名校
1 . 已知
,则曲线
在点
处的切线斜率为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a34206a83c04f3d6a64f51800fc83d52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c6715d5b63d9470c6e6980940141da0.png)
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7日内更新
|
145次组卷
|
2卷引用:陕西省咸阳市实验中学2023-2024学年高二下学期第三次月考数学试题
名校
解题方法
2 . 已知点
在函数
的图象上,则
到直线
的距离的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae911d5ca13a706e2172e81e348a06e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36dd638850caec98817952b1b63615b9.png)
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3 . 若函数
,则函数在
处的切线方程为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d93919368b444782513b3ab0de59d229.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99c6875d552e9fff3c7d655f3a59b166.png)
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4 . 已知
是
上的偶函数且满足
,若对
,
恒成立,则实数a的取值范围为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0780c37e42419d65bdabf31b41f24934.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d96b743603ab1c10330622f16db78dbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93d70d2a3c9ff48faf18a6f2acd79d8f.png)
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解题方法
5 . 已知定义在
上的函数
可导,且
不恒为0,
为奇函数,
为偶函数,则下列说法正确的是__________ .(填序号)
①
的周期为4;②
的图象关于直线
对称;③
;④
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d7661d3fc28f785b438ad8c8f9d240a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/570df03fef42aece12560212ba3a64e0.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d31f9ce464f2ce3b24833b70595941c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4547fb0efd94f97e05a7445024e4248d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e45c6a3257fbcdad846c8ec9adab6a2.png)
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解题方法
6 . 已知
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43300bb68b63a673a3f43afeebe4e2ff.png)
_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2afc1a3fa834aff9b577633141445057.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43300bb68b63a673a3f43afeebe4e2ff.png)
您最近一年使用:0次
2024-06-04更新
|
387次组卷
|
2卷引用:江苏省海门中学2023-2024学年高二下学期5月学情调研数学试卷
名校
7 . 曲线
上的点到直线
的距离的最小值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd9bd66038f4f568836dd6c3d10cdfe3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab36aefa3c588e4a3ac3fc6b41a9cab4.png)
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名校
8 . 若定义域都为R的函数
及其导函数
,满足对任意实数x都有
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0821e81568955037340cae0dccfe6b5c.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7238b1c8968a4b06d69f97987ee4a538.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0821e81568955037340cae0dccfe6b5c.png)
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2024-06-03更新
|
267次组卷
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2卷引用:湖北省云学名校联盟2023-2024学年高二下学期5月联考数学试题A卷
9 . 已知函数
,
是
的导函数,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db6d3eb901eeb076c8907439ee89ec77.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6d5b0943a8e74c4794060c2a14b523e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db6d3eb901eeb076c8907439ee89ec77.png)
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2024-05-06更新
|
273次组卷
|
2卷引用:辽宁省部分学校2023-2024学年高二下学期6月份阶段考试数学试卷
名校
10 . 若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/009faf90dc1ad59216da4451c47c162a.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de8171f910574d5137b6cb90ebe99bea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/009faf90dc1ad59216da4451c47c162a.png)
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