解题方法
1 . 已知函数
.
(1)当
时,解不等式
;
(2)当
时,
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d9eb22a666dee9eb4a9a590dd6aafc7.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b108ab31cc093f03cf48ad65429889e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3e693d36b6395a0e28324c29c54151a.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f999f9c9246a6d128807b138d9d15de9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fc2607d8836f265bbc1b2821391194a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
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|
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5卷引用:内蒙古名校联盟2024届高三下学期联合质量检测文科数学试题
解题方法
2 . 已知函数
.
(1)若
,求不等式
的解集;
(2)若关于
的不等式
在
上恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a367909f2f4c8f31102b6845c9553c3.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e94f16d5ed858699bfea5039a7bf8ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fbc901cbdb68130ddac3174583dd93c.png)
(2)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d96f30e9371643a1d1fa6477b9a9bcdc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9f88173ef0c29bedd0155b7893d2474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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|
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3卷引用:2024届内蒙古呼和浩特市高三第二次质量数据监测理数试卷
3 . 已知函数
.
(1)若
,求不等式
的解集;
(2)对于任意的
,都有
,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3152ccc9c00f6d5408f2b791a2743699.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2731d0b2e4060dbdfb89eb05c1d65805.png)
(2)对于任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9400642984330fb6aeaaf1a764bbe1b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4315b11ae279182270a59c1f58e8f8b8.png)
您最近一年使用:0次
名校
解题方法
4 . 已知
.
(1)求
的解集;
(2)记
的最小值为
,且
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c00c196c040e330a18551d161627aadc.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94cc25a7cf28ed096549fbae97fce40a.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d30e4faeb8359c0e72f10f01842848c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b73ac9f6c8592e734954588e85a8cec.png)
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3卷引用:内蒙古呼和浩特市2024届高三第一次质量数据监测理科数学试卷
5 . 已知函数
.
(1)当
时,求不等式
的解集;
(2)若
恒成立,求m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fdbe5e53b118daebd5219f2876726ae.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e94f16d5ed858699bfea5039a7bf8ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5dc75cba3c7645fbdc941058ac7ce54.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7b4050daa0a82b4bf66673e64177e64.png)
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2卷引用:内蒙古赤峰市2024届高三下学期3·20模拟考试理科数学试题
6 . 已知函
的最小值为m.
(1)求m的值;
(2)若a,b为正数,且
,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3aaf53f4cb544ad5cc3d4d6a678e8f8e.png)
(1)求m的值;
(2)若a,b为正数,且
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab04de6651256f6281e9f4c1dc3c7955.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1da2b23865a45bde309a556c69c7ba9d.png)
您最近一年使用:0次
解题方法
7 . 已知.
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c7679f885826301bb5a826ba7bcea01.png)
(2)对任意实数a,b,不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24785d0689c2cd647bc3e93dc28ba34c.png)
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8 . 已知函数
的最小值是
.
(1)求
的值;
(2)若
,
,且
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b789698caa1f6e6dec19e346529eaff1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab04de6651256f6281e9f4c1dc3c7955.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/054d00a127a585f7401a05d5351c6e37.png)
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3卷引用:内蒙古自治区包头市2024届高三下学期适应性考试文科数学试题(二)
9 . 已知函数.
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2a8a9f4f0d6590de86becb733bd1b6b.png)
(2)已知对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22603b09e59fdb8683d3738b8a8479a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7f5573b30734d65648f61c0a94c98de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1be3f86ac9002c46fe14c70d047c0e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10a57d1215099fab4a97db12b2fa8f14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6131a659e693e4aa1e4d81220448f6fc.png)
附:空间中
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80ead6423d505a7b4f7cdea9fd821b2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8795285fbaf9ae4a8a1c214e78db6237.png)
您最近一年使用:0次
解题方法
10 . 已知函数
.
(1)当
时,求不等式
的解集;
(2)对
,若不等式
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/512cfb50535ffe74261297ac49c8f188.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d752d8db8a05b3ec7312f6ac8b64a07.png)
(2)对
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d96b743603ab1c10330622f16db78dbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a974bb344103beaa9635e3a79e08d45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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