1 . 已知函数
,给出以下说法:
①当
时,
有三个零点:②过
的直线与
和
都相切,则
;
③若
,则
;④
的图象的对称中心为
.
其中说法正确的有________ .(填写所有正确说法的序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78c26ca70f2598f34885b61eac85e010.png)
①当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7b3a98af50d483a66026b8179e93c6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b2c84e7b41a841a230ed5f8a42309aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/344ccbf79da6ad7e3709d6fa72efb756.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e0b28126fc71f25ea7e92be595b26f3.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49d8d4a04bcba8f18260d0018383824f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a2a51944c720568f35d443589dfc1aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/859f10c0e95f7ae1e975e33d123a28e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5dc085f908df6ac3702da90e091eb20e.png)
其中说法正确的有
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2 . 已知函数
,曲线
的切线l的斜率为k,则下列各选项正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6742d703741172e98e2c621f580b63f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
A.![]() ![]() |
B.![]() |
C.当![]() ![]() |
D.当![]() ![]() |
您最近一年使用:0次
名校
3 . 已知函数
,直线
与
的图象交于
两点,在
两点处分别作
的两条切线
,这两条切线交于点
,则b的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2a3fc4e13546649a3a5a77572a43dde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8186e4ced58286213e2aefef78fc566.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44434b647ec546fe787e2164e0be6cd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bec550c01b4f075f22ab67f5e55ed5d.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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4 . 已知
为坐标原点,点
,线段
的中点
在抛物线
上,连接
并延长,与
交于点
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe7710a0e5bc7aacee2266024461814d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82ea1be9b9b6bb12afa7e1ce703d1603.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
A.![]() ![]() | B.点![]() ![]() |
C.直线![]() ![]() | D.![]() ![]() ![]() |
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5 . 已知曲线
在点
处的切线
互相垂直,且切线
与
轴分别交于点
,记点
的纵坐标与点
的纵坐标之差为
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e68a6b8a7af6bcf877b5def476fd68a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f571aeb8716b9499ff278459d849f84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44434b647ec546fe787e2164e0be6cd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44434b647ec546fe787e2164e0be6cd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91e1e4115d78e625e9e0f47cdade3286.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
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6 . 已知抛物线
的焦点为
,以该抛物线上三点
为切点的切线分别是
,直线
相交于点
与
分别相交于点
.记
的横坐标分别为
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42102c1c07562853219ca5918803a27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8801df26d9cb76bc289b64a3a26902e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44434b647ec546fe787e2164e0be6cd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a207ed5a6ca4f7ae2b94b3fa9dac411f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44434b647ec546fe787e2164e0be6cd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a65183d238c9bc2be73770717d890683.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05b8ec9d4206ea66a02de5c4a1e1e911.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2023-02-13更新
|
2161次组卷
|
4卷引用:江苏省南通市2023届高三下学期第一次调研测试数学试题
7 . 对数曲线
关于直线
的轴对称图形
是什么函数的图象?对数曲线在
处的切线关于
的轴对称图形是曲线
的切线吗?试说明你的理由,并判断该切线在曲线
的上方还是下方.由此你能得出什么不等式?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12be206d66e65eb92ef08bad8cd8f71d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46d00236ece53eb4096f2790ac7558d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53a948d2f7732d7f03e986c63712089b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46d00236ece53eb4096f2790ac7558d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46d00236ece53eb4096f2790ac7558d8.png)
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解题方法
8 . 已知抛物线
,F为抛物线C的焦点,下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc7ad3432ac96b0a38beaa7f2edc3499.png)
A.若抛物线C上一点P到焦点F的距离是4,则P的坐标为![]() ![]() |
B.抛物线C在点![]() ![]() |
C.一个顶点在原点O的正三角形与抛物线相交于A、B两点,![]() ![]() |
D.点H为抛物线C的上任意一点,点![]() ![]() ![]() |
您最近一年使用:0次
2023-02-12更新
|
1887次组卷
|
5卷引用:广东省茂名市2023届高三一模数学试题
名校
解题方法
9 . 已知抛物线C:
,过点P(0,p)直线
,AB中点为
,过A,B两点作抛物线的切线
轴=N,抛物线准线与
交于M,下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b35f0b940c8422ef47edc3b7ce55e47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acf09493a733e7fa1ec15c2ba2be5ff7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a86380a6d6501f6504dcb4aa5e3099f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d18bd45a8f65a6fcc4f6b058f118404c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fba4c1f5542a885fdfb4d9a708a6f91.png)
A.![]() | B.O为PN中点 |
C.![]() | D.M为![]() ![]() |
您最近一年使用:0次
22-23高三上·河南·期末
10 . 已知曲线
与曲线
在
处的切线互相平行,记
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c316ab10c31bf2d96760676f1856fb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62b9ae52b951ec0aef4903abc93ddafd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8be73849eea99268aec9dd98d9dbd24b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5240a7a25bbd40a6d8ac393de762759e.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次