1 . 已知
,函数
.
(1)讨论
在
上的单调性;
(2)已知点
.
(i)若过点Р可以作两条直线与曲线
相切,求
的取值范围;
(ii)设函数
,若曲线
上恰有三个点
使得直线
与该曲线相切于点
,写出
的取值范围(无需证明).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1a541eb18a643831fe54cadb67b81da.png)
(1)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/367ffd3e465f20c51eabb241d775dfa0.png)
(2)已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b11d32a6773d9324124836aa3de36f98.png)
(i)若过点Р可以作两条直线与曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78735d41a7f51aff657fa3ca3064cca7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(ii)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6a5e0dc63f0ba031b3189dbba6ce35f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f786a5701dc1a8a015e8843c3360151b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f51f45600b3861764880a22402bc51d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/603789eae75bb73bbdec868fa8ee8f19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b97c28585cf80e2b403c8e23ac391573.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2023-05-05更新
|
1002次组卷
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3卷引用:吉林省长春市第二中学2022-2023学年高三下学期第七次调研测试数学试卷
名校
2 . 若过点
可作曲线
的两条切线,则点
可以是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4562f3225c98cf5cb11b47d98c9cc9c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18d8f2ffa8f1b85c0fb5c3ac7ade6162.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4562f3225c98cf5cb11b47d98c9cc9c3.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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3 . 已知函数
,点
、
是函数
图象上不同的两个点,则
(
为坐标原点)的取值范围是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bc8be5e92c67cf6cc5099ec04728522.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d63711c480473cbc27a06cdb82ddd000.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
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名校
4 . 曲线
在点
处的切线经过原点,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bffd29b2e8192d673308bdf8d5cb6cab.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d68a1bf675a2fd319cbf6590bb4abb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43db00e106c7d08a76a7ba71ca5e63d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bffd29b2e8192d673308bdf8d5cb6cab.png)
您最近一年使用:0次
2020-05-05更新
|
576次组卷
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4卷引用:吉林省长春吉大附中实验学校2023-2024学年高三上学期第一次摸底考试数学试题