解题方法
1 . 已知函数
.
(1)当
时,求
的极值;
(2)函数
在定义域上为增函数,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c82ae2dff8fe64fb957b4622618a97e2.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd876a2ed79c64bacc3e64b8ee92735e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2 . 已知函数
在点
处的切线方程为
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5828873f8369183faf71181cda5b61d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8262240fd443ffde3d0a0533144d342.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a7a779e7150027ff56c6a2b3f8d2e37.png)
A.2 | B.1 | C.-2 | D.-5 |
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3 . 已知函数
.
(1)讨论函数
的单调性;
(2)当
时,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/184a5ea8e818f3c09fdbff0a610b6118.png)
(1)讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bec9aa46c5ab9f4be19cb6985bb4222.png)
您最近一年使用:0次
名校
4 . 若
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4009bf67cb4181e3fb8e6527ddbc8c33.png)
A.若![]() ![]() |
B.若![]() ![]() |
C.若![]() ![]() |
D.若![]() ![]() |
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7日内更新
|
263次组卷
|
5卷引用:广西重点高中2023-2024学年高一下学期5月阶段性联合调研考试数学试题
解题方法
5 . 函数
在
上的最大值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37afa854716507fca59b6210f79ed59b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b97ab84192e12bb292bc9fbd0b29fbee.png)
您最近一年使用:0次
解题方法
6 . 已知函数
,
,
,
,则
,
,
的大小关系为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4781d6433ae258691136003013df74b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff87f3ca64b16a55c0f070d3666cf01b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b17b9ba72a83a45d274fb0c14043e70a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d193f345c773ff0a024ecfedcd3fdd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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7 . 函数
在
处的导数
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b26a335e84277c46141f7f8b16347bac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a945357aa4d7cb2bd48c28af862a3078.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c827ecdfcc994b20c134f3fa2eb0691b.png)
A.1 | B.2 | C.3 | D.4 |
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8 . 已知
,则
在复平面内对应的点所在的象限为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/886f680cbf7c5db976959baeba6a6415.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99b94b9038a91618c6f614bb7634220d.png)
A.第一象限 | B.第二象限 |
C.第三象限 | D.第四象限 |
您最近一年使用:0次
9 . 已知函数
.
(1)若
,
,求曲线
在
处的切线方程;
(2)当
时,曲线
过点
的切线有三条,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94daf1031a5e70ef28c527051536f531.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03837b3769eda7f0d3804cc5ad4a6d60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/019eb94a6a2b38308811470d860e1a20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/115a0c87ac14dbb770c95d74d6e26073.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
10 . 在高台跳水运动中,某运动员在
(单位:秒)时的重心相对于水面的高度
(单位:米)满足关系式
,当
时,
的平均变化率是
米/秒,则当
时
的瞬时变化率是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eabd5f3a86afe49dcd70571e2b96cfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efab745953d01c049def56784116346e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/315a7c9116c9e068f6ec86308f2edbbc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eabd5f3a86afe49dcd70571e2b96cfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32e22e1223baf7cb3d53e668c2449609.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f66884efff7400f92b530d69d029778d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eabd5f3a86afe49dcd70571e2b96cfd.png)
A.![]() | B.15米/秒 | C.![]() | D.25米/秒 |
您最近一年使用:0次