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1、精品资料欢迎下载含绝对值一次方程及方程组的解法一、绝对值的代数和几何意义。绝对值的代数意义：正数的绝对值是它本身；负数的绝对值是它的相反数；零的绝对值是零。用字母表示为aaa0000aaa绝对值的几何意义：表示这个数的点离开原点的距离。因此任何数的绝对值是非负数。根据绝对值的意义，我们可以得到：当a 0时 x=a|x|=a当a=0时 x=0 当a 0时方程无解.二、含绝对值的一次方程的解法（1）形如(0)axbc a型的绝对值方程的解法：当0c时，根据绝对值的非负性，可知此时方程无解；当0c时，原方程变为0axb，即0axb，解得bxa；当0c时，原方程变为axbc或axbc，解得cbxa或c
2、bxa（2）形如(0)axbcxd ac型的绝对值方程的解法：根据绝对值的非负性可知0cxd，求出x的取值范围；根据绝对值的定义将原方程化为两个方程axbcxd和()axbcxd；分别解方程axbcxd和()axbcxd；将求得的解代入0cxd检验，舍去不合条件的解（3）形如(0)axbcxd ac型的绝对值方程的解法：根据绝对值的定义将原方程化为两个方程axbcxd或()axbcxd；分别解方程axbcxd和()axbcxd（4）形如()xaxbc ab 型的绝对值方程的解法：根据绝对值的几何意义可知xaxbab；当 cab 时，此时方程无解；当cab 时，此时方程的解为axb；当-第 1
3、页，共 8 页精品p d f 资料 可编辑资料-精品资料欢迎下载cab 时，分两种情况：当xa 时，原方程的解为2abcx；当xb时，原方程的解为2abcx（5）形如(0)axbcxdexf ac型的绝对值方程的解法：找绝对值零点：令0axb，得1xx，令0cxd得2xx；零点分段讨论：不妨设12xx，将数轴分为三个区段，即1xx；12xxx；2xx；分段求解方程：在每一个区段内去掉绝对值符号，求解方程并检验，舍去不在区段内的解（6）形如(0)axbcxdexf a型的绝对值方程的解法：解法一：由内而外去绝对值符号：按照零点分段讨论的方式，由内而外逐层去掉绝对值符号，解方程并检验，舍去不符合条
4、件的解解法二：由外而内去绝对值符号：根据绝对值的非负性可知0exf，求出 x的取值范围；根据绝对值的定义将原方程化为两个绝对值方程()axbexfcxd和()()axbexfcxd；解中的两个绝对值方程三、热身练习：1、求下列方程的解：（1）|x|=7；（2）5|x|=10；（3）|x|=0；（4）|x|=3；（5）|3x|=9-第 2 页，共 8 页精品p d f 资料 可编辑资料-文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5
5、A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F
6、8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10
7、K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1
8、X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码
9、:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9
10、T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3
11、 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2精品资料欢迎下载例 1解方程 (1)0223|21|x (2)0|12|3xx解：|1 2x|+3 4=0 解：|2x 1|=3+x x -3|1 2x|=1 2x 1=3+x 或 2x 1=-(3+x)1 2x=1或 1 2x=-1 x 1=4 或 x 2=32x 1=0 或 x 2=1 当方程中只含有一个绝对值时，可将绝对值看作一个整体来求解，再根据绝对值的定义去掉绝对值符
12、号，最终达到解方程的目的。解含绝对值方程的总原则是设法去掉绝对值符号，化为一般方程。由绝对值的定义：0000|aaaaaa可知，本题解法中，是先设法确定未知数的取值范围，从而得到绝对值中部分的正、负取值，最终达到去绝对值符号的目的。【小试牛刀】1、|x 2|-2=0 2、041|31|31x 3、4 2|5 x|=3x x1=4，x2=0 x1=121，x2=127 x1=-6，x2=514(舍)-第 3 页，共 8 页精品p d f 资料 可编辑资料-文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8
13、 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K
14、1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X
15、2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:
16、CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T
17、1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3
18、HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A
19、7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2精品资料欢迎下载例 2解方程|x-|2x+1|=3 解：x-|2x+1|=3 或 x-|2x+1|=-3|2x+1|=x 3 x 3 或|2x+1|=x+3 x -3 2x+1=x 3 或 2x+1=-(x 1)或 2x+1=x+3 或 2x+1=-(x+3)x 1=-4(舍)x 2=32(舍)x 3=2 x
20、 4=34 原方程的解为 x 1=2，x 2=34【小试牛刀】1、2+|3-|x+4|=2x x 1=31(舍)，x 2=9(舍)，x 3=3，x 4=35(舍)2、|x 1|-1|-1|-1=0 x 1=4，x 2=-2，x 3=2，x 4=0 例 3解方程|3x 2|+|x+1|=10 解：令 3x 2=0，x=32；令 x+1=0，x=-1 当 x -1时，当 1 x 32时当 x 32时-(3x 2)(x+1)=10 -(3x 2)+x+1=10 3x 2+x+1=10 -3x+2 x 1=10 -3x+2+x+1=10 3x+x=10+2 1 -3x x=10 2+1 -3x+x=1
21、0 2 1 4x=11 -4x=9 -2x=7 x=411 x=49 x=27(舍)-第 4 页，共 8 页精品p d f 资料 可编辑资料-文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ
22、4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R
23、10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 Z
24、E10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V
25、5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文
26、档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP
27、8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2精品资料欢迎下载原方程的解
28、为x 1=49，x 2=411由于零是正、负的分界点，因此解题中所用的分类方法常被称为“零点”法。在解题时应注意分段后各自求得的解是否在相应的取值范围内，从而确定它是否是原方程真正的解。【小试牛刀】1、|x 4|-|x+3|=2 x=212、15+|2x+3|-2|2 3x|=0 x 1=-2，x 2=2113、|x 2|-3|x+1|=2x 9 x=34思考1、已知 ab 0，且|a|=2，|b|=7，求 a+b的值解：|a|=2，a=2，|b|=7，b=7 又 ab 0，求|abcabcacacbcbcababccbbaa的值解：abc 0 a、b、c 为三正或二负一正 当 a 0，b 0
29、，c 0时原式 =abcabcacacbcbcababccbbaa=1+1+1+1+1+1+1=7 不访设 a 0，b 0 原式 =abcabcacacbcbcababccbbaa=-1 1+1+1 1 1+1=-1 4、已知：|a|=a+1，|x|=2ax，求|x 1|-|x+1|+2的最小值与最大值解：|a|=a+1 a=a+1 或 a=-(a+1)0 x=1(无解)或 a=21又|x|=2ax|x|=-x，x 0 令 x 1=0，x=1，令 x+1=0，x=-1 当 x -1时|x 1|-|x+1|+2=-(x 1)+(x+1)+2 =-x+1+4+1+2 =4 当 1 x 0 时|x
30、1|-|x+1|+2=-(x 1)(x+1)+2 =-x+1 x 1+2-第 6 页，共 8 页精品p d f 资料 可编辑资料-文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R
31、10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 Z
32、E10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V
33、5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文
34、档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP
35、8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N
36、2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2精品资料欢迎下载 =-2x+2=)0(
37、2)1(4xx答：|x 1|-|x+1|+2的最大值为4，最小值为2 例 4解方程组家庭作业：三、练习题1.解方程1121123xx2.方程21302x的解为3.解方程200520052006xx4.解方程525xx5.a 为有理数，23aa，求 a的值-第 7 页，共 8 页精品p d f 资料 可编辑资料-文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 H
38、Q4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7
39、R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8
40、ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1
41、V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2
42、文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:C
43、P8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1
44、N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2精品资料欢迎下载6.解方程134xx7.解方程：23143xxx8.解方程：3548x-第 8 页，共 8 页精品p d f 资料 可编辑资料-文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8
45、ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1
46、V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2
47、文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:C
48、P8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1
49、N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 H
50、Q4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7R10F8 ZE10K1V5D1X2文档编码:CP8S9T1N2N3 HQ4G5A7