名校
解题方法
1 . 已知函数
若对
,
恒成立,则实数
的取值范围为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0692e3a40477d2a9d278994357ab38d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b25ae827d58ce28dd01b4da7ee12a28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24275a2408af47811935ccb90e94ab36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2024-02-04更新
|
428次组卷
|
5卷引用:3.1.2函数的表示法(第2课时)
2 . 若函数
且
在
上的最小值与最大值的和为3,则函数
在
上的最大值是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05aeea97cf191d12184b53d7ed9f7bc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cc2e93cee2e6a921b66d250bd046b33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/304226ca50149b49702928e44d565964.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c083933b9ecc7c3d846f9546b4c27781.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/304226ca50149b49702928e44d565964.png)
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解题方法
3 . 若函数
在
上的最小值为1,则正实数
的值为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa2e44fd7b9d323a2c4e8962c3e0d6a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb87c830a03204a5b783ad4c2ba49c4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
4 . 若函数
(
且
)在区间
上单调递增,则实数
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/036805e29ee0044c061c52050d2b4c00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddbb8723d1e1c4baecd58228c0e269be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
5 . 已知方程
,求
的取值范围_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0020d2651a83f00d9051c99b7d5f1ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
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解题方法
6 . 已知函数
,
且
,若对任意的
,存在
,使得
成立,则实数
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/368b68dca4c8834b41998f36b7a34756.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e29f31c680c642741f94b7724e61c4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37fa1476cf3552b9ae91ef039b1c6c80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50a69bba3f36fe0f0e28725a7af1f239.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18ab682239a56af18a7c79c0d1d3dd3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c325eb8d56efe097f20d20c9489a5df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
7 . 已知函数
,
,对任意
,存在
、
,使得
,则实数
的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32ad21be03396186c3583037218bdbeb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/508ff88e3f5df1ef773418557be8c1a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/937af3f0851f79f4959ae45611228c22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40e7aaba3aeea4ed13d49f6bf9f6a17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f981c9b8c7e16ab31be1ef569d14909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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解题方法
8 . 已知函数
在区间
上单调递减,则实数a的最大值是_______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d0ff7ac083b888d0055e49bf130a6e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3654254401fc902c3cb4912969f21f88.png)
您最近一年使用:0次
名校
解题方法
9 . 已知
,若对任意
,
恒成立,则
的取值范围是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73254f32b6da29ecc32df2e9f87a4c97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e76fb7eb4f23d41133134e58bdee859.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18f0281e6bbdbe08beeccb55adf84536.png)
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解题方法
10 . 设函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e764b6b47a962ea38223a943a95b3ef6.png)
①若
,则
的最小值为__________ .
②若
有最小值,则实数
的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e764b6b47a962ea38223a943a95b3ef6.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f22a4a0dd7307a1323d25331e60782d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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