最詳細(xì)的解析幾何全解

1、1.近三年高考各試卷解析幾何考查情況統(tǒng)計(jì) 2005年高考各地的16套試卷中，每套試卷均有1道解析幾何解答題試題，涉及橢圓的有9道，涉及雙曲線的有2道，涉及拋物線的有3道，涉及直線與圓的有3道，涉及線性規(guī)劃的有1道.當(dāng)中，求最值的有4道，求參數(shù)的取值范圍的有4道，求軌跡方程的有5道，和向量綜合的有7道，探索性的問(wèn)題有5道. 2006年高考各地的18套試卷里，每套均有1道解答試題，涉及橢圓的有9道，拋物線的有4道，雙曲線的有5道.當(dāng)中求動(dòng)點(diǎn)的軌跡，求參數(shù)的取值范圍是熱門話題.重慶的解析幾何、數(shù)列、不等式證明相結(jié)合的試題比較獨(dú)特.2007年高考各地的19套試卷中，每套均有1道解答題，橢圓的有8道，雙

2、曲線的有4道，拋物線的3道，涉及到圓錐曲線中的最值問(wèn)題、軌跡問(wèn)題、中點(diǎn)弦問(wèn)題等.解析幾何解答試題熱點(diǎn)的題型是求參數(shù)范圍或求最值的綜合性問(wèn)題，探求動(dòng)點(diǎn)的軌跡問(wèn)題，有關(guān)定值、定點(diǎn)等的證明問(wèn)題，與向量綜合的探索性問(wèn)題等.2.考查特點(diǎn)(1)由已知條件建立曲線的方程，研究曲線的性質(zhì).用待定系數(shù)法確定圓錐曲線的標(biāo)準(zhǔn)方程，求它們的焦點(diǎn)、焦距、準(zhǔn)線、離心率等元素，研究幾何性質(zhì).(2)直線與圓錐曲線的位置關(guān)系是高考重點(diǎn)考查內(nèi)容之一，主要討論直線和圓錐曲線的公共點(diǎn)問(wèn)題，求弦長(zhǎng)、焦點(diǎn)弦長(zhǎng)及中點(diǎn)等問(wèn)題.(3)有關(guān)解析幾何的最值問(wèn)題、曲線方程中含字母參數(shù)的范圍問(wèn)題以及對(duì)稱問(wèn)題是高考中經(jīng)常出現(xiàn)的內(nèi)容，涉及知識(shí)面廣，常用到

3、函數(shù)、不等式和三角等方面的知識(shí).(4)有關(guān)探索性題型，因?yàn)樗哂锌疾樗季S能力、區(qū)分度較高的功能，所以經(jīng)常結(jié)合其它章節(jié)的知識(shí)點(diǎn)出現(xiàn)在高考試題中.(5)平面向量和解析幾何結(jié)合，已成為高考新的熱點(diǎn).(6)解析幾何部分仍在考查基礎(chǔ)知識(shí)的基礎(chǔ)上，注重對(duì)數(shù)學(xué)思想方法的考查，注重對(duì)數(shù)學(xué)能力的考查，以邏輯思維能力為核心，全面考查其它各種能力，強(qiáng)調(diào)探索性、綜合性，應(yīng)用性，切合考生的實(shí)際，注重試題的層次性，合理調(diào)控綜合程度，堅(jiān)持多角度、多層次的考查.1.突出解析幾何的基本思想 解析幾何的實(shí)質(zhì)是用代數(shù)方法研究幾何問(wèn)題，通過(guò)曲線的方程研究曲線的性質(zhì)，因此要掌握求曲線方程的思路和方法，它是解析幾何的核心之一.求曲線的方

4、程的常用方法有兩類： 一類是曲線形狀明確，方程形式已知(如直線、圓、圓錐曲線的標(biāo)準(zhǔn)方程等)，常用待定系數(shù)法求方程.另一類是曲線形狀不明確或不便于用標(biāo)準(zhǔn)形式表示，一般采用以下方法：（1）直譯法：將原題中由文字語(yǔ)言明確給出動(dòng)點(diǎn)所滿足的等量關(guān)系直接翻譯成由動(dòng)點(diǎn)坐標(biāo)表示的等量關(guān)系式.（2）代入法：所求動(dòng)點(diǎn)與已知?jiǎng)狱c(diǎn)有著相互關(guān)系，可用所求動(dòng)點(diǎn)坐標(biāo)（x,y）表示出已知?jiǎng)狱c(diǎn)的坐標(biāo)，然后代入已知的曲線方程.（3）參數(shù)法：通過(guò)一個(gè)（或多個(gè)）中間變量的引入，使所求點(diǎn)的坐標(biāo)之間的關(guān)系更容易確立，消去參數(shù)得坐標(biāo)的直接關(guān)系便是普通方程.（4）交軌法：動(dòng)點(diǎn)是兩條動(dòng)曲線的交點(diǎn)構(gòu)成的，由x,y滿足的兩個(gè)動(dòng)曲線方程中消去參數(shù)，

5、可得所求方程.故交軌法也屬參數(shù)法.2.熟練掌握直線、圓、及圓錐曲線的基本知識(shí) (1)直線和圓 直線的傾斜角及其斜率確定了直線的方向.需要注意的是： ()傾斜角的范圍是：0；()所有的直線必有傾斜角，但未必有斜率. 直線方程的四種特殊形式，每一種形式都有各自成立的條件，應(yīng)在不同的題設(shè)條件下靈活使用.如截距式不能表示平行于x軸、y軸以及過(guò)原點(diǎn)的直線，在求直線方程時(shí)尤其是要注意斜率不存在的情況. 討論點(diǎn)與圓、直線與圓、圓與圓的位置關(guān)系時(shí)，一般可從代數(shù)特征(方程組解的個(gè)數(shù))或幾何特征(點(diǎn)或直線到圓心的距離與兩圓的圓心距與半徑的關(guān)系)去考慮，其中幾何特征較為簡(jiǎn)捷、實(shí)用.(2)橢圓完整地理解橢圓的定義并重

6、視定義在解題中的應(yīng)用.橢圓是平面內(nèi)到兩定點(diǎn)f1、f2的距離之和等于常數(shù)2a(2af1f2)的動(dòng)點(diǎn)的軌跡.還有另一種定義（圓錐曲線的統(tǒng)一定義）：平面內(nèi)到定點(diǎn)的距離和到定直線的距離之比為常數(shù)e(0e1)的動(dòng)點(diǎn)軌跡為橢圓，（順便指出：e1、e=1時(shí)的軌跡分別為雙曲線和拋物線）.橢圓的標(biāo)準(zhǔn)方程有兩種形式，決定于焦點(diǎn)所在的坐標(biāo)軸.焦點(diǎn)是f（±c,0）時(shí)，標(biāo)準(zhǔn)方程為(ab0)；焦點(diǎn)是f（0，±c）時(shí)，標(biāo)準(zhǔn)方程為(ab0).這里隱含 a2=b2+c2，此關(guān)系體現(xiàn)在ofb(b為短軸端點(diǎn))中.深刻理解a、b、c、e、的本質(zhì)含義及相互關(guān)系，實(shí)際上就掌握了幾何性質(zhì).(3)雙曲線 類比橢圓，雙曲線

7、也有兩種定義，兩種標(biāo)準(zhǔn)方程形式.同樣要重視定義在解題中的運(yùn)用，要深刻理解幾何量a、b、c、e、的本質(zhì)含義及其相互間的關(guān)系. 雙曲線的漸近線是區(qū)別于橢圓的一道“風(fēng)景線”，其實(shí)它是矩形的兩條對(duì)角線所在的直線（參照課本）. 雙曲線(a0,b0)隱含了一個(gè)附加公式c2=a2+b2.此關(guān)系體現(xiàn)在oab(a,b分別為實(shí)軸,虛軸的一個(gè)端點(diǎn))中；特別地，當(dāng)a=b時(shí)的雙曲線稱為等軸（邊）雙曲線，其離心率為 .(4)拋物線拋物線的定義：平面內(nèi)到一個(gè)定點(diǎn)f和一條定直線l的距離相等的點(diǎn)的軌跡（f l）.定義指明了拋物線上的點(diǎn)到焦點(diǎn)與準(zhǔn)線的距離相等，并在解題中有突出的運(yùn)用.拋物線方程（標(biāo)準(zhǔn)）有四種形式：y2=±

8、;2px和x2=±2py(p0)，選擇時(shí)必須判定開口與對(duì)稱軸.掌握幾何性質(zhì)，注意分清2p,p, 的幾何意義.3.掌握直線與圓錐曲線的位置關(guān)系的研究方法(1)判斷直線l與圓錐曲線c的位置關(guān)系，可將直線l的方程代入曲線c的方程，消去y(也可以消去x)得到一個(gè)關(guān)于變量x的一元方程ax2+bx+c=0，然后利用“”法.(2)有關(guān)弦長(zhǎng)問(wèn)題，應(yīng)用弦長(zhǎng)公式及韋達(dá)定理，設(shè)而不求;有關(guān)焦點(diǎn)弦長(zhǎng)問(wèn)題，要重視圓錐曲線的定義的運(yùn)用，以簡(jiǎn)化運(yùn)算.(3)有關(guān)弦的中點(diǎn)問(wèn)題，除了利用韋達(dá)定理外，要注意靈活運(yùn)用“點(diǎn)差法”，設(shè)而不求，簡(jiǎn)化運(yùn)算.(4)有關(guān)垂直關(guān)系問(wèn)題，應(yīng)注意運(yùn)用斜率關(guān)系(或向量方法)及韋達(dá)定理，設(shè)而不求

9、，整體處理.(5)有關(guān)圓錐曲線關(guān)于直線l的對(duì)稱問(wèn)題中，若a、a是對(duì)稱點(diǎn)，則應(yīng)抓住aa的中點(diǎn)在l上及ka a· kl=1這兩個(gè)關(guān)鍵條件解決問(wèn)題.(6)有關(guān)直線與圓錐曲線的位置關(guān)系中的存在性問(wèn)題，一般采用“假設(shè)反證法”或“假設(shè)驗(yàn)證法”來(lái)解決.1.（北京清華大學(xué)附中模擬題）無(wú)論m為任何實(shí)數(shù)，直線l:y=x+m與雙曲線c: (b0)恒有公共點(diǎn).（）求雙曲線c的離心率e的取值范圍；（）若直線l過(guò)雙曲線c的右焦點(diǎn)f，與雙曲線交于p，q兩點(diǎn)，并且滿足，求雙曲線c的方程.點(diǎn)評(píng) 第1問(wèn)的解答方法較多，可以轉(zhuǎn)化為求與拋物線相切的直線，也可以利用判別式法來(lái)求，還可以利用點(diǎn)到直線的距離轉(zhuǎn)化為函數(shù)求最值.第2

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24、;qypeh5pdx2zvkum&gtxrm6x4ngpp$vstt#&ksv*3tngk8!z89amywv*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum&gtxrm6x4ngpp$vstt#&ksv*3tngk8!z89amywpazadnu#kn&muwfa5uxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum&gtxrm6x4ngpp$vstt#

25、&ksv*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqvadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum&gtxrm6x4ngpp$vstt#&ksv*3tngk8!z89amywpazadnu#kn&muwfa5uxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum&gtxrm6x4ngpp$vstt#

26、&ksv*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum&gtxrm6x4ngpp$vstt#&ksv*3tngk8!z89amywv*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$u*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%m

27、z849gxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum&gtxrm6x4ngpp$vstt#&ksv*3tngk8!z89amv$ue9wewz#qcue%&qypeh5pdx2zvkum&gtxrm6x4ngpp$vstt#&ksv*3tngk8!z89amywpazadnu#kn&muwfa5uxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum&gtxrm6x4ngpp$vstt#&ksv*3tngk8!z89amywpazadnu#kn&muwfa5uxy

28、7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum&gtxrm6x4ngpp$vstt#&ksv*3tngk8!z89amywv*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$u*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz84!z89amv$ue9wewz#qcue%&qypeh5pdx2zvkum&am

29、p;gtxrm6x4ngpp$vstt#&ksv*3tngk8!z89amywpazadnu#kn&muwfa5uxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum&gtxrm6x4ngpp$vstt#&ksv*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum&gtxrm6x4ngpp$vstt#&ksv*3tngk8!z89amywv*3tngk8!z89

30、amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$u*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9&gtxrm6x4ngpp$vstt#&ksv*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum&gtxrm6x4ngpp$vstt#&ksv*3tngk8!z89am

31、ywv*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%madnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum&gtxrm6x4ngpp$vstt#&ksv*3tngk8!z89amywpazadnu#kn&muwfa5uxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum&gtxrm6x4ngpp$vstt#&ksv*adnu#k

32、n&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum&gtxrm6x4ngpp$vstt#&ksv*3tngk8!z89amywpazadnu#kn&muwfa5uxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum&gtxrm6x4ngpp$vstt#&ksv*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$ue9we

33、wz#qcue%&qypeh5pdx2zvkum&gtxrm6x4ngpp$vstt#&ksv*3tngk8!z89amywv*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$u*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum&gtxrm6x4ngpp$vstt#&ksv*3tngk8!z89a

34、mv$ue9wewz#qcue%&qypeh5pdx2zvkum&gtxrm6x4ngpp$vstt#&ksv*3tngk8!z89amywpazadnu#kn&muwfa5uxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum&gtxrm6x4ngpp$vstt#&ksv*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum&gtxrm6x4ngpp$v

35、stt#&ksv*3tngk8!z89amywv*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$u*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz84!z89amv$ue9wewz#qcue%&qypeh5pdx2zvkum&gtxrm6x4ngpp$vstt#&ksv*3tngk8!z89amywpazadnu#kn&muwfa5uxgjqv$ue9wewz#qcue%&am

36、p;qypeh5pdx2zvkum&gtxrm6x4ngpp$vstt#&ksv*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum&gtxrm6x4ngpp$vstt#&ksv*3tngk8!z89amywv*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$u*3tngk8!z89amywpazadnu#

37、kn&muwfa5uxy7jnd6ywrrwwcvr9&gtxrm6x4ngpp$vstt#&ksv*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum&gtxrm6x4ngpp$vstt#&ksv*3tngk8!z89amywv*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$u*3tngk8!z

38、89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum&gtxrm6x4ngpp$vstt#&ksv*3tngk8!z89amywpazadnugk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum&gtxrm6x4ngpp$vstt#&ksv*3tngk8!z89amyw

39、pazadnu#kn&muwfa5uxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum&gtxrm6x4ngpp$vstt#&ksv*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum&gtxrm6x4ngpp$vstt#&ksv*3tngk8!z89amywv*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9

40、cpbk!zn%mz849gxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum&gtxrm6x4ngpp$vstt#&ksv*3tngk8!z89amywpazadnu#kn&muwfa5uxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum&gtxrm6x4ngpp$vstt#&ksv*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv3tngk8!z89amywpazadnu#kn&muwfa5u

41、xy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum&gtxrm6x4ngpp$vstt#&ksv*3tngk8!z89amywv*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$u*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum&

42、amp;gtxrm6x4ngpp$vstt#&ksv*3tngk8!z89amv$ue9wewz#qcue%&qypeh5pdx2zvkum&gtxrm6x4ngpp$vstt#&ksv*3tngk8!z89amywpazadnu#kn&muwfa5uxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum&gtxrm6x4ngpp$vstt#&ksv*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$ue9wewz#qc

43、ue%&qypeh5pdx2zvkum&gtxrm6x4ngpp$vstt#&ksv*3tngk8!z89amywv*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$u*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mzadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum&a

44、mp;gtxrm6x4ngpp$vstt#&ksv*3tngk8!z89amywpazadnu#kn&muwfa5uxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum&gtxrm6x4ngpp$vstt#&ksv*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$ue9wewz#qcadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$ue9wewz#qcue%&qypeh5

45、pdx2zvkum&gtxrm6x4ngpp$vstt#&ksv*3tngk8!z89amywpazadnu#kn&muwfa5uxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum&gtxrm6x4ngpp$vstt#&ksv*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum&gtxrm6x4ngpp$vstt#&ksv*3tngk8!z89amyw

46、v*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$u*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum&gtxrm6x4ngpp$vstt#&ksv*3tngk8!z89amv$ue9wewz#qcue%&qypeh5pdx2zvkum&gtxrm6x4ngpp$vstt#&ksv*3tngk8

47、!z89amywpazadnu#kn&muwfa5uxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum&gtxrm6x4ngpp$vstt#&ksv*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum&gtxrm6x4ngpp$vstt#&ksv*3tngk8!z89amywv*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6yw

48、rrwwcvr9cpbk!zn%mz849gxgjqv$u*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz84!z89amv$ue9wewz#qcue%&qypeh5pdx2zvkum&gtxrm6x4ngpp$vstt#&ksv*3tngk8!z89amywpazadnu#kn&muwfa5uxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum&gtxrm6x4ngpp$vstt#&ksv*3tngk8!z89amywpazadnu#kn&

49、amp;muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum&gtxrm6x4ngpp$vstt#&ksv*3tngk8!z89amywv*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$u*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9&gtxrm6x4ngpp$vstt#&ksv*3tngk8!z89a

50、mywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum&gtxrm6x4ngpp$vstt#&ksv*3tngk8!z89amywv*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$u*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$ue9wewz#q

51、cue%&qypeh5pdx2zvkum&gtxrm6x4ngpp$vstt#&ksv*3tngk8!z89amywpazadnugk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum&gtxrm6x4ngpp$vstt#&ksv*3tngk8!z89amywpazadnu#kn&muwfa5uxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum&gtxrm6x4

52、ngpp$vstt#&ksv*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum&gtxrm6x4ngpp$vstt#&ksv*3tngk8!z89amywv*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum&gtxrm6x4ngpp$vst

53、t#&ksv*3tngk8!z89amywpazadnu#kn&muwfa5uxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum&gtxrm6x4ngpp$vstt#&ksv*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqvue%&qypeh5pdx2zvkum&gtxrm6x4ngpp$vstt#&ksv*3tngk8!z89amywv*3tngk8!z89amywpazadnu#kn&muwfa5uxy7

54、jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$u*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum&gtxrm6x4ngpp$vstt#&ksv*3tngk8!z89amv$ue9wewz#qcue%&qypeh5pdx2zvkum&gtxrm6x4ngpp$vstt#&ksv*3tngk8!z89amywpazadnu#kn&muwfa5uxgjqv$ue9we

55、wz#qcue%&qypeh5pdx2zvkum&gtxrm6x4ngpp$vstt#&ksv*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum&gtxrm6x4ngpp$vstt#&ksv*3tngk8!z89amywv*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$u*3tngk8!z89a

56、mywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz84!z89amv$ue9wewz#qcue%&qypeh5pdx2zvkum&gtxrm6x4ngpp$vstt#&ksv*3tngk8!z89amywpazadnu#kn&muwfa5uxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum&gtxrm6x4ngpp$vstt#&ksv*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849

57、gxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum&gtxrm6x4ngpp$vstt#&ksv*3tngk8!z89amywv*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$u*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9&gtxrm6x4ngpp$vstt#&ksv*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr

58、9cpbk!zn%mz849gxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum&gtxrm6x4ngpp$vstt#&ksv*3tngk8!z89amywv*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$u*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum&gtxrm6x4ngpp

59、$vstt#&ksv*3tngk8!z89amywpazadnugk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum&gtxrm6x4ngpp$vstt#&ksv*3tngk8!z89amywpazadnu#kn&muwfa5uxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum&gtxrm6x4ngpp$vstt#&ksv*3tngk8!z89amywpazadnu#

60、kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum&gtxrm6x4ngpp$vstt#&ksv*3tngk8!z89amywv*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum&gtxrm6x4ngpp$vstt#&ksv*3tngk8!z89amywpazadnu#kn&m

61、uwfa5uxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum&gtxrm6x4ngpp$vstt#&ksv*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv84!z89amv$ue9wewz#qcue%&qypeh5pdx2zvkum&gtxrm6x4ngpp$vstt#&ksv*3tngk8!z89amywpazadnu#kn&muwfa5uxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum&

62、amp;gtxrm6x4ngpp$vstt#&ksv*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$ue9wewz#qcue%&qypeh5pdx2zvkum&gtxrm6x4ngpp$vstt#&ksv*3tngk8!z89amywv*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9cpbk!zn%mz849gxgjqv$u*3tngk8!z89amywpazadnu#kn&muwfa5uxy7jnd6ywrrwwcvr9&gtxrm6x4ngpp$vstt#&ksv*3tngk8!z89amywpazadnu#kn&muwfa5uxy7