名校
解题方法
1 . 若函数
,则函数
在
上( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffe7fb3298097ca236c6974cd6be2ed0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/870ebc2f7aabb028024894568d749934.png)
A.存在极小值,且极小值为![]() | B.存在极小值,且极小值大于![]() |
C.存在极大值,且极大值为![]() | D.存在极大值,且极大值小于![]() |
您最近一年使用:0次
名校
2 . 已知
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc2f60f320c790f0c639f5d3fa347350.png)
(1)若函数
在
上为单调函数,求实数
的取值范围;
(2)若当
时,对任意
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01e43f9bd818d1a67596d61dd8b2830d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc2f60f320c790f0c639f5d3fa347350.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02e1c9c97de9198d47306216e9961b80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd876a2ed79c64bacc3e64b8ee92735e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd7ee78819519674c96cb06f6965c9e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2017-04-22更新
|
409次组卷
|
3卷引用:2016-2017学年河南省南阳市高二下学期期中质量评估数学(理)试卷
解题方法
3 . 已知函数
在点
处的切线方程为
.
(1)求
的值;
(2)设
(
为自然对数的底数),求函数
在区间
上的最大值;
(3)证明:当
时,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bc02051287946450d0bffda8029a12f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bea9227dd0104da58e0c40952cc87ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97c6d3c99b7004603ba9ea9c341b8b3f.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb17c88e3c28a93f2ab03d349f3b24e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/041a7c8fc017f596542c5e6ec7d1c40b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6179ae6bab235331b4ef2a917f165ef.png)
(3)证明:当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e145b6046bc80d0ffecc61ac67c87ca1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/270e29294daf40d5b16a5dee297a2cdb.png)
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12-13高二·浙江宁波·期中
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4 . 已知
,其中
,如果存在实数
,使
,则
的值
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbb3a0d1447fff7121cb5f2a01f82033.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b7de3de3464629706233b05bdb30e5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b04f52ac5472d2e3199655bcea278b82.png)
A.必为正数 | B.必为负数 | C.必为非负数 | D.必为非正数 |
您最近一年使用:0次
2017-04-15更新
|
825次组卷
|
4卷引用:2016-2017学年河南省郑州市第一中学高二下学期期中考试数学(理科)试卷
2016-2017学年河南省郑州市第一中学高二下学期期中考试数学(理科)试卷(已下线)2012-2013学年浙江宁波效实中学高二(3-9班)下期中理数学卷河南省郑州市2019-2020学年高二下学期阶段性学业检测题5月数学(理)试题(已下线)2014届浙江省慈溪中学高三第一学期10月月考理科数学试卷
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5 . 已知定义在
上的可导函数
的导函数为
,满足
,且
为偶函数,
,则不等式
的解集为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7994bbcf39f4dda34e877b21af71f103.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb18c214f86f4cc9fab1185c6869fea2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d79004e4a4742d45bfef9935187c0660.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99b88fd6a9d8f205836c6bbdeb1b8f3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8739ad9c9abb4199e18fcae8769acb0.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2017-04-11更新
|
1653次组卷
|
5卷引用:【全国校级联考】辽宁省沈阳市郊联体2017-2018学年高二下学期期中考试数学(文)试题
6 . 已知函数
在
处的切线方程为
.
(1)求
;
(2)如果函数
仅有一个零点,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80305bd0d2834ba40922ec9bdccc5e2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://img.xkw.com/dksih/QBM/2016/12/9/1579112725626880/1579112726323200/STEM/9d2380823a354498a252a4bfd9a231d9.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
(2)如果函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ce93cdf2d3ad0ae99c605dc3f2f275f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
名校
7 . 已知函数
.
(1)当
时,比较
与1的大小;
(2)当
时,如果函数
仅有一个零点,求实数
的取值范围;
(3)求证:对于一切正整数
,都有
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7939cb4bac8d532c6c985ea911c31629.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4232fb8753635ae49af3a1c26803894f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c27716788e838bd934952fe13c5e4671.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(3)求证:对于一切正整数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/181600214a30376fa58599f0712ce167.png)
您最近一年使用:0次
2016-12-13更新
|
1314次组卷
|
2卷引用:2017届河南郑州一中高三理上期中数学试卷
解题方法
8 . 已知椭圆![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a5bbb709522dba9425a6b45ee671298.png)
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
为其右焦点,过
垂直于
轴的直线与椭圆相交所得的弦长为
.
(1)求椭圆
的方程;
(2)直线![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a461995b90655f5133df6f61c2d09bd.png)
(
)与椭圆
交于
两点,若线段
中点在直线
上,求
的面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a5bbb709522dba9425a6b45ee671298.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48da128547c4cf9745e8e4b99988a3db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58f42d6c12d8b5309e81979bf1f045dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a461995b90655f5133df6f61c2d09bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15b256345d7109e081b7c895591e995d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10f6978eb6a3f71949b240260be84351.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c204834608f1a8fba15747210dd7c5af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2eaceb8d6c6927e14d9ac7a557a2b11d.png)
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9 . 已知函数
.
(Ⅰ)当
时,求函数
的单调区间和极值;
(Ⅱ)若函数
在
上是减函数,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95ffeaceb6dc51f0b74a7ca3f5748363.png)
(Ⅰ)当
![](https://img.xkw.com/dksih/QBM/2016/9/6/1572998979158016/1572998985154560/STEM/733ebfb090c5415894e04d3df16e4725.png)
![](https://img.xkw.com/dksih/QBM/2016/9/6/1572998979158016/1572998985154560/STEM/67b92b0c8681417ab043dc98b08b3e1c.png)
(Ⅱ)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/107b9d3da7a4d5c67d41e910b4d5a9fe.png)
![](https://img.xkw.com/dksih/QBM/2016/9/6/1572998979158016/1572998985154560/STEM/d567d70dc12842919cab9a86ed193673.png)
您最近一年使用:0次
2016-12-04更新
|
712次组卷
|
2卷引用:2015-2016学年河南商丘一高中高二下学期期中数学(理)试卷
名校
10 . 一个圆柱形圆木的底面半径为
,长为
,将此圆木沿轴所在的平面剖成两部分.现要把其中一个部分加工成直四棱柱木梁,长度保持不变,底面为等腰梯形
(如图所示,其中
为圆心,
,
在半圆上),设
,木梁的体积为
(单位:
),表面积为
(单位:
).
![](https://img.xkw.com/dksih/QBM/2016/5/31/1572670277410816/1572670283112448/STEM/554a26c0-fcf6-4405-82fb-93caac6462f6.png?resizew=190)
(1)求
关于
的函数表达式;
(2)求
的值,使体积
最大;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f328ba89c0a92a4447788b65571f7aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/167e6e41ac221847824a72e964f340f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11db4b9921a9fe4d5c03b17bafc852fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be54e84508decfcce6d2fcbe6c8c1a92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eab9bcb68861b73f12a65eb9e94700d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35c901bcdfa58f0c68ad0161b0bab269.png)
![](https://img.xkw.com/dksih/QBM/2016/5/31/1572670277410816/1572670283112448/STEM/554a26c0-fcf6-4405-82fb-93caac6462f6.png?resizew=190)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be54e84508decfcce6d2fcbe6c8c1a92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be54e84508decfcce6d2fcbe6c8c1a92.png)
您最近一年使用:0次
2016-12-04更新
|
458次组卷
|
6卷引用:2015-2016学年安徽省六安一中高二下期中理科数学试卷