1 . 已知函数
.
(1)求函数
在
上的单调区间;
(2)若
时,
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66134e2ddbd44bfab7b0422f282b5359.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb0e705301752424a492f6277ed7774e.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d0ef84a5313836c19ed0f91a28b3295.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2023-10-19更新
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2 . 已知函数
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c177ca673c2321caa7f7a3f17b076993.png)
A.![]() | B.![]() ![]() |
C.函数![]() | D.不等式![]() |
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2023-10-11更新
|
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3 . 已知函数
(
,
为自然对数的底数)在
处的切线与
轴平行.
(1)求
的单调区间;
(2)若
有两个零点,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c0b9de79821b4cca98cb89c554c8d17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/041a7c8fc017f596542c5e6ec7d1c40b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb45f673c56a289ea78831c9237e8d20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5dbad4d3c3680454e147fb5aa1a1f36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2021-08-27更新
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2卷引用:贵州省六盘水市红桥学校2022届高三上学期适应性月考数学(文)试题
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解题方法
4 . 已知函数
,
,
.
(1)当
,
时,求证:
;
(2)若
恒成立,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41390c499f3dcec5e7122a96f30915af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/143b917df0520097be222accbddf9394.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6eecdb2efe6f97677647ab673dfd4256.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2cbbf4d5b8ecbfccc5de39781396d07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18f0281e6bbdbe08beeccb55adf84536.png)
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贵州省兴义市第八中学2024届高三上学期第八次月考数学考试题安徽省安庆市2021届高三下学期二模理科数学试题广西南宁市第三中学2021届高三收网考数学(理)试题(已下线)第19讲 不等式恒成立之双变量最值问题-突破2022年新高考数学导数压轴解答题精选精练河南省示范性高中2021-2022学年高三下学期阶段性模拟联考三理科数学试题广西梧州市黄埔双语实验学校2022届高三上学期期中考试数学(理)试题
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5 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e19feaccf46877b7c10fa7ca8b9cd2f1.png)
(1)求函数
的单调区间;
(2)若
,证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e19feaccf46877b7c10fa7ca8b9cd2f1.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6dd0bd0ec851a24796dce8d6f170018.png)
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2019-04-11更新
|
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6 . 已知函数
.
(1)求函数
在区间
的最小值;
(2)当
时,若
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c42166c7edfef2b96e3c4f7d4b20a2b.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d479a86a1711709b2d100fe4daf3e7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7eba2e2e5107162bf3b71f41a7e40f4.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3774aad147182f3b55a223a7590b1c4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c6843a66d8f5d75d27993f9b3474eab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d50bf123299a353ee8c45e7fb157691.png)
您最近一年使用:0次
名校
7 . 已知
.
(1)若
,求
的取值范围;
(2)若
,且
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d2a6b211813154d368fe66c5cb4ee6d.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22e38c541dec8fce1d26886e5ef7d21f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/859458471c86ae39e0cc42d2d960d03e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c7847abd5a830ff448f260b5107ac52.png)
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8 . 已知函数
(
),![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5098de78e67dce15ecedbb3bdb098cb.png)
.
(1)求函数
的单调区间;
(2)当
时,是否存在实数
,使得
时,函数
图象上的点都在
所表示的平面区域内(含边界)?若存在,求出
的取值范围;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/135c32c114aaeb3b4aaf8c99e6e9e87e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c0e9d1ad9561d693958756ee8398218.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5098de78e67dce15ecedbb3bdb098cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab03556c333ab0b55fe86c937b2a5763.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6ea71630518e303499f9a6cbc705bad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ad05719025457903d1b5d5c7b99f97f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27163fd8f5e6e71a1cfb8d663d6ce1b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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9 . 已知函数
,其中
,
.
(1)当
时,
在
处取得极值,求函数
的单调区间;
(2)若
时,函数
有两个不同的零点
,
①求
的取值范围;
②求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6a2739f629caf794a9a1991cff297b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19339e3904e9541ff26b30ae5f1242b2.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a3c442579603164f3fc19458677d307.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a20457d180264f78d611dc7893d735.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d94188fea61c347a150744709920d96e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
①求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
②求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5d0345db6b2e6ebfb1fab6f3b72282c.png)
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