解题方法
1 . 设函数
,若不等式
的解集是
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/070d1ea22a92808dad7489438c239629.png)
________ ;若对于任意
,不等式
有解,则实数
的取值范围为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67c6f6b5f8fe943eea743d36eaf16cc7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a57458464618fcf619375a93d3c66d69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ad6df9d5a7b3c5d961928fa7e5089e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/070d1ea22a92808dad7489438c239629.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00879cffccc124857ca755a8c345e45f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b03bc1fe912d62ccee6738726dd3d2ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
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真题
解题方法
2 . 若关于x的不等式
的解集为
,则实数a的取值范围是____________ ;若关于x的不等式
的解集不是空集,则实数a的取值范围是____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60f32344f11365622281ba0101a8d20f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7a19bbab2270fc8e694527e801556cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65e4c7b640e120953e021c4b1d02c56f.png)
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2020高三·全国·专题练习
解题方法
3 . 设函数
,若不等式
的解集是
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ba99a5c5661eedaef4b36ade1a7c5c5.png)
________ ;若对于任意
,不等式
有解,则实数
的取值范围为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cda61f1a58dc25af423f15149d50277e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4559e8b5861ebbf7c0f5c6d9a819f97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ba99a5c5661eedaef4b36ade1a7c5c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/998485ffeb46a0412ff1a0f814429257.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46aacbc97650ee775b9549bec3442f4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
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4 . (2017·全国Ⅲ卷改编)已知函数f(x)=|x+1|-|x-2|,则:
(1)不等式f(x)≥1的解集为________ ;
(2)若不等式f(x)≥x2-x+m的解集非空,则m的取值范围为________ .
(1)不等式f(x)≥1的解集为
(2)若不等式f(x)≥x2-x+m的解集非空,则m的取值范围为
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