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1、1 不等式复习一、比较两实数大小:1、观察数轴对应点进行直观比较2、作差法:两个实数或者代数式进行作差比较练:1、的大小与比较设1543,2aaRa2、比较大小:9526522xxxx与二、不等式的基本性质性质 1(传递性)如果 a b,且 b c,那么 a c 性质 2(加法性质)如果 a b,那么 a+c b+c 不等式的两边同时加或减同一个数,不等号方向不变性质 3(乘法性质)如果 a b,c 0,那么 ac bc;如果 a b,c 0,那么 ac bc 不等式两边同时乘或除以同一个正数,不等号方向不变;不等式两边同时乘或除以同一个负数,不等号方向改变;2 练:1、设、均为实数,且,下列
2、结论正确的是()。(A)(B)(C)(D)2、设 a0 且0,则下列结论不正确的是()。(A)(B)(C)(D)3、若 abb2 B、|a|b|C、2ab-2 三、区间:其中 a,b 叫做区间的端点对于实数集 R,也可用区间(,)表示练:1、用 区间 与集合 的记法分别表示下列不等式的解集,并在数轴上表示这些区间:(1)2x3;(2)3x4;(5)x3;(6)x4;(7)2x3 且 x 1;2、把下列不等式写成区间的形式:21xx;53xx21xx。BCACBABABARUUU,.3,24,2,3,求,集合、设全集四、一元二次不等式的定义:含有 一个未知数 并且 未知数最高次数是二次的不等式
3、叫一元二次不等式.它的一般形式:)0(02cbxax或)0(02cbxax,其中,a0.文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码
4、:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2
5、S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z1
6、0 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W
7、4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W
8、4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K
9、10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X43 五、一元二次不等式的解法:求一元二次不等式的的一般步骤:一看:看二次项系数是
10、否为正,若为负 则化为正,将 不等式两边同乘-1,同时 不等号变向。二算:算及对应方程的根。即判断对应方程解的情况,如果有解,求出方程的根三写:由对应方程的根,结合不等号的方向,根据函数图象写出不等式的解集。注:当 a0,且一元二次不等式相对应的一元二次方程有两解时,可记住口诀“大于零,取两边,小于零,取中间”练:(1)032xx(2)021-10-2xx(3)01442xx(4)x24x+40 (6)x2 2x 3 0 六、含绝对值的不等式不等式ax的解集是axax不等式ax的解集是axax不等式ax的解集是axaxx或不等式ax的解集是axaxx或文档编码:CM5D2S5H7Z10 HW6
11、W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8
12、W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5
13、K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F
14、4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编
15、码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D
16、2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z
17、10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X44 练:1、满足条件3x的x的取值范围为()A、3x B、0 x C、3x D、33 x2、解下列绝对值不等式:(1)213x(2)752x(3)53-2x.,02|41|32BCABABAxxxBxxARU,
18、求,、设全集为文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X
19、4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:
20、CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S
21、5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10
22、 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4
23、B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4文档编码:CM5D2S5H7Z10 HW6W4B1M8W4 ZG5K10X3F4X4
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