名校
1 . 已知函数
,(
为实数),
.
(1)讨论函数
的单调区间;
(2)求函数
的极值;
(3)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e20a21999ea818acdfb48d3641f70d3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31291daddb667739ef98922fb83ef61f.png)
(1)讨论函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
(3)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ba224ee88d0ed9c6665ec2ec3eb6810.png)
您最近一年使用:0次
2016-12-04更新
|
468次组卷
|
3卷引用:山西省怀仁县第一中学2016-2017学年高二下学期期中考试数学(理)试题
2 . 已知数列
的各项均是正数,其前
项和为
,满足
(
).
(1)求数列
的通项公式;
(2)设
(
),数列
的前
项和为
,求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.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/2ecb512dadf8cb1404adfc7e9b19997b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4be2164a2c67d6163faee87a10942bb.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0c3a6bebee9c253d09d09d105084abc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea4ac187cbb465180e89f38250b3970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43fe57b4138386733f5c0f5b6929a65a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c215db1d8f69757118ad405b78035628.png)
您最近一年使用:0次
2016-12-04更新
|
1238次组卷
|
6卷引用:2020届山西省运城市高三上学期期中调研测试数学(理)试题
2020届山西省运城市高三上学期期中调研测试数学(理)试题辽宁省沈阳市重点高中协作校2018-2019学年高二下学期期中数学文科试题2016届河北省正定中学高三上第五次月考理科数学试卷2016届河北省邯郸一中高三下学期第一次模拟文科数学试卷河北省武邑中学2017届高三下学期第四次模拟考试数学(文)试题(已下线)理科数学-2020年高考押题预测卷03(新课标Ⅰ卷)《2020年高考押题预测卷》
3 . 如图,四棱锥
的底面是矩形,侧面
是正三角形,且侧面
底面
,
为侧棱
的中点.
![](https://img.xkw.com/dksih/QBM/2015/12/23/1572385331437568/1572385337450496/STEM/aa0e6596cdc0491ca1f549264571b79a.png)
(1)求证:
平面
;
(2)若
,试求二面角
的余弦值.
![](https://img.xkw.com/dksih/QBM/2015/12/23/1572385331437568/1572385337450496/STEM/38946502acda4d0587a8ab66a6586020.png)
![](https://img.xkw.com/dksih/QBM/2015/12/23/1572385331437568/1572385337450496/STEM/0b30af18a8244238863e7ff5904d5e9b.png)
![](https://img.xkw.com/dksih/QBM/2015/12/23/1572385331437568/1572385337450496/STEM/e84391ec2a59434ba38f481f4948a2cf.png)
![](https://img.xkw.com/dksih/QBM/2015/12/23/1572385331437568/1572385337450496/STEM/d837c05fff384619b18ffe614e17a2be.png)
![](https://img.xkw.com/dksih/QBM/2015/12/23/1572385331437568/1572385337450496/STEM/40d34cdea1a44cfe89322863ed2d22e5.png)
![](https://img.xkw.com/dksih/QBM/2015/12/23/1572385331437568/1572385337450496/STEM/7cbc2ad48df94167a981722dba539a4e.png)
![](https://img.xkw.com/dksih/QBM/2015/12/23/1572385331437568/1572385337450496/STEM/aa0e6596cdc0491ca1f549264571b79a.png)
(1)求证:
![](https://img.xkw.com/dksih/QBM/2015/12/23/1572385331437568/1572385337450496/STEM/97b6cf5d44b14c33ade5e14fb61e1bff.png)
![](https://img.xkw.com/dksih/QBM/2015/12/23/1572385331437568/1572385337450496/STEM/8120d716f1ec4e5bb429c45e0e5eba14.png)
(2)若
![](https://img.xkw.com/dksih/QBM/2015/12/23/1572385331437568/1572385337450496/STEM/998ee098b6a3404aa009955c0507b72f.png)
![](https://img.xkw.com/dksih/QBM/2015/12/23/1572385331437568/1572385337450496/STEM/561f18de4d9e4a4cbb74f6ae7e3b2bf6.png)
您最近一年使用:0次
解题方法
4 . 已知
为奇函数,
为偶函数,且
.
(1)求函数
及
的解析式;
(2)用函数单调性的定义证明:函数
在
上是减函数;
(3)若关于x的方程
有解,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94ed64bf364c7bdf6c461fdbd5f6631.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
(2)用函数单调性的定义证明:函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab1242ec96ac54e2fd418988d5190a88.png)
(3)若关于x的方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f4f509ae8c376c9f1dd8be62f933eaf.png)
您最近一年使用:0次
名校
解题方法
5 . 设
,曲线
在点
处的切线与直线
垂直.
(1)求
的值;
(2)若
,
恒成立,求
的取值范围;
(3)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bea8be8aa363c285b4b60949389de533.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bea9227dd0104da58e0c40952cc87ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9231260a2de7949154b7244bf70785c6.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b52805938232a4b74d8b483bb68288c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0519ca67eb9570d0c256affadb48eec0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/813ac1a9e02f987e24abdd6ecac76781.png)
您最近一年使用:0次
2016-12-04更新
|
1380次组卷
|
9卷引用:吉林省实验中学2016-2017学年高二下学期期中考试数学(理)试题
吉林省实验中学2016-2017学年高二下学期期中考试数学(理)试题山西省运城市2023届高三上学期期中数学试题【全国省级联考】黑龙江省2018年普通高等学校招生全国统一考试仿真模拟(十)数学(理)试题天津市耀华中学2021届高三下学期二模数学试题天津市耀华中学2021-2022学年高三上学期12月第四次阶段检测数学试题天津市第四中学2022届高三下学期线上检测数学试题天津市第四中学2022-2023学年高三上学期期末数学试题(已下线)第二篇 函数与导数专题3 洛必达法则 微点2 洛必达法则综合训练(已下线)第六章 导数与不等式恒成立问题 专题十一 利用洛必达法则解决不等式恒成立问题 微点2 利用洛必达法则解决不等式恒成立问题(2)
6 . 如图,在四棱锥
中,平面
平面
,
∥![](https://img.xkw.com/dksih/QBM/2016/2/23/1572493226098688/1572493232242688/STEM/b2cf2fca1082433ca91c134f3bb9b508.png)
是正三角形,已知![](https://img.xkw.com/dksih/QBM/2016/2/23/1572493226098688/1572493232242688/STEM/589c0c9a3fa84c0ab19a612e26c970f9.png)
![](https://img.xkw.com/dksih/QBM/2016/2/23/1572493226098688/1572493232242688/STEM/86593ca99a5f4adda59dcc0938c974ee.png)
![](https://img.xkw.com/dksih/QBM/2016/2/23/1572493226098688/1572493232242688/STEM/d78144fd8a4c4261a40844c1b205d218.png)
(1)设
是
上的一点,求证:平面
平面
;
(2)求四棱锥
的体积.
![](https://img.xkw.com/dksih/QBM/2016/2/23/1572493226098688/1572493232242688/STEM/9e337a67334a41159782891aff27457b.png)
![](https://img.xkw.com/dksih/QBM/2016/2/23/1572493226098688/1572493232242688/STEM/b5e49055b7674f529ebc88446f2ed01d.png)
![](https://img.xkw.com/dksih/QBM/2016/2/23/1572493226098688/1572493232242688/STEM/e5d581a2a02d4fab960cdd958f32f820.png)
![](https://img.xkw.com/dksih/QBM/2016/2/23/1572493226098688/1572493232242688/STEM/0064a35229d2494d98c6249d2541295f.png)
![](https://img.xkw.com/dksih/QBM/2016/2/23/1572493226098688/1572493232242688/STEM/b2cf2fca1082433ca91c134f3bb9b508.png)
![](https://img.xkw.com/dksih/QBM/2016/2/23/1572493226098688/1572493232242688/STEM/3b917519398c4f1695f0d9be18345b99.png)
![](https://img.xkw.com/dksih/QBM/2016/2/23/1572493226098688/1572493232242688/STEM/589c0c9a3fa84c0ab19a612e26c970f9.png)
![](https://img.xkw.com/dksih/QBM/2016/2/23/1572493226098688/1572493232242688/STEM/86593ca99a5f4adda59dcc0938c974ee.png)
![](https://img.xkw.com/dksih/QBM/2016/2/23/1572493226098688/1572493232242688/STEM/d78144fd8a4c4261a40844c1b205d218.png)
(1)设
![](https://img.xkw.com/dksih/QBM/2016/2/23/1572493226098688/1572493232242688/STEM/4fdaf589a82b492886392aad90b157fd.png)
![](https://img.xkw.com/dksih/QBM/2016/2/23/1572493226098688/1572493232242688/STEM/f0e84cbbd2a14256a4b23a8002631902.png)
![](https://img.xkw.com/dksih/QBM/2016/2/23/1572493226098688/1572493232242688/STEM/9b54993509b848eab9a21711797fa09a.png)
![](https://img.xkw.com/dksih/QBM/2016/2/23/1572493226098688/1572493232242688/STEM/fc19d65674a64fe7b9233bfa3dcfe9a2.png)
(2)求四棱锥
![](https://img.xkw.com/dksih/QBM/2016/2/23/1572493226098688/1572493232242688/STEM/9e337a67334a41159782891aff27457b.png)
您最近一年使用:0次
2014·江苏南京·三模
名校
7 . 已知函数
.
(1)若曲线
过点
,求曲线
在点
处的切线方程;
(2)求函数
在区间
上的最大值;
(3)若函数
有两个不同的零点
,
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1fa33e23d65dd5c2e4a1085d290a36e.png)
(1)若曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7c3316c2f17c0b3a99cc520b6aaa711.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/811c6fbc93bafee69ded75316ef05122.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.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/3008053cbc94bcbf9f9986a592aca495.png)
您最近一年使用:0次
2016-12-02更新
|
1549次组卷
|
7卷引用:2017届山西运城市高三上学期期中数学(理)试卷
名校
解题方法
8 . 在
的展开式中,把
叫做三项式系数.
(1)当
时,写出三项式系数
的值;
(2)类比二项式系数性质![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70456674b6b27f303662ad595ca2c394.png)
,给出一个关于三项式系数
的相似性质,并予以证明;
(3)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a8602d4cf6906502a712ebf86dc5bb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8758957fddc31331b23896d45a45491.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc2d3df37e73a8abea815f37dbb3fff5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8827749042efc28e1f39f9fb68ba5969.png)
(2)类比二项式系数性质
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70456674b6b27f303662ad595ca2c394.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b11cb5cd6f3f3ca72a9b3a596c922e48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d2e80f958f1b9e24dc139b89e07af74.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe05bb201fdec25a1d759e163d8474ed.png)
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2016-12-03更新
|
1162次组卷
|
3卷引用:2015-2016学年湖北孝感高中高二上学期期中理科数学试卷
真题
名校
9 . 已知函数
,设
为
的导数,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d726666f99a5a41dd673a2330e377b17.png)
(1)求
的值;
(2)证明:对任意
,等式
都成立.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fd04839992e09539e99ed5c387107e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61b4ceef651d43872a078d48092417d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5c2da73cbfc250f0e89b8cc4305ca00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d726666f99a5a41dd673a2330e377b17.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/027d1bddcee17e62c5fdf902ed350328.png)
(2)证明:对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d726666f99a5a41dd673a2330e377b17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b14f3e2b0461b9947d2878dfe526209.png)
您最近一年使用:0次
2016-12-03更新
|
2607次组卷
|
12卷引用:江苏省苏州市2019届高三上学期期中调研考试数学试题
江苏省苏州市2019届高三上学期期中调研考试数学试题山西省怀仁市第一中学2020-2021学年高二下学期期中数学(理)试题2014年全国普通高等学校招生统一考试数学(江苏卷)苏教版高中数学 高三二轮 专题24 计数原理数学归纳法随机变量及其分布列 测试(已下线)专题6.6 数学归纳法 (练)-浙江版《2020年高考一轮复习讲练测》专题11.4 数学归纳法(练)-江苏版《2020年高考一轮复习讲练测》专题10.4 推理与证明(练)-江苏版《2020年高考一轮复习讲练测》(已下线)专题33 算法、复数、推理与证明-十年(2011-2020)高考真题数学分项(八)(已下线)专题7.6 数学归纳法(练)-2021年新高考数学一轮复习讲练测(已下线)专题7.6 数学归纳法(练)- 2022年高考数学一轮复习讲练测(新教材新高考)(已下线)专题20 三角函数及解三角形解答题(文科)-1(已下线)专题20 三角函数及解三角形解答题(理科)-1