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1 . 若存在两个正实数x,y使等式
成立,(其中
)则实数m的取值范围是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56c3d0ddf929099e8f5313dbce0323fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb6ca12a57481d558b9d33f3f3d1ccc9.png)
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2018-03-05更新
|
2698次组卷
|
17卷引用:2016-2017学年湖北省武汉市第二中学高二下学期期中考试数学(理)试卷
2016-2017学年湖北省武汉市第二中学高二下学期期中考试数学(理)试卷河南省信阳高级中学2017-2018学年高二下学期开学考试数学(理)试题河北省衡水中学2018届高三第十六次模拟考试数学(文)试题河北省衡水中学2018届高三十六模文科数学试题四川省泸县第二中学2017-2018学年高二下学期期末模拟数学(文)试题(已下线)【全国百强校】河北省衡水中学2019届高三上学期二调考试数学(理)试题四川省广安市2018-2019学年高二下学期期末数学(理)试题四川省泸州市泸县第五中学2019-2020学年高二下学期期中考试数学(理)试题四川省泸州市泸县第五中学2019-2020学年高二下学期期中考试数学(文)试题四川省泸州市泸县第五中学2019-2020学年高二下学期期末模拟考试数学(理)试题四川省泸州市泸县第五中学2019-2020学年高二下学期期末模拟考试数学(文)试题(已下线)专题3-5 超难压轴小题:导数和函数归类(2)-2022年高考数学毕业班二轮热点题型归纳与变式演练(全国通用)新疆喀什地区莎车县第一中学2023届高三上学期11月月考理科数学试题四川省泸县第五中学2022-2023学年高二下学期4月月考文科数学试题四川省泸县第五中学2022-2023学年高二下学期4月月考理科数学试题广东省六校(广州市第二中学等)2024届高三上学期第二次联考数学试题(已下线)专题2-5 函数与导数压轴小题归类-2
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2 . 已知
是
外接圆的圆心,若
且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
_______ .(
的角
所对边分别为
,外接圆半径为
,有
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc8c65bea2c80af038768b74250c694e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fe354155ddb9172a37d4c75842f48a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11bc05f41215f9894e11d1df0465751a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f54c5f5c786e00e716284fc96fe89049.png)
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2017-10-19更新
|
4420次组卷
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3卷引用:湖北省黄石市第三中学2018届高三阶段性检测数学(文)试题
2014·福建三明·一模
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3 . 已知函数
,
,且
在点
处的切线方程为
.
(1)求
,
的值;
(2)若函数
在区间
内有且仅有一个极值点,求
的取值范围;
(3)设
为两曲线
,
的交点,且两曲线在交点
处的切线分别为
,
. 若取
,试判断当直线
,
与
轴围成等腰三角形时
值的个数并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d07c2e60a27bd809f9d42831922ab7de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d90a6489404649b059df532d6012c5a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce9b75dbefbd4533803e3c301d35767e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/344cc24b575f4fd1ea7fe8ce5612fa9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5828873f8369183faf71181cda5b61d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baabfd32465e9e50409413d9c1358279.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7863b54185da5a3f1a765e1aa0577e76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afa482d7bcaa385bfc3548b42a4bfb60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d259822ab64b8626f3893b8432673358.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dfc171d14109b8c05d90711d6c7994f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc3a356bf47fddf040d30275f2a97cd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5a581381502a77b53747848894fc0ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
您最近一年使用:0次
名校
4 . 已知向量
令
.
(1)求函数
的对称轴方程;
(2)设
,当
时,求函数
的最小值
;
(3)在(2)的条件下,若对任意的实数
且
,不等式
对任意的
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4e9abdb36cb6b2c7236e18b9ba96de1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab86c099b834318553a253b7f4093074.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6a4df880ff8c0322708ca3048aa665c.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c669b6fa46d9f869d57fda3b5d66ca86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d45c81531a74a6ca319b5a0133c14aa2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca92833237dced7001aa7c39330436a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ed5e150769506b091038a197bedac38.png)
(3)在(2)的条件下,若对任意的实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a0c4c098615c6bc7e6dcf72e5b5201a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d9e1db9509e5c5e51fc59b90a30361b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09035e279726b07f525ce6e5ce68db95.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
您最近一年使用:0次
2017-06-04更新
|
2741次组卷
|
8卷引用:湖北省沙市中学、恩施高中、郧阳中学2016-2017学年高一下学期阶段性联考数学(文)试题
湖北省沙市中学、恩施高中、郧阳中学2016-2017学年高一下学期阶段性联考数学(文)试题四川省成都市锦江区嘉祥外国语高级中学2022-2023学年高二上学期入学考试数学试题四川省成都市树德中学2022-2023学年高一下学期4月月考数学试题上海师范大学附属中学2022-2023学年高一下学期期中数学试题广东省广州市华南师范大学附属中学2022-2023学年高一下学期期末数学试题广州市南武中学2023-2024学年高一下学期综合训练(二)段考考试数学试题(已下线)上海市高一下学期期末真题必刷04-期末考点大串讲(沪教版2020必修二)(已下线)考题猜想03 平面向量-期末考点大串讲(沪教版2020必修二)
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解题方法
5 . 已知函数
,其中
,对于任意
且
,均存在唯一实数
,使得
,且
,若
有4个不相等的实数根,则
的取值范围是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb6d83f1ba97c9706b2b0924acdf9a18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa204d6b5183969f6da37f369eb7293d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec80634a6e2b2c85f845fa368b3a5969.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14b8e0e181de2dfa47561cc534287eed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfb0300df32d69c5cc2db1004e3126c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c008fca3f5f409108093de3f4670243c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2017-05-22更新
|
1525次组卷
|
5卷引用:湖北省襄阳第四中学2017届高三下学期第一次模拟考试数学(文)试题
湖北省襄阳第四中学2017届高三下学期第一次模拟考试数学(文)试题2017届天津市十二重点中学高三毕业班联考(一)数学(理)试卷2017届四川省南充高级中学高三3月月考数学(理)试卷福建省漳平市第一中学2019-2020学年高三上学期第二次月考试题 数学(理) 试题(已下线)专题01 函数性质、方程、不等式等相结合问题(第一篇 热点、难点突破篇)(练)-2021年高考数学二轮复习讲练测(浙江专用)
名校
6 . 已知函数
,
.
(1)讨论函数
的单调性;
(2)记
,设
,
为函数
图象上的两点,且
.
(ⅰ)当
,
时,若
在点
处的切线相互垂直,求证:
;
(ii)若
在点
处的切线重合,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ff6838d84b68c6f0d3b93b196d9b08d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/217a9a58268c64bcaa9e4d3d4591efe1.png)
(1)讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab02445a82a190e6d680300444d4dbac.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/791f0d4b224368f8f03792c0a6f65588.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3277d2a341a864394416c42849bc13d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e382eb0a6343b2a9cc9e0eb87d5a4b69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/544f91d4fb22c571db9f8481b72a0419.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
(ⅰ)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6270bb08b90f72d5671ab8225f356c43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2fe3251e054fe97089806ba7033f802.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/544f91d4fb22c571db9f8481b72a0419.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d02b706dfb1e60e5ba6488558034484.png)
(ii)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/544f91d4fb22c571db9f8481b72a0419.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2017-05-07更新
|
1832次组卷
|
6卷引用:湖北省襄阳市第四中学2017届高三高考适应性考试数学(文)试题
湖北省襄阳市第四中学2017届高三高考适应性考试数学(文)试题湖北省襄阳四中2017届高三下学期5月适应性考试数学(文)试题湖南师大附中2017届高三月考试卷(七) 教师版 数学(文) 试题天津市第一中学2019届高三下学期第五次月考数学(理)试题(已下线)专题01 导数的几何意义的应用(第六篇)-备战2020年高考数学大题精做之解答题题型全覆盖天津市2023届高三三模数学试题
7 . 已知:抛物线m
焦点为
,以
为圆心的圆
过原点
,过
引斜率为
的直线与抛物线
和圆
从上至下顺次交于A、B、C、D.若![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7acf15f5d2b2c92ab2ff8e5fabfff731.png)
.
(3)设M为抛物线上任一点,过M点作抛物线的准线的垂线,垂足为H.在圆
上是否存在点N,使
的最大值,若存在,求出
的最大值;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98376cae1d2cf42dc70a8577f1b4bbce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7acf15f5d2b2c92ab2ff8e5fabfff731.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8930099c42933f19d18446c471738a8.png)
(1) 求抛物线方程.
(2)当为何值时,
、
、
的面积成等差数列;
(3)设M为抛物线上任一点,过M点作抛物线的准线的垂线,垂足为H.在圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b28675b4d54ce9af64e06d3b3c4e1503.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b28675b4d54ce9af64e06d3b3c4e1503.png)
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8 . 有一凸透镜其剖面图(如图)是由椭圆
和双曲线
的实线部分组成,已知两曲线有共同焦点M、N;A、B分别在左右两部分实线上运动,则
周长的最小值为:
![](https://img.xkw.com/dksih/QBM/2017/4/19/1668989218242560/1669072982794240/STEM/779fed06b9e94b65a9d1e255f9f6a77d.png?resizew=208)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f392d61933568d27a27568c6298365bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c128084a819612b0367450f0961238b0.png)
![](https://img.xkw.com/dksih/QBM/2017/4/19/1668989218242560/1669072982794240/STEM/705ebfe6e3bd49fca461e0e54ad4a97a.png?resizew=45)
![](https://img.xkw.com/dksih/QBM/2017/4/19/1668989218242560/1669072982794240/STEM/779fed06b9e94b65a9d1e255f9f6a77d.png?resizew=208)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2017-04-19更新
|
4944次组卷
|
4卷引用:2016-2017学年湖北省襄阳市四校(襄州一中、枣阳一中、宜城一中、曾都一中)高二下学期期中联考数学(文)试卷
9 . 已知动圆
过定点
,并且内切于定圆
.
(1)求动圆圆心
的轨迹方程;
(2)若
上存在两个点
,(1)中曲线上有两个点
,并且
三点共线,
三点共线,
,求四边形
的面积的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6d6f746c2355072d914591bf60c3801.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb0430d333cd603bc096ca3cb592ab6e.png)
(1)求动圆圆心
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745de5ef1fd897d16e37464172d5e8c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3d676ff4bf2f8e136835a0a702ebe53.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7555f635da615b09b7e2f08ddbeaf1db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99393efa04579f3db5cf4f7e319f0440.png)
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2017-04-13更新
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2卷引用:2017届湖北省六校联合体高三4月联考数学(理)试卷
名校
10 . 已知函数
.
(1)讨论函数
的单调性;
(2)若
,过
分别作曲线
与
的切线
,且
与
关于
轴对称,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a56cbb379b012b2505624beb10237f6.png)
(1)讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8b6894e8c345a035e89ec672503a01f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b30ab064746e49ea3dde4d3c2926ddbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bef49f4847f1c47ba40e100d62355c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dc6e69ad1a27916fb5c3d5901ded134.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd3d641761af730cc20b05a79fad66f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44434b647ec546fe787e2164e0be6cd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98448dc43a8afaa97bbbc7ed073bd46e.png)
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4卷引用:湖北省孝感市八所重点高中教学协作体2016-2017学年高二7月联合考试数学(理)试题
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