CHINH PHỤC KÌ THI VÀO 10 MÔN TOÁN ( CHUYÊN)

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Các bạn ộc giả thân mến! ĈӕL YӟL WҩW Fҧ QKӳQJ QJѭӡL \rX WKtFK P{Q 7RiQ WKu YLӋF WuP UD OӡL JLҧL FKR PӝW EjL WұS NKy KD\ NKiP SKi UD PӝW SKѭѫQJ SKiS JLҧL PӟL QKDQK KѫQ Yj ÿѫQ JLҧQ KѫQ FKR PӝW GҥQJ EjL NKy OX{Q PDQJ OҥL FҧP JLiF VXQJ VѭӟQJ Yj KҥQK SK~F Y{ F QJ WұQ Pj FKӍ QKӳQJ QJѭӡL \rX WKtFK Yj NKDR NKiW FKLQK SKөF QKӳQJ ÿӍQK Q~L FӫD NKRD KӑF Wӵ QKLrQ PӟL KLӇX ÿѭӧF Ĉy Oj FҧP JLiF JLӕQJ QKѭ QKj EiF KӑF ÈF VL PpW ÿm WӯQJ WURQJ JLӡ SK~W VXQJ VѭӟQJ Yj PXӕQ WK{QJ EiR YӟL Fҧ WKӃ JLӟL NKL SKiW KLӋQ UD OӵF ÿҭ\ FӫD FKҩW OӓQJ YөW NKӓL EӗQ WҳP Yj FKҥ\ NKҳS SKӕ SKѭӡQJ WURQJ WuQK WUҥQJ NK{QJ PӝW PҧQK YҧL FKH WKkQ 1KѭQJ KjQK WUuQK ÿӃQ YӟL ÿӍQK YLQK TXDQJ WKӓD PmQ NKDR NKiW NKiP SKi WUL WKӭF FKҳF KҷQ PӛL FK~QJ WD ÿӅX ELӃW FzQ Y{ YjQ QKӳQJ NKy NKăQ Yj WKiFK WKӭF ÿDQJ FKӡ ÿӧL FK~QJ WD ĈӕL YӟL KӑF VLQK OӟS QKӳQJ KӑF VLQK ÿDQJ FKXҭQ Eӏ EѭӟF TXD TXi WUuQK YѭӧW ³9NJ 0{Q´ ÿҫX WLrQ WURQJ KjQK WUuQK WUL WKӭF FӫD PuQK Yj FiQK FәQJ FӫD FiF WUѭӡQJ FKX\rQ ÿDQJ UӝQJ Pӣ ÿӇ FKӡ ÿӧL FiF HP EѭӟF YjR G ÿDQJ WURQJ WkP WKӃ WUjQ ÿҫ\ Wӵ WLQ Yj VmQ VjQJ YѭӧW TXD WҩW Fҧ QKӳQJ FKѭӟQJ QJҥL WURQJ KjQK WUuQK WUL WKӭF FӫD PuQK QKѭQJ FKҳF FKҳQ WURQJ PӝW JLӡ SK~W QjR ÿy FiF HP NK{QJ WUiQK NKӓL QKӳQJ EӕL UӕL OR kX WUѭӟF NKӕL OѭӧQJ NLӃQ WKӭF NKәQJ Oӗ QKӳQJ F{QJ WKӭF SKӭF WҥS Yj Vӕ OѭӧQJ GҥQJ EjL WұS OӟQ YӟL SKѭѫQJ SKiS JLҧL UӕL UҳP +LӇX ÿѭӧF WkP Oê FӫD FӫD FiF HP Yj NKDR NKiW ÿӗQJ KjQK F QJ QKӳQJ QKkQ WjL WѭѫQJ ODL FӫD ÿҩW QѭӟF QKyP WiF JLҧ FK~QJ W{L ÿm NӃW KӧS F QJ &&%RRN [XҩW EҧQ FXӕQ ViFK &KLQK SKͽF NǤ WKL YjR FKX\rQ P{Q 7RiQ Ĉk\ Oj FXӕQ ViFK &KX\rQ 7RiQ ÿҫX WLrQ ÿHP ÿӃQ FKR FiF HP FiFK WLӃS FұQ PӟL YӟL FiF ÿѫQ Yӏ NLӃQ WKӭF Oê WKX\ӃW TXD ӭQJ GөQJ ,1)2*5$3+,& 7K{QJ TXD YLӋF [ӱ Oê FiF ÿѫQ Yӏ NLӃQ WKӭF EҵQJ ӭQJ GөQJ ,1)2*5$3+,& FiF NLӃQ WKӭF SKӭF WҥS ÿѭӧF WUuQK Ej\ PӝW FiFK KӋ WKӕQJ U} UjQJ Yj WUӵF TXDQ WK{QJ TXD YLӋF NӃW KӧS P{ Wҧ EҵQJ KuQK ҧQK 9ӟL FXӕQ ViFK Qj\ FiF HP NK{QJ FzQ SKҧL +ӑF ÿL KӑF OҥL PӝW ÿѫQ Yӏ NLӃQ WKӭF /RD\ KRD\ ÿӇ KLӇX Yj JKL QKӟ FiF NLӃQ WKӭF SKӭF WҥS 0j FiF ÿѫQ Yӏ NLӃQ WKӭF VӁ WUӣ QrQ 'Ӊ KLӇX GӉ JKL QKӟ +LӇX VkX KLӇX ÿѭӧF EҧQ FKҩW FӫD FiF ÿѫQ Yӏ NLӃQ WKӭF 0DQJ WtQK KӋ WKӕQJ Fy OLrQ NӃW 1JRjL PRQJ PXӕQ KӋ WKӕQJ KyD QKӳQJ ÿѫQ Yӏ NLӃQ WKӭF PӝW FiFK ÿҫ\ ÿӫ Yj GӉ KLӇX QKҩW WKu JҳQ OLӅQ YӟL FiF ÿѫQ Yӏ NLӃQ WKӭF Oj FiF Yt Gө PLQK KӑD Yj ÿһF ELӋW WUӑQJ WkP FӫD FXӕQ ViFK Qj\ Oj KӋ WKӕQJ FiF EjL WұS Wӵ OX\ӋQ YӟL ÿҫ\ ÿӫ FiF GҥQJ EjL NLӇX EjL YӟL FiF SKѭѫQJ SKiS JLҧL NKiF QKDX YӟL WӯQJ GҥQJ EjL NLӇX EjL Fy WKӇ Fy WKHR WӯQJ ÿѫQ Yӏ NLӃQ WKӭF Oê WKX\ӃW ĈӗQJ

III


WKӡL WURQJ FXӕQ ViFK Qj\ FK~QJ W{L FzQ WәQJ KӧS FiF EjL WұS Yt Gө Wӯ ÿӅ WKL FKX\rQ FӫD FiF WUѭӡQJ FKX\rQ WUrQ NKҳS Fҧ QѭӟF JL~S FiF HP WLӃS FұQ {Q OX\ӋQ WKXұQ WLӋQ Yj KLӋX TXҧ QKҩW &XӕQ ViFK &KLQK SKͽF NǤ WKL YjR FKX\rQ P{Q 7RiQ JӗP Fy SKҫQ YӟL WәQJ Vӕ FKX\rQ ÿӅ 7URQJ PӛL FKX\rQ ÿӅ ÿӅX KӋ WKӕQJ OҥL FiF QӝL GXQJ NLӃQ WKӭF Oê WKX\ӃW WUӑQJ WұS FiF GҥQJ WRiQ NqP SKѭѫQJ SKiS JLҧL &ө WKӇ QKѭ VDX 3+Ҫ1 ĈҤ, 6Ӕ &KX\rQ ÿӅ %LӇX WKӭF ÿҥL Vӕ Yj FiF YҩQ ÿӅ OLrQ TXDQ &KX\rQ ÿӅ 3KѭѫQJ WUuQK KӋ SKѭѫQJ WUuQK &KX\rQ ÿӅ +jP Vӕ EұF QKҩW KjP Vӕ EұF KDL Yj ÿӗ WKӏ &KX\rQ ÿӅ %ҩW ÿҷQJ WKӭF ± FӵF WUӏ &KX\rQ ÿӅ 0ӝW Vӕ EjL WRiQ QkQJ FDR NKiF 3+Ҫ1 +Î1+ +Ӑ& &KX\rQ ÿӅ ĈӏQK Ot 7D OpW WDP JLiF ÿӗQJ GҥQJ Yj FiF EjL WRiQ OLrQ TXDQ &KX\rQ ÿӅ +Ӌ WKӭF OѭӧQJ WURQJ WDP JLiF YX{QJ &KX\rQ ÿӅ ĈѭӡQJ WUzQ &KX\rQ ÿӅ *yF YӟL ÿѭӡQJ WUzQ &KX\rQ ÿӅ +uQK WUө ± +uQK QyQ ± +uQK FҫX &KX\rQ ÿӅ &iF EjL WRiQ QkQJ FDR WKѭӡQJ JһS ĈӕL WѭӧQJ FӫD FXӕQ ViFK KѭӟQJ WӟL Oj WҩW Fҧ QKӳQJ EҥQ ÿӝF JLҧ Fy QKX FҫX WuP NLӃP Yj WUDX GӗL NLӃQ WKӭF WәQJ KӧS WK{QJ WLQ ÿһF ELӋW Oj QKӳQJ EҥQ KӑF VLQK OӟS FKXҭQ Eӏ WKL YjR OӟS ӣ FiF WUѭӡQJ FKX\rQ NKӕL FKX\rQ Pj FKѭD WӯQJ ÿѭӧF WLӃS FұQ YӟL FiF GҥQJ WRiQ QkQJ FDR &XӕQ ViFK VӁ JL~S FiF HP QҳP YӳQJ PҧQJ NLӃQ WKӭF Fѫ EҧQ Yj EѭӟF ÿҫX WLӃS FұQ WKӱ VӭF YӟL FiF QӝL GXQJ NLӃQ WKӭF QkQJ FDR &K~QJ W{L K\ YӑQJ FXӕQ ViFK VӁ Oj PӝW QJXӗQ WjL OLӋX TXt JLi ÿӕL YӟL FiF HP KӑF VLQK WUrQ FRQ ÿѭӡQJ KӑF WұS Fy WKӇ WUX\ӅQ FҧP KӭQJ ÿӇ FiF HP WLӃS WөF QLӅP ÿDP Pr YӟL P{Q KӑF Yj ÿһF ELӋW JL~S FiF HP ÿҥW ÿѭӧF QJX\ӋQ YӑQJ WKL ÿӛ YjR OӟS FKX\rQ 7RiQ &K~QJ W{L FNJQJ PRQJ ÿk\ Oj FXӕQ ViFK WKLӃW WKӵF ÿӕL YӟL FiF EҥQ ÿӗQJ QJKLӋS WURQJ TXi WUuQK JLҧQJ Gҥ\ 7URQJ TXi WUuQK ELrQ VRҥQ FK~QJ W{L NK{QJ WUiQK NKӓL PӝW Vӕ WKLӃX VyW UҩW PRQJ QKұQ ÿѭӧF Vӵ ÿyQJ JyS ê NLӃQ FӫD FiF ÿӗQJ QJKLӋS Yj FiF HP KӑF VLQK ÿӇ FXӕQ ViFK KRjQ WKLӋQ KѫQ WURQJ QKӳQJ OҫQ [XҩW EҧQ VDX 7KD\ PһW QKyP ELrQ VRҥQ FK~QJ W{L [LQ WUkQ WUӑQJ FҧP ѫQ ÿӝF JLҧ ÿm ÿyQ QKұQ ÿӭD FRQ WLQK WKҫQ FӫD FK~QJ W{L

Chúc em sẽ dễ dàng chinh phục ược ước mơ! IV


MỤC LỤC PHẦN 1: ĐẠI SỐ &+8<Ç1 Ĉӄ %,ӆ8 7+Ӭ& ĈҤ, 6Ӕ 9¬ &È& 9Ҩ1 Ĉӄ /,Ç1 48$1 &+8<Ç1 Ĉӄ 3+ѬѪ1* 75Î1+ +ӊ 3+ѬѪ1* 75Î1+ &Kӫ ÿӅ 3KѭѫQJ WUuQK KӋ SKѭѫQJ WUuQK EұF QKҩW KDL ҭQ &Kӫ ÿӅ 3KѭѫQJ WUuQK EұF KDL &Kӫ ÿӅ *LҧL WRiQ EҵQJ FiFK OұS SKѭѫQJ WUuQK KӋ SKѭѫQJ WUuQK &Kӫ ÿӅ 3KѭѫQJ WUuQK QJKLӋP QJX\rQ &Kӫ ÿӅ 3KѭѫQJ WUuQK EұF FDR &Kӫ ÿӅ 3KѭѫQJ WUuQK Y{ WӍ &Kӫ ÿӅ +Ӌ SKѭѫQJ WUuQK NK{QJ PүX PӵF &+8<Ç1 Ĉӄ +¬0 6Ӕ %Ұ& 1+Ҩ7 +¬0 6Ӕ %Ұ& +$, 9¬ ĈӖ 7+ӎ &+8<Ç1 Ĉӄ %Ҩ7 ĈҶ1* 7+Ӭ& ± &Ӵ& 75ӎ &+8<Ç1 Ĉӄ 0Ӝ7 6Ӕ %¬, 72È1 1Æ1* &$2 .+È&

PHẦN II: HÌNH HỌC &+8<Ç1 Ĉӄ Ĉӎ1+ /Ë 7$ /(7 7$0 *,È& ĈӖ1* 'Ҥ1* 9¬ &È& %¬, 72È1 /,Ç1 48$1 &Kӫ ÿӅ ĈӏQK Ot 7DOHW &Kӫ ÿӅ 7DP JLiF ÿӗQJ GҥQJ &Kӫ ÿӅ &iF EjL WRiQ WKӵF WӃ &+8<Ç1 Ĉӄ +ӊ 7+Ӭ& /ѬӦ1* 7521* 7$0 *,È& 98Ð1* &Kӫ ÿӅ +Ӌ WKӭF YӅ FҥQK Yj ÿѭӡQJ FDR WURQJ WDP JLiF YX{QJ &Kӫ ÿӅ 7Ӎ Vӕ OѭӧQJ JLiF FӫD JyF QKӑQ +Ӌ WKӭF YӅ FҥQK WURQJ WDP JLiF YX{QJ &Kӫ ÿӅ &iF EjL WRiQ KuQK KӑF WKӵF WӃ &+8<Ç1 Ĉӄ ĈѬӠ1* 75Ñ1 &Kӫ ÿӅ 6ӵ [iF ÿӏQK ÿѭӡQJ WUzQ Yj WtQK FKҩW ÿӕL [ӭQJ FӫD ÿѭӡQJ WUzQ &Kӫ ÿӅ 9ӏ WUt WѭѫQJ ÿӕL FӫD ÿѭӡQJ WKҷQJ Yj ÿѭӡQJ WUzQ &Kӫ ÿӅ 7LӃS WX\ӃQ FӫD ÿѭӡQJ WUzQ 7tQK FKҩW KDL WLӃS WX\ӃQ FҳW QKDX &Kӫ ÿӅ 9ӏ WUt WѭѫQJ ÿӕL FӫD KDL ÿѭӡQJ WUzQ

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&+8<Ç1 Ĉӄ *Ï& 9Ӟ, ĈѬӠ1* 75Ñ1 &Kӫ ÿӅ *yF YӟL ÿѭӡQJ WUzQ &Kӫ ÿӅ 7ӭ JLiF QӝL WLӃS &Kӫ ÿӅ ĈѭӡQJ WUzQ QJRҥL WLӃS ÿѭӡQJ WUzQ QӝL WLӃS &+8<Ç1 Ĉӄ +Î1+ 75Ө +Î1+ 1Ï1 ±+Î1+ &Ҫ8 &+8<Ç1 Ĉӄ &È& %¬, 72È1 1Æ1* &$2 7+ѬӠ1* *Һ3 &Kӫ ÿӅ &iF EjL WRiQ YӅ WKҷQJ KjQJ ÿӗQJ TX\ Yj ÿӗQJ YLrQ &Kӫ ÿӅ &iF EjL WRiQ KuQK KӑF Fy \ӃX Wӕ FKX\ӇQ ÿӝQJ &Kӫ ÿӅ &iF EjL WRiQ FKӭQJ PLQK ÿҷQJ WKӭF KuQK KӑF &Kӫ ÿӅ &iF EjL WRiQ FӵF WUӏ KuQK KӑF

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