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1、含参数的一元一次方程复习：解方程：（1）211352xx（2）2%60%40)4(xx（3）14.01.05.06.01.02.0 xx（4）13212121xxx含参数的一元一次方程专题讲解一、含参数的一元一次方程解法（分类讨论思想）1、讨论关于x的方程 axb 的解的情况2、已知a是有理数，在下面5 个命题：（1）方程0ax的解是0 x（2）方程axa的解是1x（3）方程1ax的解是1xa（4）方程a xa的解是1x（5）方程(1)1axa的解是1x中，结论正确的个数是（）A0 B1 C2 D3*解关于x的方程：3xabxbcxcacab二、含参数的一元一次方程中参数的确定根据方程解的具体
2、数值来确定例：已知关于x的方程 332axax的解为4x变式训练：1、已知关于x的方程22()mxmx 的解满足方程102x，则m2、已知方程24(1)2xax的解为3x，则a3、如果方程21310 xx的解为a+2，求方程：2 2(3)3()3xxaa的解。根据方程解的个数情况来确定例：关于x的方程43mxxn，分别求m，n为何值时，原方程：（1）有唯一解；（2）有无数多解；（3）无解变式训练：1、若关于x的方程(2)125axbx有无穷多个解，求a，b 值2、已知关于x的方程1(12)326xxmx有无数多个解，试求m的值文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U
3、2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4
4、K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码
5、:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5
6、G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4
7、 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1
8、E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S
9、3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K53、已知关于x的方程 2(1)(5)3a xa xb 有无数多个解，那么a，b4、已知关于x的方程 3(2)(21)5a xbx有无数多个解，求a与 b 的值根据方程定解的情况来确定例：若a，b 为定值，关于x的一元一次方程2236ka
10、xbx，无论 k 为何值时，它的解总是1x，求a和 b 的值变式训练：1、如果a、b 为定值，关于x的方程2236kxaxbk，无论 k 为何值，它的根总是1，求a、b 的值2、若a、b 为定值，关于x的一元一次方程2236kxaxbk，无论 k 为何值时，它的解总是1x，求 23ab 的值根据方程整数解的情况来确定例：m为整数，关于x的方程6xmx 的解为正整数，求m的值文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S
11、3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U
12、2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4
13、K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码
14、:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5
15、G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4
16、 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1
17、E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5变式训练：1、若关于x的方程 917xkx 的解为正整数，则k 的值为2、已知关于x的方程 9314xkx有整数解，那么满足条件的所有整数k=3、已知a是不为0 的整数，并且关于x的方程322354axaaa有整数解，则a的值共有（）A1 个B3 个C6 个D9 个根据方程公共解的情况来确定例：若方程328)1(3xx与方程325xkx的解相同，求k 的值。变式训练：1、若关于x的方程 3
18、0 xa的解与方程240 x的解相同，求a的值2、已知关于x的方程 3242axxx 和方程3151128xax有相同的解，求出方程的解文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1
19、E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S
20、3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U
21、2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4
22、K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码
23、:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5文档编码:CX5Y5G9D1P4 HD7H1E2K10S3 ZC6U2Y10X4K5