名校
解题方法
1 . 函数
的单调递减区间是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44f13b3669ee8f463b2d8da4989c90c1.png)
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解题方法
2 . 已知正实数
满足
(
是自然对数的底数,
),则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280860dd039e1305a5ccc455f63e8223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba412d4d07c2b6203b52ce006f1728ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/041a7c8fc017f596542c5e6ec7d1c40b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e25da8298b6a96d627f3e8c990e55f0c.png)
A.![]() | B.![]() |
C.![]() ![]() | D.方程![]() |
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3 . 设
,
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ee07d019346f09d45f08f61c153b858.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ce51f90428d59edb5e8ab31f0a12862.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7826f195ae3e24d3fa2d5043d30db41.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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4 . 已知函数
在
上的导函数为
,则“
是函数
的极值点”是“
”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a68a65126b7e2d009d067f80c34f939d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/055562d6b8e8114adca3206f3bb5f253.png)
A.充分非必要条件 | B.必要非充分条件 |
C.充要条件 | D.既非充分又非必要条件 |
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解题方法
5 . 函数
,则下列结论错误的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01fe3c665aea8f799e1897073ddb345d.png)
A.![]() ![]() | B.![]() |
C.![]() | D.![]() ![]() |
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6 . 已知函数
.
(1)求
的最小值;
(2)设函数
,讨论
零点的个数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ffb296c54f3ac746d3a0c503f888126.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cffa662f0273f0921c1fa4727f632395.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
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今日更新
|
112次组卷
|
2卷引用:2024届湖南省长沙市第一中学高考最后一卷数学试题
名校
7 . 已知![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff155a45064c89405138dd0376c58644.png)
(1)当
时,求
在
处切线方程;
(2)若
在
恒成立,求
的取值范围;
(3)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff155a45064c89405138dd0376c58644.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab42740d8f095b5f7825d14c4c312096.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c7b69e93488fcd2a195cb9793e94fc7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f9331d0d64b8f86ce6b75cc29805ff0.png)
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8 . 已知函数
,且
.
(1)讨论
的单调性;
(2)若方程
有三个不同的实数解,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a38c7516e436ac50944c7e458512f889.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f28b08682efa2692b052f64fe1448fce.png)
(1)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04d728ffe921d0a87b909fd266243a09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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9 . 已知函数
.
(1)求函数
的图象在点
处的切线方程;
(2)求函数
在区间
上的最大值与最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eedaa6aad781cb80241b78ae9d4c97cc.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9770b18d9984172e6c08bf0921ec4200.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17b63fb475fbdacbbb8eb2bf6a6716d2.png)
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10 . 已如函数
,若函数
仅有一个零点,则实数a的取值范围是______ .(结果用区间表示)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fffe860819ba190a8de7defa4c168367.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039f9392112593405d4c0f1bea7d31f3.png)
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