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《解二元一次方程组》典型例题代入(20220224165202).pdf

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1、解二元一次方程组典型例题例 1 解方程组)2(.0765(1),0432yxyx例 2解方程组)2(5225123)1(0223xyxyx例 3 解方程组)2(123)1(12yxxy例 4用代入法解方程组).3()2(2)2(,5axyaxyx例 5解下列方程组：（1）6)(4)(22)(3)(5yxyxyxyx（2）1975432yxyx例 6 解方程组）（）（2.5)1()2(21),1(22yxyx例 7若23yx是方程组53121nymxnymx的解，求nm2 的值.例 8 解方程组）（）（2.23431,21332yxyx例 9用代入法解二元一次方程组)2(825)1(73yxyx

2、文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B

3、3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1

4、P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S

5、10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F

6、6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7

7、J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H

8、6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10参考答案例 1 分析：先从方程组中选出一个方程，如方程（1），用含有一个未知数的代数式表示另一个未知数，把它代入另一个方程中，得到一个一元一次方程，解这个方程求出一个未知数的值，再代入求另一个未知数的值.解：由（1），得243yx，（3）把（3）代入（2）中，得0

9、762435yy，解得2y把2y代入（3）中，得24)2(3x，1x.2,1yx是原方程组的解.例 2 解：由（1）得223yx（3）把（3）代入（2），得522512x，解得21x.把21x代入（3），得22213y，解得41y.方程组的解为.41,21yy说明：将yx23作为一个整体代入消元，这种方法称为整体代入法，本题把yx23看作一个整体代入消元比把（1）变形为232xy再代入（2）简单得多.例 3 分析：由于方程（1）和（2）中同一字母（未知数）表示同一个数，因此将（1）中 y的值代入（2）中就可消去 y，从而转化为关于x的一元一次方程.解：将（1）代入（2），得1)12(23xx，

10、解得，1x.把1x代入（1）得1112y，方程组的解为.1,1yx例 4 分析：首先观察方程组，发现方程xyax)2(2)2(的形式不是很好，文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7

11、J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H

12、6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q

13、4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9

14、D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W

15、6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB

16、4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10将其整理成)2(22)1(ayxa，再由5yx得yx5或xy5代入其中进行求解；也可由5yx得xy32代入原式第二个方程先

17、求x，再求 y.解法一：化原方程组为）（）（2)2(22)1(15ayxayx由（1）得xy5.（3）把（3）代入（2），得).2(2)5(2)1(axxa即)3(2)3(axa.又3a，可得2x.将2x代入（3），得3y.所以.3,2yx解法二：由5yx得xy32.将xy32代入xyax)2(2)2(，得xxax)3(2)2(.即).3(2)3(axa又3a，2x.将2x代入5yx，得.3y.3,2yx说明：用代入法解方程组，一种是一般代入；另一种是整体代入，这需要结合方程组的形式加以分析，此题用第一种方法解时，不能直接由)2(22)1(ayxa

18、得12)2(2ayax（为什么？）.例 5 分析：（1）小题可以先去括号，把方程组整理为一般形式222111cybxacybxa后再解；也可以把)(yx、)(yx看成一个整体，令myx、nyx，把原方文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6

19、H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4

20、Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J

21、9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8

22、W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:C

23、B4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ

24、1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10程组变形为642235nmnm求解.（2）小题可以设sx1，ty

25、1，将原方程组化为1975432tsts来解.解：（1）设nyxmyx,则原方程组可化为：642235nmnm解这个方程组得11nm则有11yxyx解这个方程组得01yx 原方程组的解为01yx（2）设sx1，ty1则原方程组可化为1975432tsts解这个方程组得21ts则有2111yx解得211yx把211yx代入原方程组检验，是原方程组的解.原方程组的解为211yx例 6 解：把（1）代入（2），得.5)1()1(22yy解得.2y把.2y代入（1），得)12(22x，.4x.2,4yx说明：本题考查用整体代入法解二元一次方程组，解题时应观察方程组的结构特征，找出其中技巧.例 7 分析

26、：把23yx代入方程组就可以得到关于的二元一次方程，解之即可文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7

27、J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H

28、6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q

29、4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9

30、D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W

31、6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB

32、4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10求出n,m的值.解：把23yx代入方程组得)2(529)1(13nmnm由（1）得13mn（3），把（3）代入（2）得51329)m(m，解得1m.把1m代入（3）得2n，32nm说明：本题考查方程的解的

33、性质，当一对数值是方程组的解时，它必能使方程组中每一个方程都成立.例 8 解：原方程化简，得）（）（4.18343,3923yxyx由（3）得.2339xy（5）把（5）代入（4），得.18233934xx解得.9x把.9x代入（5），得6y.原方程组的解为.6,9yx说明：本题考查较复杂的二元一次方程组的用代入法求解，关键是先对方程组进行化简，再选取系数简单的方程进行变形.例 9 分析：方程中 y 的系数的绝对值为1，可选取对它进行变形，用含x 的代数式表示 y.比较下面三种解法,看哪一种解法最简单.解法 1：由（1）得.73xy（3）把（3）代入（2）得.8)73(25xx即.2,2211

34、xx把2x代入（3），得723y，即.1y12yx是原方程组的解.解法 2：由（2）得.258xy（3）把（3）代入（1）得.72583xx化简，得.2,2211xx把2x代入方程（3），得.1,2258yy12yx是方程组的解.文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J

35、9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8

36、W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:C

37、B4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ

38、1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8

39、I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码

40、:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10解法 3：由（2），得.528yx

41、（3）把（3）代入（1），得.75283yy355624yy，.1y把.1y代入（3），得52)1(8x，.2x1,2yx是方程组的解.说明：本题考查用代入法解二元一次方程组，从上面三种解法可以看出，选择适当的方程变形可使计算简便.文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1

42、J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I

43、8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:

44、CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 H

45、J1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE

46、8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10文档编码:CB4Q4F6B3X3 HJ1J9D7J1P8 ZE8I8W6H6S10

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