已知不等式
.
(1)求不等式的解集
;
(2)若集合
,且
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3d6f2368b61ee6c972187db3627964f.png)
(1)求不等式的解集
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0914b68f106a912420705b2f3928ca42.png)
(2)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4f302fcb4bbbe04942525020cbf2cf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41b4a0e6a36a55f3c64af3f773f05f8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ab4717e4827480f0f6f4ded85e52eab.png)
更新时间:2022-10-19 18:21:20
|
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解答题-问答题
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适中
(0.65)
名校
解题方法
【推荐1】已知集合
.
(1)若
,求实数
的取值范围;
(2)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d29f742e592b3ecceb8c262be8baf7ca.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2333f966f6ec29f0661f93d99b055cd5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4815b1d16a7ae485ff0bba0b397e893.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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适中
(0.65)
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【推荐2】已知集合
,
.
(1)当
时,求
;
(2)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0974c628ba6f965a04d765a49ee4de5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64d765116148b3d5d67890f8b0d547a9.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1de657294cd6f13fbb73736409a2e0f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b05d2be27e8f53e4de3071846dffb41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解答题-问答题
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适中
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解题方法
【推荐1】已知二次函数
满足
,
,且
的最小值等于
.
(1)解关于
的不等式
;
(2)若当
时,
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0acb74208dcbe73fd8cbd89bf86bd69c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4179ee7ed14f29e6e766fa1ad644771f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3edbd40e04e2a943051fa83d6e511add.png)
(1)解关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6acb0f1ac694dd177e99fc385f23318.png)
(2)若当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fde6d516da5be7837eb5f86f656c0582.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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【推荐2】解不等式
(1)
;
(2)
;
(3)
;
(4)
;
(5)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b255276ab26638194fa865c67c72e38.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83455d9448b63a6eae1565280d6a6111.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e03f5e2ce625506cc6901e3bbfd57616.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1f1d13d3ea411f5d9014d50f0978371.png)
(5)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30a1e5b6961c95a87c2d8e0381dd0667.png)
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适中
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【推荐3】已知函数
.
(1)若
,试求函数
的最小值;
(2)对于任意的
,不等式
成立,试求a的取值范围;
(3)存在
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96a00d1c6fcdb96ed05e6de7dad5a98c.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6fa4b84bb22359a6813d21ed7dfb61b.png)
(2)对于任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fbb01a7f5e9861aa185c6c63fcd58c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4aa539556add14df9b3fc68b9827464.png)
(3)存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1447702661c4d6ede0660789960a0eed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7feca18a5933fed53790465f077ea62.png)
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