1 . 对于三次函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4a7a7b93fb8d0714e7d213144d58095.png)
有如下定义:设
是函数
的导函数,
是函数
的导函数,若方程
有实数解
,则称点
为函数
的“拐点”.若点
是函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/102665958440a51cb6e0a5ffd07d08b1.png)
的“拐点”,也是函数
图像上的点,则当
时,函数
的函数值是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4a7a7b93fb8d0714e7d213144d58095.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d30a27d7831de7eb0799d1bb7790e616.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a15bccf9756ec716bd5c04e2641b6441.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c17493b5da8d8a801be394166e4aa0fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a15bccf9756ec716bd5c04e2641b6441.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7abb4099138a0c0d6bca73fd15a44a5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51f54c6a9607ed1016733d3760146aba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09b29a7faa14a6e09d0db2d04f4ced03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2a4f5f47e0bf4c57c6f320bbbfdce59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/102665958440a51cb6e0a5ffd07d08b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad93e3cf56c9a48b86669534e0d3e3d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93e03ad0c315806342d6cd732a0b91a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f23d29646155e27b172ecdf263e2d702.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ceae89ecef4070b8279723621a57ecd3.png)
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5卷引用:【市级联考】广东省清远市2019届高三第一学期期末教学质量检测文科数学试题
【市级联考】广东省清远市2019届高三第一学期期末教学质量检测文科数学试题【市级联考】广东省清远市2019届高三上学期期末考试数学(文)试题【市级联考】湖北省十堰市2019届高三模拟试题文科数学试题新疆乌鲁木齐市第八中学2019-2020学年高三第一次月考数学(理)试题(已下线)第一章 导数与函数的图像 专题一 函数的特征点——零点、驻点、拐点 微点1 函数的特征点
名校
2 . 已知抛物线
与双曲线
的一条渐近线的交点为
,
为抛物线的焦点,若
=3,则该双曲线的离心率为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745de5ef1fd897d16e37464172d5e8c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19f3fa0b40fb0d9b8c62e37316ab3b04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b8aed33984ccc91282d8a1c2be27cd0.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2019-01-30更新
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4卷引用:【市级联考】广东省清远市2019届高三第一学期期末教学质量检测文科数学试题
3 . 对于三次函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cbb68078590e8785def6cb1d7e0126a.png)
有如下定义:设
是函数
的导函数,
是函数
的导函数,若方程
有实数解
,则称点
为函数
的“拐点”.若点
是函数
的“拐点”,也是函数
图像上的点,则函数
的最大值是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cbb68078590e8785def6cb1d7e0126a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ca6e08361aa2e08d2a1f7a5412f2f1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e808873b814cf720131eeed83e88bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39e9bcf592f50c752fce184b94501b99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e808873b814cf720131eeed83e88bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c68126cb016057562adb4a384e99f95d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72265aa6a453a941dca4c9592b1e9c96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76095b03d243fead89a6493614e4b68a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39e84e6c3ccc73e7186aac395ea71c17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5edbe984c36f18551fac2ecf1af85abb.png)
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2019-01-23更新
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2卷引用:【市级联考】广东省清远市2019届高三第一学期期末教学质量检测理科数学试题
4 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aed49f4f2ad72e2dd645112d7c897c2c.png)
(I)讨论
的单调性;
(II)当
,是否存在实数
,使得
,都有
?若存在求出
的取值范围;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aed49f4f2ad72e2dd645112d7c897c2c.png)
(I)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(II)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b108ab31cc093f03cf48ad65429889e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70bd29827d0c1a773eb6b6149a3a5a9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa2e8627128bf05aff857613df256e5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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2019-01-22更新
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2卷引用:【市级联考】广东省清远市2019届高三上学期期末考试数学(理)试题
5 . 如图,已知椭圆![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7aea48c44781a844b5c19191f70f61.png)
的左、右焦点分别为
,
,短轴的两端点分别为
,
,线段
,
的中点分别为
,
,且四边形
是面积为8的矩形.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/20/5951924d-34f5-4506-a8aa-4a4beb909aee.png?resizew=178)
(1)求椭圆
的方程;
(2)过
作直线
交椭圆于
,
两点,若
,求直线
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7aea48c44781a844b5c19191f70f61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f82eb4ba631d0f50d848aa6e576b379.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd3b9e816b14051f785aa5aae72b8eed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f95a62596525307343da7ff4b86cde8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98d107e77106ff1a9cb76b504bbc99bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97c01fdc7bc471af0b264a04aef0823e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43a71fc9c0068109dad1382354570665.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92e5d91f4f631c580c155eba8c92bda4.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/20/5951924d-34f5-4506-a8aa-4a4beb909aee.png?resizew=178)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97c01fdc7bc471af0b264a04aef0823e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfe6ec521cce2733251f4e65ed6418a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
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2019-01-22更新
|
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2卷引用:【市级联考】广东省清远市2019届高三上学期期末考试数学(理)试题
名校
6 . 对于三次函数
有如下定义:设
是函数
的导函数,
是函数
的导函数,若方程
有实数解
,则称点
为函数
的“拐点”.若点
是函数
的“拐点”,也是函数
图像上的点,则函数
的最大值是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25c016b963d231b8788d74b06a13b261.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7321242e5ab769561d5b33e905eb833.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4abb71133514fc6b3384a2535549d59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f6bfdb24ecf5da863405c2b40936ff9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d14f5f1c919e8ccbc51d23bc21285bc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4abb71133514fc6b3384a2535549d59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5051d4dc48a5402652a387a5bb6944b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddf0762ad14175fdeb61375995c7971e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db40d5295942e85ec07a3728c7ad308d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f40c49f9c95cb6e05d319f5d1a75219.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8076dfd25063827da4821bc2fad898f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/227d19e83b359e3e1b7de6badad04fbc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba4e318eba446aef74e47ff27fda7bc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5569874f510741abaa4782224fd001f0.png)
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2019-01-22更新
|
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2卷引用:【市级联考】广东省清远市2019届高三上学期期末考试数学(理)试题
7 . 下列命题中正确的是
A.在![]() ![]() ![]() |
B.“![]() ![]() |
C.命题“![]() ![]() |
D.命题“若![]() ![]() ![]() ![]() ![]() ![]() |
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2019-01-22更新
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2卷引用:【市级联考】广东省清远市2019届高三上学期期末考试数学(理)试题
8 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efd4be6b2d06f9d25876b64dbd8557a5.png)
(1)讨论
的单调性;
(2)若
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efd4be6b2d06f9d25876b64dbd8557a5.png)
(1)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d479a86a1711709b2d100fe4daf3e7cf.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e6a6efc4bbe0246614b8dcd5a2e5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2019-01-19更新
|
725次组卷
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4卷引用:【市级联考】广东省清远市2019届高三第一学期期末教学质量检测文科数学试题
9 . 已知椭圆
:
,
、
为椭圆的左右焦点,过点
直线
与椭圆
分别交于
两点,
的周长为8,且椭圆离心率为
.
(1)求椭圆的方程;
(2)求当
面积为3时直线MN的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f392d61933568d27a27568c6298365bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4be1a9dd9a12e7a10fcc605ebf80bd78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a09a8ac969e5cec3be6abf4ff44c692e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce6758b8b074d33ea9e82818593656e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce6758b8b074d33ea9e82818593656e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad57e3727b7bbd795b05332fbf9649e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba12d3ea1b954f413de278ab3e3fd53e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8eff998d034284391ca064755fa6bf1b.png)
(1)求椭圆的方程;
(2)求当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba12d3ea1b954f413de278ab3e3fd53e.png)
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2019-01-19更新
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2卷引用:【市级联考】广东省清远市2019届高三第一学期期末教学质量检测文科数学试题