬ ă ĐĞ ĚĞƌŶŝĞƌ ĐŽŶƚƌƀůĞ ͍ hŶĞ ĞŶƚƌĞƉƌŝƐĞ ƋƵŝ ĞŵƉůŽŝĞ ϮϱϬϬ ƉĞƌƐŽŶŶĞƐ ƌĠĂůŝƐĞ ƵŶĞ ĞŶƋƵġƚĞ ƉŽƵƌ ƐĂǀŽŝƌ ƋƵĂŶĚ ƉůĂĐĞƌ ůĂ ĐŚĞ ůĞƐ ƌĠƐƵůƚĂƚƐ ͗ ϱe ƐĞŵĂŝŶĞ ĚĞ ĐŽŶŐĠƐ ƉĂLJĠƐ͘ ƉƌğƐ ůĞ ǀŽƚĞ͕ ůĞ ƉĂƚƌŽŶ Ăĸ EŽģů ͗ ϳϰϵ ƉĞƌƐŽŶŶĞƐപപപപപWƌŝŶƚĞŵƉƐ ͗ ϲϳϭ ƉĞƌƐŽŶŶĞƐപപപപപ ƚĠ ͗ ϭϬϱϮ ƉĞƌƐŽŶŶĞƐ ĂͿ ĂůĐƵůĞ ůĞ ƉŽƵƌĐĞŶƚĂŐĞ ĚĞ ƉĞƌƐŽŶŶĞƐ ĚĞ ů͛ĞŶƚƌĞƉƌŝƐĞ ƋƵŝ ƐŽƵŚĂŝƚĞŶƚ ůĂ ƉůĂĐĞƌ ă EŽģů͕ ĂƵ ƉƌŝŶƚĞŵƉƐ Ğƚ ĞŶ ĠƚĠ͘ ďͿ ĂůĐƵůĞ ůĞ ŶŽŵďƌĞ ĚĞ ƉĞƌƐŽŶŶĞƐ Ŷ͛ĂLJĂŶƚ ƉĂƐ ƌĠƉŽŶĚƵ Ğƚ ůĞ ƉŽƵƌĐĞŶƚĂŐĞ ƋƵ͛ĞůůĞƐ ƌĞƉƌĠƐĞŶƚĞŶƚ ĚĂŶƐ ů͛ĞŶƚƌĞƉƌŝƐĞ͘
Chapitre 3 Traitement de données et pourcentages
EXERCICES COMPLÉMENTAIRES
3
hŶ ŐĂƌĂŐŝƐƚĞ ǀĞŶĚ ƵŶĞ ǀŽŝƚƵƌĞ ĚĞ Ϯϴ ϰϯϱ € ds ĐŽŵƉƌŝƐĞ͘ /ů ƉƌŽƉŽƐĞ ĂƵ ĐůŝĞŶƚ ĚĞ ůƵŝ ŽĨĨƌŝƌ ƵŶĞ ƌŝƐƚŽƵƌŶĞ ĚĞ Ϯϭ й ƋƵŝ͕ ƐĞůŽŶ ůƵŝ͕ ĠƋƵŝǀĂƵƚ ă ůĂ ds ͘ ĂůĐƵůĞ ůĞ Ɖƌŝdž ă ƉĂLJĞƌ ƉĂƌ ůĞ ĐůŝĞŶƚ Ğƚ ůĞ ƉŽƵƌĐĞŶƚĂŐĞ ƌĠĞů ĚĞ ůĂ ƌŝƐƚŽƵƌŶĞ ĂĐĐŽƌĚĠĞ ƉĂƌ ůĞ ŐĂƌĂŐŝƐƚĞ͘ ĞƚƚĞ ƌŝƐƚŽƵƌŶĞ ĞƐƚͲĞůůĞ ŝŶĨĠƌŝĞƵƌĞ͕ ƐƵƉĠƌŝĞƵƌĞ ŽƵ ĠŐĂůĞ ĂƵ ŵŽŶƚĂŶƚ ĚĞ ůĂ ds ͍
4
>ŽƌƐƋƵ͛ŝů ǀĂ ĐŚĞnj ƐŽŶ ŽĐƵůŝƐƚĞ͕ DŽŶƐŝĞƵƌ >ĞďŽƌŐŶĞ ƉĂŝĞ ϳϱ € ƉŽƵƌ ůĂ ĐŽŶƐƵůƚĂƚŝŽŶ͘ ^Ă ŵƵƚƵĞůůĞ ůƵŝ ƌĞŵďŽƵƌƐĞ ϳϬ й ĚĞ ĐĞ ŵŽŶƚĂŶƚ͘ ^Ƶƌ ůĞ ŵŽŶƚĂŶƚ ƌĞƐƚĂŶƚ ă ƐĂ ĐŚĂƌŐĞ ĂƉƌğƐ ƌĞŵďŽƵƌƐĞŵĞŶƚ ĚĞ ůĂ ŵƵƚƵĞůůĞ͕ ƐŽŶ ĂƐƐƵƌĂŶĐĞ ͨ ƐŽŝŶƐ ĚĞ ƐĂŶƚĠ ͩ ůƵŝ ƌĞŵďŽƵƌƐĞ ϴϬ й͘ YƵĞů ƉŽƵƌĐĞŶƚĂŐĞ ĚƵ Ɖƌŝdž ĚĞ ůĂ ĐŽŶƐƵůƚĂƚŝŽŶ ĂͲƚͲŝů ĨŝŶĂůĞŵĞŶƚ ƉĂLJĠ ͍
5
WĂƉĂ Ă ĚĠĐŝĚĠ Ě͛ĂĐŚĞƚĞƌ ƵŶĞ ŶŽƵǀĞůůĞ ǀŽŝƚƵƌĞ Ğƚ ƐĞ ƌĞŶĚ ĂƵ ŐĂƌĂŐĞ ĞůĂƵƚŽ͘ WůƵƐŝĞƵƌƐ ŵŽĚğůĞƐ Ğƚ ŽƉƟ ŽŶƐ ůƵŝ ƐŽŶƚ ƉƌŽƉŽƐĠƐ͘ /ů ĐŽŶƐƵůƚĞ ůĞ ƚĂƌŝĨ ĨŽƵƌŶŝ͘ DŽĚğůĞ
Wƌŝdž ,ds ;€Ϳ
KƉƟ ŽŶƐ
Wƌŝdž ,ds ;€Ϳ
ƐƐĞŶĐĞ ϭ͕ϲ ůŝƚƌĞ
ϭϲ ϵϯϬ
ŝƌ ĐŽŶĚŝƟ ŽŶŶĠ
ϭϬϵϬ
ƐƐĞŶĐĞ ϭ͕ϴ ůŝƚƌĞ
ϭϳ ϴϱϬ
WĞŝŶƚƵƌĞ ŵĠƚĂůůŝƐĠĞ
ϰϮϬ
ŝĞƐĞů Ϯ ůŝƚƌĞƐ
ϭϴ ϵϱϬ
WƌŽũĞĐƚĞƵƌƐ ĂŶƟ ďƌŽƵŝůůĂƌĚ
ϭϲϬ
ŝĞƐĞů Ϯ͕Ϯ ůŝƚƌĞƐ
ϭϵ ϰϮϬ
sŝƚƌĂŐĞ ĂƌƌŝğƌĞ ƐƵƌ ƚĞŝŶƚĠ
ϵϬ
ĂͿ WĂƉĂ ĐŚŽŝƐŝƚ ůĞ ŵŽĚğůĞ ĚŝĞƐĞů Ϯ ůŝƚƌĞƐ ĂǀĞĐ ůĞƐ ŽƉƟ ŽŶƐ ͨ Ăŝƌ ĐŽŶĚŝƟ ŽŶŶĠ ͩ Ğƚ ͨ ƉƌŽũĞĐƚĞƵƌƐ ĂŶƟ ďƌŽƵŝůůĂƌĚ ͩ͘ ĂůĐƵůĞ ůĞ Ɖƌŝdž ,ds ĚƵ ǀĠŚŝĐƵůĞ ĐŚŽŝƐŝ͘ ďͿ /ů ĐŽŵŵĂŶĚĞ ƐŽŶ ǀĠŚŝĐƵůĞ ůŽƌƐ Ě͛ƵŶĞ ũŽƵƌŶĠĞ ͨ WŽƌƚĞƐ ŽƵǀĞƌƚĞƐ ͩ Ğƚ ďĠŶĠĮ ĐŝĞ Ě͛ƵŶĞ ƌĞŵŝƐĞ͘ >Ğ Ɖƌŝdž ,ds ĚƵ ǀĠŚŝĐƵůĞ ƉĂƐƐĞ ĂůŽƌƐ ă ϭϵ ϯϵϮ €͘ ĂůĐƵůĞ ůĞ ƉŽƵƌĐĞŶƚĂŐĞ ĚĞ ůĂ ƌĞŵŝƐĞ ĚŽŶƚ ŝů Ă ďĠŶĠĮ ĐŝĠ͘ ĐͿ ^ĂĐŚĂŶƚ ƋƵĞ ůĞ ƚĂƵdž ĚĞ ds ĂƉƉůŝƋƵĠ ĞƐƚ ĚĞ Ϯϭ й͕ ĐĂůĐƵůĞ ůĞ Ɖƌŝdž ds ƋƵĞ ƉĂŝĞƌĂ ƉĂƉĂ͘ ĚͿ WĂƉĂ ƉĂŝĞ ƵŶ ĂĐŽŵƉƚĞ ůĞ ũŽƵƌ ĚĞ ů͛ĂĐŚĂƚ͘ >Ğ ƌĞƐƚĞ͕ ƐŽŝƚ ϭϴ ϬϬϬ € ĂƵƋƵĞů Ɛ͛ĂũŽƵƚĞŶƚ ĚĞƐ ĨƌĂŝƐ͕ ĞƐƚ ƉĂLJĠ ĞŶ Ϯϰ ŵĞŶƐƵĂůŝƚĠƐ ĚĞ ϳϳϮ͕ϱϬ € ĐŚĂĐƵŶĞ͘ ĂůĐƵůĞ ůĞ ƉŽƵƌĐĞŶƚĂŐĞ ĚĞƐ ĨƌĂŝƐ ƉĂƌ ƌĂƉƉŽƌƚ ă ůĂ ƐŽŵŵĞ ƌĞƐƚĂŶƚĞ ă ƉĂLJĞƌ͘ 6
ĂŶƐ ƵŶĞ ĠĐŽůĞ͕ ŽŶ Ă ĨĂŝƚ ƵŶ ƐŽŶĚĂŐĞ ƉŽƵƌ ĐŽŶŶĂŠƚƌĞ ůĞ ŵŽŶƚĂŶƚ ŚĞďĚŽŵĂĚĂŝƌĞ Ě͛ĂƌŐĞŶƚ ĚĞ ƉŽĐŚĞ ƌĞĕƵ ƉĂƌ ůĞƐ ĠůğǀĞƐ Ğƚ ů͛ƵƟ ůŝƐĂƟ ŽŶ ƋƵ͛ŝůƐ ĞŶ ĨŽŶƚ͘ sŽŝĐŝ ůĞƐ ƌĠƐƵůƚĂƚƐ ĚĞ ĐĞ ƐŽŶĚĂŐĞ͘ ^ŽŵŵĞ ƌĞĕƵĞ Ğ ϭϬ € ă ϭϰ͕ϵϵ € ͗ Ϯϰ й Ğ ϭϱ € ă ϭϵ͕ϵϵ € ͗ Ϯϴ й DŽŝŶƐ ĚĞ ϭϬ € ͗ ϯϮ й Ğ ϮϬ € ă Ϯϰ͕ϵϵ € ͗ ϲ й Ğ Ϯϱ € ă ϯϬ € ͗ ϳ й WůƵƐ ĚĞ ϯϬ € ͗ ϯ й hƟ ůŝƐĂƟ ŽŶ DĂŐĂnjŝŶĞƐ ͗ ϯϬ й Ğƚ s ͗ ϰϬ й
sġƚĞŵĞŶƚƐ ͗ ϰϮ й ĂƌƚĞƐ '^D ͗ Ϯϱ й
:ĞƵdž ǀŝĚĠŽ ͗ ϱϱ й
ŚŽŝƐŝƐ ůĞ ĚŝĂŐƌĂŵŵĞ ůĞ ŵŝĞƵdž ĂĚĂƉƚĠ ƉŽƵƌ ƌĞƉƌĠƐĞŶƚĞƌ ͗ ĂͿ ůĂ ƌĠƉĂƌƟ Ɵ ŽŶ ĚƵ ŵŽŶƚĂŶƚ ĚĞ ů͛ĂƌŐĞŶƚ ĚĞ ƉŽĐŚĞ ƌĞĕƵ ƉĂƌ ůĞƐ ũĞƵŶĞƐ ĚĞ ů͛ĠĐŽůĞര͖ ďͿ ů͛ƵƟ ůŝƐĂƟ ŽŶ ĚĞ ĐĞƚ ĂƌŐĞŶƚ ĚĞ ƉŽĐŚĞ͘ CE
1D 7 18
20
Ğ ĚŝĂŐƌĂŵŵĞ ƌĞƉƌĠƐĞŶƚĞ ůĂ ƌĠƉĂƌƟ Ɵ ŽŶ ĚĞƐ ƉĞƌƐŽŶŶĞƐ ŐƌĂǀĞŵĞŶƚ ďůĞƐƐĠĞƐ ƐƵƌ ůĞƐ ƌŽƵƚĞƐ ĚĂŶƐ ƵŶĞ ǀŝůůĞ ĞŶ ϮϬϭϲ͘ 1/4
1/6 Cyclistes Automobiliste Passagers Piétons Motocyclistes
1/12 1/18
DÉTERMINE ůĂ ĨƌĂĐƟ ŽŶ ĚĞ ƉĞƌƐŽŶŶĞƐ ǀƵůŶĠƌĂďůĞƐ ;ƉŝĠƚŽŶƐ͕ ĐLJĐůŝƐƚĞƐ Ğƚ ŵŽƚŽĐLJĐůŝƐƚĞƐͿ͘ DÉTERMINE ůĞ ŶŽŵďƌĞ ĚΖĂƵƚŽŵŽďŝůŝƐƚĞƐ ƐĂĐŚĂŶƚ ƋƵΖĂƵ ƚŽƚĂů͕ ŝů LJ Ă ϭϮϵϲ ƉĞƌƐŽŶŶĞƐ ŐƌĂǀĞŵĞŶƚ ďůĞƐƐĠĞƐ ĞŶ ϮϬϭϲ͘ JUSTIFIE ƋƵĞ ůĞƐ ĂƵƚŽŵŽďŝůŝƐƚĞƐ Ğƚ ůĞƐ ƉĂƐƐĂŐĞƌƐ ƌĞƉƌĠƐĞŶƚĞŶƚ ϱϬ й ĚĞƐ ƉĞƌƐŽŶŶĞƐ ŐƌĂǀĞŵĞŶƚ ďůĞƐƐĠĞƐ͘
?
77
3
EXERCICES COMPLÉMENTAIRES CE
1D 8 18
Chapitre 3 Traitement de données et pourcentages
20
hŶĞ ĞŶƋƵġƚĞ ĐŽŶĐĞƌŶĂŶƚ ůĞƐ ĐŚŽŝdž ĐŝŶĠŵĂƚŽŐƌĂƉŚŝƋƵĞƐ ĚΖƵŶ ŐƌŽƵƉĞ ĚĞ ũĞƵŶĞƐ ĠůğǀĞƐ Ă ĠƚĠ ƌĠĂůŝƐĠĞ͘ ŚĂƋƵĞ ũĞƵŶĞ ŶΖĂ ƉƵ ĐŚŽŝƐŝƌ ƋƵΖƵŶ ƐĞƵů ŐĞŶƌĞ Ğƚ ƋƵΖƵŶĞ ƐĞƵůĞ ĚĞƐ ƚƌŽŝƐ ƉƌŽƉŽƐŝƟ ŽŶƐ ĚĞ ŵĠĚŝĂ ͗ ͨ /ŶƚĞƌŶĞƚ ͕ͩ ͨ ŝŶĠŵĂ ͩ Ğƚ ͨ /ŶƚĞƌŶĞƚ Ğƚ ĐŝŶĠŵĂ ͩ͘ >ĞƐ ƌĠƐƵůƚĂƚƐ ĐŽƌƌĞƐƉŽŶĚĂŶƚ ĂƵdž ĐŚŽŝdž ĚĞƐ ŐĂƌĕŽŶƐ ŽŶƚ ĠƚĠ ƌĞƉƌĠƐĞŶƚĠƐ ă ůΖĂŝĚĞ ĚĞƐ ĚĞƵdž ŐƌĂƉŚŝƋƵĞƐ ĐŝͲĚĞƐƐŽƵƐ͘ Choix des garçons
Nombre d’élèves 10 9 8 7 6 5 4 3 2 1 0
3
Policier
Comédie
Fantas que
Choix des garçons
Nombre d’élèves 12 11 10 9 8 7 6 5 4 3 2 1 0
Ac on Genre
Internet
Cinéma
Internet et cinéma
Média
>ĞƐ ƌĠƐƵůƚĂƚƐ ĐŽƌƌĞƐƉŽŶĚĂŶƚ ĂƵdž ĐŚŽŝdž ĚĞƐ Į ůůĞƐ ŽŶƚ ĠƚĠ ƌĞƉƌĠƐĞŶƚĠƐ ă ůΖĂŝĚĞ ĚƵ ŐƌĂƉŚŝƋƵĞ ĐŝͲĚĞƐƐŽƵƐ͘ Choix des filles
Genre
Internet Cinéma
Ac on
Internet et cinéma Fantas que Comédie Policier 0
1
2
3
4
5
6
7
8
9
Nombre d’élèves
DÉTERMINE ůĞ ŶŽŵďƌĞ ƚŽƚĂů ĚĞ Į ůůĞƐ͘ DÉTERMINE ůĞ ŶŽŵďƌĞ ƚŽƚĂů ĚĞ ŐĂƌĕŽŶƐ͘ DÉTERMINE ůĞ ŶŽŵďƌĞ ĚĞ Į ůůĞƐ ƋƵŝ ŽŶƚ ƌĠƉŽŶĚƵ ͨ ŝŶĠŵĂ ͩ͘ DÉTERMINE Ɛŝ ůĞ ƉŽƵƌĐĞŶƚĂŐĞ ĚĞƐ ũĞƵŶĞƐ ƋƵŝ ŽŶƚ ƌĠƉŽŶĚƵ ͨ /ŶƚĞƌŶĞƚ Ğƚ ĐŝŶĠŵĂ ͩ ĞƐƚ ŵŽŝŶƐ ĠůĞǀĠ ĐŚĞnj ůĞƐ Į ůůĞƐ ŽƵ ĐŚĞnj ůĞƐ ŐĂƌĕŽŶƐ͘ ÉCRIS ƚŽƵƐ ƚĞƐ ĐĂůĐƵůƐ͘ CE
1D 9 18
20
>Ğ ƚĂďůĞĂƵ ĐŝͲĚĞƐƐŽƵƐ ƌĞƉƌĠƐĞŶƚĞ ůĂ ƌĠƉĂƌƟ Ɵ ŽŶ ĚĞƐ ϲϲ ϲϭϮ ŚĂďŝƚĂŶƚƐ ĚΖƵŶĞ ǀŝůůĞ ƉĂƌ ƚƌĂŶĐŚĞ ĚΖąŐĞ ĂƵ ϭer ũĂŶǀŝĞƌ ϮϬϭϳ͘ Âge
&ĞŵŵĞƐ
,ŽŵŵĞƐ
DŽŝŶƐ ĚĞ ϭϱ ĂŶƐ
ϲϯϯϱ
ϲϯϬϴ
Ğ ϭϱ ă Ϯϵ ĂŶƐ
ϱϴϱϴ
ϱϵϯϲ
Ğ ϯϬ ă ϰϰ ĂŶƐ
ϲϰϰϳ
ϲϮϵϵ
Ğ ϰϱ ă ϱϵ ĂŶƐ
ϲϳϮϵ
ϲϰϱϯ
Ğ ϲϬ ă ϳϰ ĂŶƐ
ϱϯϲϳ
ϰϴϮϱ
ϳϱ ĂŶƐ ŽƵ ƉůƵƐ
ϯϳϱϮ
ϮϯϬϯ
>ŽƵŝƐ Ăĸ ƌŵĞ ͗ ͨ Pour chaque tranche d'âge, les femmes sont plus nombreuses que les hommes. ͩ JUSTIFIE ƋƵĞ ůΖĂĸ ƌŵĂƟ ŽŶ ĚĞ >ŽƵŝƐ ĞƐƚ ĨĂƵƐƐĞ͘ DÉTERMINE ůĞ ƉŽƵƌĐĞŶƚĂŐĞ ĚĞ ũĞƵŶĞƐ ĚĞ ŵŽŝŶƐ ĚĞ ϭϱ ĂŶƐ ĚĂŶƐ ĐĞƩ Ğ ǀŝůůĞ͘ DÉTERMINE ƐΖŝů LJ Ă ƉůƵƐ ŽƵ ƐΖŝů LJ Ă ŵŽŝŶƐ ĚĞ ƉĞƌƐŽŶŶĞƐ ąŐĠĞƐ ĚĞ ϯϬ ă ϰϰ ĂŶƐ ƋƵĞ ĚĞ ũĞƵŶĞƐ ĚĞ ŵŽŝŶƐ ĚĞ ϭϱ ĂŶƐ͘
78
Index > ĞƐ ƌĞŶǀŽŝƐ ĚĞ ƉĂŐĞ ĞŶ ŶŽŝƌ ĐŽŶĐĞƌŶĞŶƚ ůĞƐ ĂĐƟ ǀŝƚĠƐ͘ Les renvois de page en orange concernent la théorie. A abscisse d’un point. . . . . . . ϲϲ͕ ϴϭ͕ ϵϮ͕ Ϯϰϯ͕ Ϯϰϳ͕ ϰϮ͕ ϰϳ͕ ϴϴ absorbant . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13, 167, 32, 71 ĂĚĚŝƟ ŽŶ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10, 31 ĂĚĚŝƟ ŽŶ ;ƉƌŽƉƌŝĠƚĠƐͿ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ϭϮ͕ ϴϵ͕ 32, 50 ĂĚĚŝƟ ŽŶ ĂǀĞĐ ĚĞƐ ŶŽŵďƌĞƐ ĞŶƟ ĞƌƐ . . . . . . . . . . . . . . . ϴϯ͕ ϴϲ͕ 49 adjacents (angles) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 60 aire . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .133, 61 aire d’un polygone . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26 aire latérale . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 69 aire totale . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 69 ĂŶŐůĞ ;ŶŽƚĂƟ ŽŶͿ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62 analyse de graphiques . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 70, 43 angle aigu . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26 angle de fuite . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .149, 65 ĂŶŐůĞ ĚĞ ƌŽƚĂƟ ŽŶ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 104 angle droit . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26 angle obtus . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26 angle plat. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26 angles adjacents . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 60 angles complémentaires . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 132, 60 ĂŶŐůĞƐ ƉĂƌƟ ĐƵůŝĞƌƐ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .132, 60 angles supplémentaires . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 132, 61 arête . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .147, 151, 64 ĂƐƐŽĐŝĂƟ ǀŝƚĠ ĚĞ ůĂ ŵƵůƟ ƉůŝĐĂƟ ŽŶ . . . . . . . . . . . 13, 167, 32, 70 ĂƐƐŽĐŝĂƟ ǀŝƚĠ ĚĞ ů͛ĂĚĚŝƟ ŽŶ . . . . . . . . . . . . . . . . . . . . . . . ϭϮ͕ ϴϵ͕ 32, 50 ĂdžĞ ĚĞ ƐLJŵĠƚƌŝĞ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 104, 212, ϱϮ͕ ϴϬ ĂdžŝŽŵĞ Ě͛ ƵĐůŝĚĞ. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .120, 55 B base . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 63 bissectrice d’un angle . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .130, 59 bissectrices d’un triangle . . . . . . . . . . . . . . . . . . . . . . . . . . 130, 25, 59 C calcul écrit (techniques) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 ĐĂůĐƵů ůŝƩ ĠƌĂů. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .ϭϴϯ͕ 73 calcul mental . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9, 31 calcul mental (techniques) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 caractères de divisibilité. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33, 36 ĐĂƌĂĐƚĠƌŝƐƟ ƋƵĞƐ ĚĞƐ ƋƵĂĚƌŝůĂƚğƌĞƐ . . . . . . . . . . . . . . . . . . . . 122, 54 carré . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .ϭϭϴ͕ ϭϮϬ͕ 54 carré (nombre) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Ϯϴ͕ 34 ĐĞŶƚƌĞ ĚĞ ƌŽƚĂƟ ŽŶ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 104 centre de symétrie . . . . . . . . . . . . . . . . . . . . . . . . . . . . 104, 214, 53, ϴϭ cercle . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .132, 60 ĐŚŝī ƌĞƐ ƌŽŵĂŝŶƐ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 codage . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ϭϴϯ ĐŽĞĸ ĐŝĞŶƚ ĚĞ ƉƌŽƉŽƌƟ ŽŶŶĂůŝƚĠ . . . . . . . . . . . . . . . . .224, 243, ϴϰ ĐŽŵŵƵƚĂƟ ǀŝƚĠ ĚĞ ůĂ ŵƵůƟ ƉůŝĐĂƟ ŽŶ . . . . . . . . 13, 167, 32, 70 ĐŽŵŵƵƚĂƟ ǀŝƚĠ ĚĞ ů͛ĂĚĚŝƟ ŽŶ. . . . . . . . . . . . . . . . . . . . ϭϮ͕ ϴϵ͕ 32, 50 ĐŽŵƉĂƌĂŝƐŽŶ ĚĞ ĨƌĂĐƟ ŽŶƐ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 249, 91 comparaison de nombres . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .9 ĐŽŵƉĂƌĂŝƐŽŶ ĚĞ ŶŽŵďƌĞƐ ĞŶƟ ĞƌƐ . . . . . . . . . . . . . . . . . . . . . . ϴϮ͕ ϰϴ compas. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57
complémentaires (angles) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 132, 60 concave (polygone) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 ĐŽŶƐƚƌƵĐƟ ŽŶ ;ƚƌĂŶƐĨŽƌŵĂƟ ŽŶ ĚƵ ƉůĂŶͿ . . . . 107, 213, 219, ϱϮ͕ ϴϬ ĐŽŶƐƚƌƵĐƟ ŽŶ Ě͛ƵŶĞ ďŝƐƐĞĐƚƌŝĐĞ . . . . . . . . . . . . . . . . . . . . . . . . . 130, 59 ĐŽŶƐƚƌƵĐƟ ŽŶ Ě͛ƵŶĞ ŵĠĚŝĂƚƌŝĐĞ . . . . . . . . . . . . . . . . . . . . . . . . . 130, 60 ĐŽŶƐƚƌƵĐƟ ŽŶ ĚĞ ĚƌŽŝƚĞƐ ƉĂƌĂůůğůĞƐ . . . . . . . . . . . . . . . . . . . . 120, 55 ĐŽŶƐƚƌƵĐƟ ŽŶ ĚĞ ĚƌŽŝƚĞƐ ƉĞƌƉĞŶĚŝĐƵůĂŝƌĞƐ . . . . . . . . . . 120, 56 ĐŽŶƐƚƌƵĐƟ ŽŶ ĚĞ ƚƌŝĂŶŐůĞƐ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ϭϮϴ͕ 57 ĐŽŶǀĞdžĞ ;ƉŽůLJŐŽŶĞͿ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 coordonnées (d’un point). . . . . . . . . . . . . . 65, 91, 172, 175, 42 coordonnées (vues). . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .154, 66 coordonnées et droites. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 92, 175, 51 D décimal (nombre) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ϴϴ ĚĠĐŝŵĂůĞ ;ĨƌĂĐƟ ŽŶͿ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 90 défaut (valeur approchée) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 247, 90 ĚĞŵŝͲĚƌŽŝƚĞ ;ŶŽƚĂƟ ŽŶͿ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62 dénombrement (dans les solides) . . . . . . . . . . . . . . . . . . . . 155, 64 dénombrement (suites de nombres) . . . . . 21, 50, 203, ϳϴ dénominateur . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ϴϴ développement d’un cube . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 153 développement d’un solide . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 152 diagonale d’un quadrilatère . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 diagonales (propriétés) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 124, 55 diagramme . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 59, 43 diagramme circulaire . . . . . . . . . . . . . . . . . . . . . . . . ϲϬ͕ ϲϳ͕ ϲϴ͕ ϳϭ͕ 44 diagramme en bâtons. . . . . . . . . . . . . . . . . . . . . . . . . . . . 59, 69, 70, 43 Ěŝī ĠƌĞŶĐĞ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10, 31 Ěŝī ĠƌĞŶĐĞ ĚĞ ĚĞƵdž ŶŽŵďƌĞƐ ĞŶƟ ĞƌƐ . . . . . . . . . . . . . ϴϱ͕ ϴϲ͕ 49 disque . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 60 ĚŝƐƚƌŝďƵƟ ǀŝƚĠ ;ƐŝŵƉůĞͿ . . . . . . . . . . . . . . . . . . . . . . . . . . 14, 195, 33, 76 dividende. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10, 31 diviseur . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10, 31 diviseurs (propriétés). . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34 diviseurs d’un nombre naturel . . . . . . . . . . . . . . . . . . . . . . . . . . 27, 34 divisibilité (caractères) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33, 36 ĚŝǀŝƐŝďŝůŝƚĠ ;ũƵƐƟ Į ĐĂƟ ŽŶͿ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 40, 37 divisibilité (propriétés) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 36, 34 division . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31 droit (prisme) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .146, 63 ĚƌŽŝƚĞ ;ŶŽƚĂƟ ŽŶͿ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62 droite graduée. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 243, 247 droites et coordonnées. . . . . . . . . . . . . . . . . . . . . . . . . . . . . 92, 175, 51 droites gauches . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .151, 67 droites parallèles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .120, 67 ĚƌŽŝƚĞƐ ƉĂƌĂůůğůĞƐ ;ĐŽŶƐƚƌƵĐƟ ŽŶͿ. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 55 droites perpendiculaires . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 120, 67 ĚƌŽŝƚĞƐ ƉĞƌƉĞŶĚŝĐƵůĂŝƌĞƐ ;ĐŽŶƐƚƌƵĐƟ ŽŶͿ . . . . . . . . . . . . . . . . . . . 56 droites remarquables d’un triangle . . . . . . . . . . . . . . . . . . 130, 59 droites sécantes. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .151, 67 E échelle . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .231, ϴϲ ĠŐĂůŝƚĠ ĚĞ ĨƌĂĐƟ ŽŶƐ. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .244, ϴϵ ĞŶƟ ĞƌƐ ;ĂĚĚŝƟ ŽŶ Ğƚ ƐŽƵƐƚƌĂĐƟ ŽŶͿ . . . . . . . . . . . . . . . . . ϴϯ͕ ϴϲ͕ 47 ĞŶƟ ĞƌƐ ;ĐŽŵƉĂƌĂŝƐŽŶͿ. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ϴϮ͕ ϰϴ
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INDEX ĞŶƟ ĞƌƐ ;ŶŽŵďƌĞƐͿ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ϴϭ͕ 47 ĠƋƵĂƟ ŽŶ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .191, 75 équerre aristo . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 67, 45, 55 ƵĐůŝĚĞ ;ĂdžŝŽŵĞͿ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .120, 55 ĞdžĐğƐ ;ǀĂůĞƵƌ ĂƉƉƌŽĐŚĠĞͿ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 247, 90 ĞdžƉƌĞƐƐŝŽŶ ůŝƩ ĠƌĂůĞ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .ϭϴϯ͕ 73 ĞdžƉƌĞƐƐŝŽŶ ůŝƩ ĠƌĂůĞ ;ƌĠĚƵĐƟ ŽŶͿ . . . . . . . . . . . . . . . . . . . . . . . . ϭϴϴ͕ 73 F face. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .147, 151, 64 ĨĂĐƚŽƌŝƐĂƟ ŽŶ Ě͛ƵŶ ŶŽŵďƌĞ ŶĂƚƵƌĞů . . . . . . . . . . . . . . . . . . . . . 41, 46 familles de nombres . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 201 Į ŐƵƌĞƐ ƉůĂŶĞƐ ;ŶŽƚĂƟ ŽŶ Ğƚ ƐLJŵďŽůĞƐͿ . . . . . . . . . . . . . . . . . . . . . . 62 formulaire (aires de solides) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 69 formulaire (périmètres et aires) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 61 formulaire (volumes) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ϲϴ ĨƌĂĐƟ ŽŶ. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7, 30, 241, ϴϴ ĨƌĂĐƟ ŽŶ ;ƐŝŵƉůŝĮ ĐĂƟ ŽŶͿ . . . . . . . . . . . . . . . . . . . . . . . . 30, 244, ϯϱ͕ ϴϵ ĨƌĂĐƟ ŽŶ ĚĠĐŝŵĂůĞ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .245, 90 ĨƌĂĐƟ ŽŶ ŝƌƌĠĚƵĐƟ ďůĞ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .244, ϴϵ ĨƌĂĐƟ ŽŶƐ ;ŽƉĠƌĂƟ ŽŶƐͿ . . . . . . . . . . . . . . . . . . . . . . .251, 254, 255, 92 ĨƌĂĐƟ ŽŶƐ ĠƋƵŝǀĂůĞŶƚĞƐ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .244, ϴϵ fuyante . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .149, 65 G gauches (droites) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .151, 67 ŐƌĂŶĚĞƵƌƐ ĚŝƌĞĐƚĞŵĞŶƚ ƉƌŽƉŽƌƟ ŽŶŶĞůůĞƐ. . . .224, 226, ϴϰ graphe. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .192, 75 graphique . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 59, 43 ŐƌĂƉŚŝƋƵĞ ĠǀŽůƵƟ Ĩ . . . . . . . . . . . . . . . . . . . . . . . . . . . . 59, 66, 69, 72, 43 H hauteur (prisme droit) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .146, 64 hauteurs d’un triangle . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 130, 25, 59 I image d’un point. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ϴϬ invariant . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .217, ϴϮ ŝƌƌĠĚƵĐƟ ďůĞ ;ĨƌĂĐƟ ŽŶͿ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 244 isométrie . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 52 L ligne d’horizon. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 65 ůŝƩ ĠƌĂů ;ĐĂůĐƵůͿ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .ϭϴϯ͕ 73 ůŽŶŐƵĞƵƌ ;ŶŽƚĂƟ ŽŶͿ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62 losange . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .ϭϭϴ͕ ϭϮϬ͕ 54 M médiane d’un quadrilatère . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 médianes d’un triangle . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 130, 25, 59 médiatrices d’un triangle . . . . . . . . . . . . . . . . . . . . . . . . . . 130, 25, 59 mesure d’un angle . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 67, 45 mise en évidence . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15, 197, 33, 76 ŵƵůƟ ƉůĞƐ ;ƉƌŽƉƌŝĠƚĠƐͿ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3, 36 ŵƵůƟ ƉůĞƐ Ě͛ƵŶ ŶŽŵďƌĞ ŶĂƚƵƌĞů . . . . . . . . . . . . . . . . . . . . . . . . . 30, 35 ŵƵůƟ ƉůŝĐĂƟ ŽŶ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31 ŵƵůƟ ƉůŝĐĂƟ ŽŶ ;ƉƌŽƉƌŝĠƚĠƐͿ. . . . . . . . . . . . . . . . . . . . 13, 167, 32, 70 ŵƵůƟ ƉůŝĐĂƟ ŽŶ ĚĞ ĚĞƵdž ĞŶƟ ĞƌƐ . . . . . . . . . . . . . . . . . . . . . . . . . 165, 70
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N ŶĞƵƚƌĞ ƉŽƵƌ ůĂ ŵƵůƟ ƉůŝĐĂƟ ŽŶ . . . . . . . . . . . . . . . . 13, 167, 32, 71 ŶĞƵƚƌĞ ƉŽƵƌ ů͛ĂĚĚŝƟ ŽŶ. . . . . . . . . . . . . . . . . . . . . . . . . . . . ϭϮ͕ ϴϵ͕ 32, 50 nombre carré . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Ϯϴ͕ 34 nombre décimal . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ϴϴ nombre premier . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Ϯϴ͕ ϯϯ͕ 34 nombres (familles) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 201 ŶŽŵďƌĞƐ ĞŶƟ ĞƌƐ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ϴϭ͕ 47 nombres opposés . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ϴϮ͕ ϰϴ ŶŽƚĂƟ ŽŶƐ Ğƚ ƐLJŵďŽůĞƐ ĞŶ ŐĠŽŵĠƚƌŝĞ. . . . . . . . . . . . . . . . . . . . . . . . 62 numérateur. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ϴϴ ŶƵŵĠƌĂƟ ŽŶ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .7 O ŽƉĠƌĂƚĞƵƌ ;ĨƌĂĐƟ ŽŶͿ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .241, ϴϴ ŽƉĠƌĂƟ ŽŶƐ ƐƵƌ ůĞƐ ĨƌĂĐƟ ŽŶƐ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 92 ŽƉƉŽƐĠ Ě͛ƵŶĞ Ěŝī ĠƌĞŶĐĞ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 199, 77 opposé d’une somme . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .199, 77 opposés (nombres) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ϴϮ͕ ϴϵ͕ ϰϴ ordonnée (d’un point) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 66, 92, 42 organigramme des quadrilatères . . . . . . . . . . . . . . . . . . . . . 121, 54 orthographe des nombres. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .9 P ƉĂƌĂůůğůĞ ;ŶŽƚĂƟ ŽŶͿ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62 parallèles (droites) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .120, 67 parallélogramme . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .ϭϭϴ͕ ϭϮϬ͕ 54 parenthèses (suppression) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 199, 77 partage . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .241, ϴϴ périmètre (formulaire). . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 133, 61 périmètre d’un polygone . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 133, 26 ƉĞƌƉĞŶĚŝĐƵůĂŝƌĞ ;ŶŽƚĂƟ ŽŶͿ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62 perpendiculaires (droites) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 120, 67 ƉĞƌƐƉĞĐƟ ǀĞ ă ĚĞƵdž ƉŽŝŶƚƐ ĚĞ ĨƵŝƚĞ. . . . . . . . . . . . . . . . . . . . ϭϰϴ͕ 65 ƉĞƌƐƉĞĐƟ ǀĞ ă ƵŶ ƉŽŝŶƚ ĚĞ ĨƵŝƚĞ . . . . . . . . . . . . . . . . . . . . . . . . 147, 65 ƉĞƌƐƉĞĐƟ ǀĞ ĐĂǀĂůŝğƌĞ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .147, 65 PGCD . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29, 244, ϯϱ͕ ϴϵ plan . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .151, 65 plus grand commun diviseur . . . . . . . . . . . . . . . . 29, 244, ϯϱ͕ ϴϵ ƉůƵƐ ƉĞƟ ƚ ĐŽŵŵƵŶ ŵƵůƟ ƉůĞ . . . . . . . . . . . . . . . . . 31, 255, 36, 94 ƉŽŝŶƚ ;ŶŽƚĂƟ ŽŶͿ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62 polyèdre . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .146, 63 polygone . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 pourcentage. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 61, 41 PPCM . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31, 255, 36, 94 premier (nombre) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Ϯϴ͕ ϯϯ͕ 34 ƉƌŝŽƌŝƚĠƐ ĚĞƐ ŽƉĠƌĂƟ ŽŶƐ 17, 45, 170, 190, 33, 41, 71, 75 prisme droit . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .146, 63 ƉƌŽďůğŵĞƐ ;ĨƌĂĐƟ ŽŶƐͿ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Ϯϱϴ ƉƌŽďůğŵĞƐ ;ŶŽŵďƌĞƐ ĞŶƟ ĞƌƐͿ . . . . . . . . . . . . . . . . . . . . . . . . . . 94, 173 problèmes (périmètres et aires) . . . . . . . . . . . . . . . . . . . . . . . . . . . . 133 problèmes (pourcentage). . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62 ƉƌŽďůğŵĞƐ ;ƌğŐůĞ ĚĞ ƚƌŽŝƐ͕ ƉƌŽƉŽƌƟ ŽŶŶĂůŝƚĠͿ . . . . . . . . . . . 229 problèmes (solides) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 156 problèmes (volumes). . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 156 produit . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10, 31 ƉƌŽĚƵŝƚ ĂůŐĠďƌŝƋƵĞ ;ƌĠĚƵĐƟ ŽŶͿ. . . . . . . . . . . . . . . . . . . . . . . . . ϭϴϲ͕ 74 ƉƌŽĚƵŝƚ ĚĞ ĚĞƵdž ŶŽŵďƌĞƐ ĞŶƟ ĞƌƐ . . . . . . . . . . . . . . . . . . . . . 165, 70 ƉƌŽĚƵŝƚ ĚĞ ĨƌĂĐƟ ŽŶƐ. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .251, 92 ƉƌŽĚƵŝƚ ĚĞ ŶŽŵďƌĞƐ ĚĠĐŝŵĂƵdž . . . . . . . . . . . . . . . . . . . . . . . . . 251, 93 ƉƌŽƉŽƌƟ ŽŶŶĂůŝƚĠ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .224, ϴϰ
INDEX ƉƌŽƉŽƌƟ ŽŶŶĂůŝƚĠ ;ĐŽĞĸ ĐŝĞŶƚͿ . . . . . . . . . . . . . . . . . . . . . . . . . . 224, ϴϰ ƉƌŽƉŽƌƟ ŽŶŶĂůŝƚĠ ;ƚĂďůĞĂƵͿ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 224, ϴϰ ƉƌŽƉƌŝĠƚĠƐ ĚĞ ůĂ ŵƵůƟ ƉůŝĐĂƟ ŽŶ . . . . . . . . . . . . . . 13, 167, 32, 70 ƉƌŽƉƌŝĠƚĠƐ ĚĞ ů͛ĂĚĚŝƟ ŽŶ. . . . . . . . . . . . . . . . . . . . . . . . . . ϭϮ͕ ϴϵ͕ 32, 50 propriétés des diagonales . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 124, 55 propriétés des droites parallèles . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ϲϴ propriétés des droites perpendiculaires . . . . . . . . . . . . . . . . . . . ϲϴ propriétés des quadrilatères. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 122 ƉƵŝƐƐĂŶĐĞ Ě͛ƵŶ ŶŽŵďƌĞ ĞŶƟ Ğƌ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ϭϲϴ puissance d’un nombre naturel . . . . . . . . . . . . . . . . . . . . . . . . 42, ϯϴ puissances de 10 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 44 pyramide . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .152, 63 Q quadrilatère . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ϭϭϴ͕ 25, 54 ƋƵŽƟ ĞŶƚ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10, 31 ƋƵŽƟ ĞŶƚ ĚĞ ĨƌĂĐƟ ŽŶƐ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .254, 93 ƋƵŽƟ ĞŶƚ ĚĞ ŶŽŵďƌĞƐ ĚĠĐŝŵĂƵdž . . . . . . . . . . . . . . . . . . . . . . . 254, 93 R rapport . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ϴϴ ƌĂƉƉŽƌƚ ;ĨƌĂĐƟ ŽŶͿ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 243 ƌĂƉƉŽƌƚ ĚĞ ƌĠĚƵĐƟ ŽŶ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .149, 65 rapport interne . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .224, ϴϰ rapporteur . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 67, 45 rectangle . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .ϭϭϴ͕ ϭϮϬ͕ 54 ƌĠĚƵĐƟ ŽŶ ;ƌĂƉƉŽƌƚͿ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .149, 65 ƌĠĚƵĐƟ ŽŶ ĂƵ ŵġŵĞ ĚĠŶŽŵŝŶĂƚĞƵƌ. . . . . . . . . . . . . . . . . . . 256, 94 ƌĠĚƵĐƟ ŽŶ Ě͛ƵŶ ƉƌŽĚƵŝƚ ĂůŐĠďƌŝƋƵĞ. . . . . . . . . . . . . . . . . . . . ϭϴϲ͕ 74 ƌĠĚƵĐƟ ŽŶ Ě͛ƵŶĞ ƐŽŵŵĞ ĂůŐĠďƌŝƋƵĞ . . . . . . . . . . . . . . . . . . ϭϴϳ͕ 73 règle de trois . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .229, ϴϱ règle des signes successifs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ϴϳ͕ 49 repérage d’un point . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 64, 91, 42, 47 repère cartésien . . . . . . . . . . . . . . . . . . . . . . . . . . 65, 91, 172, 175, 42 report d’angle. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46 ƌĞƉƌĠƐĞŶƚĂƟ ŽŶ ĚĞ ĚŽŶŶĠĞƐ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ϲϴ ƌĞƉƌĠƐĞŶƚĂƟ ŽŶ ĚĞ ƐŽůŝĚĞƐ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 147, 65 ƌŽƚĂƟ ŽŶ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 103, 212 S ƐĠĐĂŶƚ ;ŶŽƚĂƟ ŽŶͿ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62 sécantes (droites) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .151, 67 ƐĞŐŵĞŶƚ ;ŶŽƚĂƟ ŽŶͿ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 62 semblables (termes) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .ϭϴϰ͕ 73 signe d’une puissance. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ϭϲϴ signe d’un produit . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .165, 71
ƐŝŵƉůŝĮ ĐĂƟ ŽŶ ;ĨƌĂĐƟ ŽŶͿ . . . . . . . . . . . . . . . . . . . . . . . . 30, 244, ϯϱ͕ ϴϵ solides . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .145, 63 somme . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10, 31 ƐŽŵŵĞ ĂůŐĠďƌŝƋƵĞ ;ƌĠĚƵĐƟ ŽŶͿ . . . . . . . . . . . . . . . . . . . . . . . . ϭϴϰ͕ 73 ƐŽŵŵĞ ĚĞ ĚĞƵdž ŶŽŵďƌĞƐ ĞŶƟ ĞƌƐ . . . . . . . . . . . . . . . . . ϴϯ͕ ϴϲ͕ 49 ƐŽŵŵĞ ĚĞ ŶŽŵďƌĞƐ ĚĠĐŝŵĂƵdž . . . . . . . . . . . . . . . . . . . . . . . . . Ϯϱϴ͕ 95 ƐŽŵŵĞ Ğƚ Ěŝī ĠƌĞŶĐĞ ĚĞ ĨƌĂĐƟ ŽŶƐ. . . . . . . . . . . . . . . . . . . . . 255, 94 sommet . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .147, 151, 63 ƐŽƵƐƚƌĂĐƟ ŽŶ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10, 31 ƐŽƵƐƚƌĂĐƟ ŽŶ ĂǀĞĐ ĚĞƐ ŶŽŵďƌĞƐ ĞŶƟ ĞƌƐ . . . . . . . . . ϴϱ͕ ϴϲ͕ 49 ƐƵŝƚĞ ĚĞ Į ŐƵƌĞƐ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 21, 50, 203, ϳϴ supplémentaires (angles) . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 132, 61 suppression de parenthèses . . . . . . . . . . . . . . . . . . . . . . . . . . . . 199, 77 ƐLJŵďŽůĞƐ Ğƚ ŶŽƚĂƟ ŽŶƐ ĞŶ ŐĠŽŵĠƚƌŝĞ. . . . . . . . . . . . . . . . . . . . . . . . 62 symétrie centrale . . . . . . . . . . . . . . . . . . . . . . . ϭϬϯ͕ ϭϬϴ͕ Ϯϭϰ͕ ϱϯ͕ ϴϭ symétrie orthogonale . . . . . . . . . . . . . . . . . 103, 107, 212, ϱϮ͕ ϴϬ ƐLJŵĠƚƌŝƐĂďůĞ ;ĂĚĚŝƟ ŽŶͿ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ϴϵ͕ 50 T ƚĂďůĞĂƵ ĚĞ ƉƌŽƉŽƌƟ ŽŶŶĂůŝƚĠ . . . . . . . . . . . . . . . . . . . . . . . . . . . . 224, ϴϰ ƚĂďůĞƐ ĚĞ ŵƵůƟ ƉůŝĐĂƟ ŽŶ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 termes semblables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .ϭϴϰ͕ 73 ƚƌĂŶƐĨŽƌŵĂƟ ŽŶ ĚƵ ƉůĂŶ . . . . . . . . . . . . . . . . . . . . . . 101, 211, ϱϮ͕ ϴϬ ƚƌĂŶƐĨŽƌŵĂƟ ŽŶ ĚƵ ƉůĂŶ ;ĐŽŶƐƚƌƵĐƟ ŽŶͿ . . . . 107, 213, 219, ϱϮ͕ ϴϬ ƚƌĂŶƐůĂƟ ŽŶ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 103, 109, 215, ϱϯ͕ ϴϭ trapèze . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .119, 120, 54 triangle . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 126, 25, 56 ƚƌŝĂŶŐůĞ ;ĐŽŶƐƚƌƵĐƟ ŽŶͿ . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .ϭϮϴ͕ 57 triangle acutangle . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .126, 56 triangle équilatéral . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .126, 56 triangle isocèle . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .126, 56 triangle obtusangle . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .126, 56 triangle rectangle. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .126, 56 triangle scalène . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .126, 56 U unités de mesure . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19 V valeur absolue . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . ϴϮ͕ ϰϴ valeur approchée . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .247, 90 valeur numérique . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .ϭϳϮ͕ ϭϴϲ͕ 73 vecteur . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 104, 215, ϱϯ͕ ϴϭ volume d’un solide . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Ϯϴ vues coordonnées . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .154, 66
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