名校
解题方法
1 . 设函数
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/914a49b0d7aedc593a3e87fbab7c31ca.png)
(1)当
时,求函数
的单调区间;
(2)当
时,曲线
与
有两条公切线,求实数
的取值范围;
(3)若
对
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d22116a0c3bf356ad98e8da8600a79a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/914a49b0d7aedc593a3e87fbab7c31ca.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b108ab31cc093f03cf48ad65429889e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f73d517aa8a5cb11f9a3fdcbeeae7f98.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a1cfb60420ff7e72c1b9d64f69ae063.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ddf70c1ed5b2a47be8b7fa81043c7b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d45793b96fcc2aa90c8555b1c5157af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2023-10-22更新
|
439次组卷
|
5卷引用:【校级联考】浙江省衢州五校2018-2019学年高二第二学期期中联考数学试题
【校级联考】浙江省衢州五校2018-2019学年高二第二学期期中联考数学试题(已下线)2022年全国高考甲卷数学(文)试题变式题13-16题(已下线)2022年全国高考甲卷数学(文)试题变式题17-20题(已下线)第六章 导数与不等式恒成立问题 专题五 单变量恒成立之必要性探路法(4) 微点1 必要性探路法(4)——外点效应、拐点效应、孤点效应上海市金山中学2023-2024学年高二下学期5月月考数学试卷
解题方法
2 . 已知数列
的前
项和为
,则下列选项正确的是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3179aafc2a53d170bc73c28a205101fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd995178601c2ad7b40f973d268c7bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
3 . 已知函数
,其中
,
.
(1)当
时,求函数
的单调区间;
(2)当
且
时.
①若
有两个极值点
,
(
),求证:
;
②若对任意的
,都有
成立,求正实数t的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1027fc43aadcafee9d0cbda7bf656361.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d285a4c557fc9748105b62ccd94b7859.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ce4430b8b9b0c78de693513a7f88915.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65397f11ea8af736f38debadf420c4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3a915c1a8a9304aeb307d130faaeb15.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26d8dafc71b106f39f4e15442220897b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ede4ee5ce3f0abfbce7b930f23d62ffb.png)
②若对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c608d90deedf83441490d0190e70f9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4d036d96e005692dc27fc942a1504be.png)
您最近一年使用:0次
名校
解题方法
4 . 如图,在
中,
,
,若平面ABC外的点P和线段AC上的点D,线段BC上的点Q,满足
,
,则四面体
的体积的最大值是________ ;当
体积取最大值时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d7c56cb3a7babd97511ea58da6979cb.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f121eabff3c62c1a196d9ca5f6f83f0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69b755ee4dda4a72063c6fba125720a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3d092c7e025551511ce7a5534a8e37f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efcf94c9298a17b826a5f71de5f90f33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08a9ec3b527947cad9caa4537e0cb7e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08a9ec3b527947cad9caa4537e0cb7e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d7c56cb3a7babd97511ea58da6979cb.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/23/45833f49-f740-49d3-bc4e-a215b61d4505.png?resizew=227)
您最近一年使用:0次
名校
5 . 已知点
是椭圆
上一点,过点
的一条直线与圆
相交于
两点,若存在点
,使得
,则椭圆的离心率取值范围为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48da128547c4cf9745e8e4b99988a3db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/833bf16f0161259e9d973dbdd5c6b18c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff92ef23dd31bb91ece0b416b231fd40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/238b275fe2ef6f88a07e6f85542eba2c.png)
您最近一年使用:0次
名校
解题方法
6 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9efdc25695d3e38aa5694871be94700.png)
(1)若函数
有且只有一个零点,求实数
的取值范围;
(2)若函数
对
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9efdc25695d3e38aa5694871be94700.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5695ca3000001183698361b2813ba7aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4318a47d7e83d587e74bab4d3d1f6883.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2020-04-07更新
|
962次组卷
|
9卷引用:浙江省衢州市常山县天马中学2020届高三上学期入学调研理科数学试题
名校
7 . 已知直线
经过抛物线
的焦点
,与抛物线交于
、
,且
,点
是弧
(
为原点)上一动点,以
为圆心的圆与直线
相切,当圆
的面积最大时,圆
的标准方程为_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51cbe3cd6f5aa46b03bfdecac4e87354.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/dad1e1c3ba382a47a92b24c5f15c1eb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274a77343ecde1c2665df291761b6563.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
您最近一年使用:0次
2019-12-01更新
|
1593次组卷
|
7卷引用:浙江省衢州市常山县天马中学2020届高三上学期入学调研理科数学试题
浙江省衢州市常山县天马中学2020届高三上学期入学调研理科数学试题四川省雅安市雨城区雅安中学2019-2020学年高二上学期期中数学试题河北省衡水中学2019-2020学年度高三年级上学期四调考试数学(文)试题2020届江西省名师联盟高三入学调研考试数学(理)试题2020届广西柳州高级中学高三2月线上月考数学(理)试题南昌市2020届高三数学(理科)零模试题(已下线)专题05 解析几何(第二篇)-备战2020高考数学黄金30题系列之压轴题(新课标版)
名校
8 . 已知双曲线
(
)的右焦点为
是双曲线的一条渐近线上关于原点对称的两点,
且线段
的中点
落在另一条渐近线上,则双曲线
的离心率为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c5c2e64358e0ec7aa142c336d970306.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2684b72f9f38f5046c8ecd4280b7b14b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9a78559c9184218b6ca26670a268a23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73208b953bca534767ac8ad7bf82ef8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.![]() | B.![]() | C.2 | D.![]() |
您最近一年使用:0次
2019-10-12更新
|
2622次组卷
|
8卷引用:浙江省衢州市常山县天马中学2020届高三上学期入学调研理科数学试题
9 . 已知函数
,若函数
(
,
为常数)在
内有两个极值点
.
(Ⅰ)求函数
的导函数
;
(Ⅱ)求实数
的取值范围;
(Ⅲ)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e62da19943a0e333a57a072cf8b786b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/969aec82557128609607063de913018d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afa482d7bcaa385bfc3548b42a4bfb60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aca579894dad67bc82cb715fd48e0d70.png)
(Ⅰ)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33770cd4511e0f50f2d959ffd913e97f.png)
(Ⅱ)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(Ⅲ)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77ea11379ba50489c61f33968a462107.png)
您最近一年使用:0次
名校
10 . 设椭圆
:
的左、右焦点分别为
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/6/7a0f7be3-47db-4bad-9a95-315bd8d6be1b.png?resizew=183)
(Ⅰ)求椭圆
的标准方程;
(Ⅱ)过点
的直线
与椭圆
相交于
,
两点,求
内切圆面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ae02ed70b3ecc3b095756f545870a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/486279e7ff9f2b76c2ce712f5dedcb9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/385afe18c3fad66fdeadf74be824283c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/6/7a0f7be3-47db-4bad-9a95-315bd8d6be1b.png?resizew=183)
(Ⅰ)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(Ⅱ)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.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/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b572e25f9bc8de4f6cc94b776f910145.png)
您最近一年使用:0次
2019-06-19更新
|
1046次组卷
|
2卷引用:【市级联考】浙江省衢州市2018-2019学年高二6月教学质量检测数学试题