名校
解题方法
1 . 已知A,B分别为曲线
和直线
上的点,则
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64556964e96afd3147146c840157a6f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6b3ba8cc918cbc35312705dd2647bc2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4dfec890cdfdda355e19463f3be813.png)
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2 . 已知双曲线
的虚轴长为4,C的一条渐近线与曲线
在
处的切线垂直,M,N为C上不同两点,且以MN为直径的圆经过坐标原点O,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2105999d86d0256b5fb90f814b305f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2b9643da0c0fea4f099f9a9133d6076.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9444dc753b82bcc92bc9de494a9d7547.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e1c67633edc332efdbd4ceaf9e6244f.png)
A.![]() | B.4 | C.![]() | D.2 |
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名校
3 . 已知函数
,且曲线
在点
处的切线方程为
.
(1)求
的值;
(2)求
的单调区间与最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b31a27bfeaeadeaa28e7ff9b3a1a1db6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ea9824af71c9da5db5a00ec06063024.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bc72f893adc42d9b0fb226b6be391a3.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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名校
解题方法
4 . 已知函数
,且
图象在
处的切线斜率为0.
(1)求
的值;
(2)令
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7629ed91657427a9ab96120cfc9a6a4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c765461ae1a6c70f5cbdcb6c932a22b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
您最近一年使用:0次
2024-05-31更新
|
780次组卷
|
3卷引用:福建省南平市2024届高三下学期第三次质量检测数学试题
解题方法
5 . 已知曲线
在点
处的切线方程为
.
(1)求a,b的值;
(2)求
的单调区间;
(3)已知
,且
,证明:对任意的
,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58a274b0623171972513340511781ccc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5828873f8369183faf71181cda5b61d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f2e4560759a110e4ccc334e3ccea7e4.png)
(1)求a,b的值;
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b9c008f8fcc8edcd68fb14e0727fa49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bccf433ec08ad06d0e8a7eb53f5143ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/734a6de235c7c5205eb3d81109f04abf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e176b379350d3bbdbb923c2e8435f011.png)
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解题方法
6 . 已知函数
,且
在
处的切线方程是
.
(1)求实数
,
的值;
(2)求函数
的单调区间和极值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/082ece762ffbf92921f4685d45f5166d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11f31cba6e8a2a234dfb5b2f7e909b3a.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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解题方法
7 . 已知函数
(
,
)在点
处的切线方程为
.
(1)求函数
的极值;
(2)设
(
),若
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae435e8177f5269c671a5b7de47ae85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2dd0914dc4d4c7f75710ff460a286fcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5828873f8369183faf71181cda5b61d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f1d8d5cea065075fe50706abe3ae802.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/335afda0a0f5fe4b78d257977828b110.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcd9218a657b17654c5d757a6f7dee9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85187c85826beeca12137805293fff77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
名校
解题方法
8 .
.
(1)若
的图象在点
处的切线经过原点,求
;
(2)对任意的
,有
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc75d573a99fb4f11396d28bc2eed586.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afd3ffc5e95e5f22723402501c9916b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
(2)对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac4cbc7b067862a3d9c6789b392fc068.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52096e4e09e4924f722ec78f3cb7fe41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
9 . 已知函数
,则下列命题正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c44b295fec512c964da60e5e409a998.png)
A.若![]() ![]() |
B.若![]() ![]() ![]() |
C.存在实数![]() ![]() ![]() |
D.存在实数![]() ![]() ![]() |
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解题方法
10 . 已知函数
在
处的切线方程为
.
(1)求a的值;
(2)证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cdb71abfbb80802d1782fc798506524.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb45f673c56a289ea78831c9237e8d20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2a7df955fc17e92fd86302f8c34664a.png)
(1)求a的值;
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f7a75bcd70f6b1a6d02dbb92e964e1b.png)
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