1 . 已知抛物线
的焦点为
,
,
为
上的两点,过
,
作
的两条切线交于点
,设两条切线的斜率分别为
,
,直线
的斜率为
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82e1ba94066bb15ce4f20d8990885d18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6defc43285a40f7ccb74c1cc04265eba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423b7ae39db552e60ee8b1d27312306f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbf434334b09cc0fdd4e86e84e6ceb00.png)
A.![]() ![]() |
B.![]() ![]() ![]() |
C.若![]() ![]() ![]() |
D.若![]() ![]() ![]() ![]() |
您最近一年使用:0次
今日更新
|
189次组卷
|
4卷引用:山西省临汾市部分学校2023-2024学年高二下学期5月质量检测数学试题
解题方法
2 . 已知
是函数
的极值点,若
,则下列结论 正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0c59c7b0d2b3b4f68413b1507659daa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1da9b6e8e0364409ddb028e268160a6c.png)
A.![]() ![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
3 . 记
为函数
的
阶导数,
,若
存在,则称
阶可导.英国数学家泰勒发现:若
在
附近
阶可导,则可构造
(称其为
在
处的
次泰勒多项式)来逼近
在
附近的函数值.下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a33cfe27fd2276a7c542f062c17b4d85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca1842ac8cd2d27c19a5b1593a966687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a33cfe27fd2276a7c542f062c17b4d85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ff9f84126baf13c7f5787c360286ac5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a0876215b2fd463d151523cd3c6b447.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9e8b9c5a9a2e7f44ed712c9d4cc42a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79b752f0f189e5d8666daea73e145dff.png)
A.若![]() ![]() |
B.若![]() ![]() |
C.![]() ![]() ![]() |
D.![]() |
您最近一年使用:0次
名校
4 . 若关于
的方程
恰有三个不同的正实数根,则实数
的值可能是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4189c1b83df7aeeb4879a949a4ade853.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.7 | B.![]() | C.8 | D.9 |
您最近一年使用:0次
5 . 记函数
的导函数为
,已知
,若数列
,
满足
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e89220eb96a4757f2988362bc04e80c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70d5b8931a8e00ee76722cb0822033df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9f5dfad8ce439cba7611b8dfcfa444d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/390a278d91cd4bddb76e4d8b819be61f.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2024-04-13更新
|
630次组卷
|
6卷引用:山西省运城市康杰中学2023-2024学年高三第十九次大型考试数学仿真训练试题
山西省运城市康杰中学2023-2024学年高三第十九次大型考试数学仿真训练试题2024年普通高等学校招生圆梦杯统一模拟考试(四)数学试题及答案(已下线)第16题 抽象函数与数列结合(一题多变)(已下线)压轴题05数列压轴题15题型汇总-3安徽省六安第一中学2024届高三下学期质量检测(三 )数学试卷安徽省六安第一中学2024届高三下学期三模数学试题
解题方法
6 . 已知定义域为
的函数
的导函数为
,若函数
和
均为偶函数,且
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.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/5f12a956c3b4ec7dbd54ae4cf21f8fdd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44590c06bb3c0d1acac92aa352e6e5dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4efdb91cdf937f713e7859b68cc04756.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
7 . 已知定义在
上的函数
,其导函数分别为
,且
,
则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8fd1e808e015f4cb43d2e3a0529ac6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e450b4ca055adb69a16f4c4d09ce3a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/293ea148ee3639536c8fdf1880d314e1.png)
则( )
A.![]() ![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2024-03-12更新
|
1176次组卷
|
8卷引用:山西省部分学校2024届高三高考考前巩固卷数学试题
山西省部分学校2024届高三高考考前巩固卷数学试题河南省TOP二十名校2024届高三下学期质检一数学试题河南省TOP二十名校2024届高三下学期质检一数学试题江西省部分学校2024届高三下学期3月月考数学试题湖南师范大学附属中学(思沁校区)2023-2024学年高三下学期3月月考数学试题(已下线)大招4 周期性(已下线)湖北省七市州2024届高三下学期3月联合统一调研测试数学试题变式题11-15(已下线)第2题 复合函数与抽象函数(压轴小题6月)
名校
8 . 设函数
的定义域为
,且满足
,当
时,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ea546249febf18bc181fad761e548cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcac1e85463a3177f487d896b3d1d24c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cc1b193aa193153eb402df8560778e6.png)
A.![]() |
B.![]() |
C.![]() ![]() |
D.![]() ![]() |
您最近一年使用:0次
名校
解题方法
9 . 已知函数
及其导函数
的定义域均为
,记
,且
,
,则( )
![](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/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c765461ae1a6c70f5cbdcb6c932a22b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fee33c0119f6413dc9369270f917b47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/451063eee7e0f59aff1b55656eef2201.png)
A.![]() | B.![]() ![]() |
C.![]() | D.![]() ![]() |
您最近一年使用:0次
2024-03-07更新
|
1770次组卷
|
4卷引用:山西省太原市成成中学校2023-2024学年高二下学期4月月考数学试题
解题方法
10 . 已知正方体
的棱长为
是空间中的一动点,下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0342946a0f827001a879cad686d1cf68.png)
A.若![]() ![]() ![]() ![]() |
B.平面![]() ![]() |
C.若![]() ![]() ![]() |
D.若![]() ![]() ![]() ![]() |
您最近一年使用:0次