1 . 曲线
在点
处的切线与两坐标轴所围成的三角形的面积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36ff344f9787630e368039f0ab0b4471.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c9f8845aa2b51c460f2d798c9f62fa3.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-06-10更新
|
335次组卷
|
2卷引用:贵州省部分学校2024届高三下学期联考数学试卷
名校
2 . 已知点
在函数
的图象上,点
在直线
上,记
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c1f9fea37dc018e029811599e3948f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cc13f1877a59f1cedcc8eb9c5ea23a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67e03dea88dc9534ea4833eb0573cd9c.png)
A.当![]() ![]() ![]() |
B.当![]() ![]() |
C.当![]() ![]() ![]() |
D.当![]() ![]() ![]() |
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3 . 已知函数
.
(1)当
时,求
在
处的切线方程;
(2)当
时,求
的极值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af3d31b1ff6b85a44ff9525706423bf3.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b4d795709b0abcf47bceec2250f2f9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
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4 . 已知
,则
在
处的切线方程是____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f69e5b72d1d61fee1cd8f15e07b15177.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccc8350b12974ffc8d06fce36d158f02.png)
您最近一年使用:0次
5 . 已知函数
.
(1)当
时.求
在
处的切线方程;
(2)若方程
存两个不等的实数根,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59ad477261f1bc0806f0576e237c6fb4.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/5bea9227dd0104da58e0c40952cc87ed.png)
(2)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36304ea6666a32973641e4794c285297.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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6 . 已知函数
.
(1)若函数
有两个零点,求实数a的取值范围;
(2)已知
,
,
(其中
且
,
,
成等比数列)是曲线
上三个不同的点,判断直线AC与曲线
在点B处的切线能否平行?请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cc1b193aa193153eb402df8560778e6.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0384a0466920e5bf00231a5c5bf77969.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12a3efb79f35db8448f3391252ab7d4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8df332f01628130c084fd46aaca0a4b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c16dac1e9bf5804c8907cbc59014d04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1310a7a80d1f8751a3f8cafe7f8c8b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/291c25fc6a69d6d0ccfb8d839b9b4462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
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7 . 已知直线
与函数
的图象在
处的切线没有交点,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a55dc18e9c696a2b99045dd0b9f6c0aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1589089e6d81b2e0bc029ef8b299256a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f3cb8d72bb2e281b943b3b430138ef7.png)
A.6 | B.7 | C.8 | D.12 |
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8 . 已知函数
.
(1)求函数
的单调区间;
(2)设
的图象在点
处的切线与
的图象相切,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37fc5d14f77099f55ca73e050c3c22b4.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53a948d2f7732d7f03e986c63712089b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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9 . 写出函数
的一条斜率为正的切线方程:______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/841c2b8063fbf48858b7526fed1a1e90.png)
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2024-04-13更新
|
570次组卷
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2卷引用:贵州省贵阳市清华中学2024届高三下学期5月高考临考预测数学试题
名校
10 . 已知
,函数
有两个极值点
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745517e274454ede1c2169e1b3cd263d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
A.![]() |
B.![]() ![]() ![]() ![]() |
C.![]() |
D.![]() ![]() ![]() ![]() |
您最近一年使用:0次
2024-04-10更新
|
529次组卷
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2卷引用:贵州省毕节市织金县部分学校2024届高三下学期一模考试数学试题(一)