1 . 已知结论:“在
中,各边和它所对角的正弦比相等,即
”,若把该
结论推广到空间,则结论为:“在三棱锥
中,侧棱
与平面
,平面
所成的角为
,则有________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1501d4035822b34fcc2378f1e316f159.png)
结论推广到空间,则结论为:“在三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/891579e7c231584a8e16b8eeff79888e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4eb7e9ad5486cf1c5e506b20c5469e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca67a5b8f69507c8b80379e86f90a8ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4e288596fa3811dd2c17bded60e82e7.png)
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2 . 设函数
的导数为
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65dcd28f1a82c7dff18fdff8e4e991bf.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a4b04824a308519a61318a82aa97a05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963e09875b66881d4b6b76214a60720.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65dcd28f1a82c7dff18fdff8e4e991bf.png)
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|
1132次组卷
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4卷引用:2015-2016学年山东枣庄三中高二6月调查数学(理)试卷
3 . (1)求证:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14c19d94ff48082c1cd213c82c99abf0.png)
(2)已知
,
,且
,求证:
和
中至少有一个小于2.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14c19d94ff48082c1cd213c82c99abf0.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69bbd0aae5a4f6129fc78f88f662f092.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/165b2250624fc1f1551d6c38991487d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bb82093f9c1ec3ee4218ae8f8377644.png)
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2016-12-04更新
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1550次组卷
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7卷引用:2015-2016学年山东曲阜师大附中高二下学期期中数学(理)试卷
2015-2016学年山东曲阜师大附中高二下学期期中数学(理)试卷2015-2016学年山东曲阜师大附中高二下学期期中数学(文)试卷【全国市级联考】山东省菏泽市2017-2018学年高二下学期期中考试数学(理)试题【校级联考】河南省郑州市2018-2019学年下期期中高二年级八校联考试题文科数学试题重庆市万州第二高级中学2018-2019学年高二下学期期中(理)数学试题河南省南阳市第一中学2018-2019学年高二下学期第一次月考数学(理)试题(已下线)专题04+常用逻辑用语(2)(反证法)-2020-2021学年新教材高一数学秋季辅导讲义(沪教版2020)
4 . 已知
为等差数列,
,则
,若
为等比数列,
,则
的类似结论为:_______________________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ef45483504f4515745f9c026f5e6659.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee72d4a351b4d3a0edb288b5b3007418.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f86a8746a583f411fb73c6334eb27b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
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2016-12-04更新
|
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2卷引用:2015-2016学年山东曲阜师大附中高二下学期期中数学(理)试卷
5 . 已知函数
图象上的点
处的切线方程为
.
(1)若函数
在
时有极值,求
的表达式;
(2)若函数
在区间
上单调递增,求实数
的取值范围.
![](https://img.xkw.com/dksih/QBM/2016/9/9/1573009072062464/1573009077813248/STEM/727b48a5595242839ec838d4cd3934bf.png)
![](https://img.xkw.com/dksih/QBM/2016/9/9/1573009072062464/1573009077813248/STEM/ced27bc0f74f4940ba4539b1bf5b3603.png)
![](https://img.xkw.com/dksih/QBM/2016/9/9/1573009072062464/1573009077813248/STEM/a246cdb8f1eb4398bcd6222858d77a13.png)
(1)若函数
![](https://img.xkw.com/dksih/QBM/2016/9/9/1573009072062464/1573009077813248/STEM/9ea014386f2c4d96a0eee2b8526959fa.png)
![](https://img.xkw.com/dksih/QBM/2016/9/9/1573009072062464/1573009077813248/STEM/7822659f8e104f74b1eb43b3ca2d2058.png)
![](https://img.xkw.com/dksih/QBM/2016/9/9/1573009072062464/1573009077813248/STEM/9ea014386f2c4d96a0eee2b8526959fa.png)
(2)若函数
![](https://img.xkw.com/dksih/QBM/2016/9/9/1573009072062464/1573009077813248/STEM/9ea014386f2c4d96a0eee2b8526959fa.png)
![](https://img.xkw.com/dksih/QBM/2016/9/9/1573009072062464/1573009077813248/STEM/a61fd8ae0a0e41e9a265d985ec20657f.png)
![](https://img.xkw.com/dksih/QBM/2016/9/9/1573009072062464/1573009077813248/STEM/506ef5890ca54964bd6cb219a7c8d6c9.png)
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2016-12-04更新
|
683次组卷
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2卷引用:2015-2016学年山东曲阜师大附中高二下学期期中数学(理)试卷
6 . 已知函数
的定义域为
,部分对应值如下表:
的导函数
的图象如图所示,
![](https://img.xkw.com/dksih/QBM/2016/9/9/1573008943833088/1573008950034432/STEM/a7030c08ed054abd82b4057a47f794f2.png?resizew=259)
下列关于函数
的命题:①函数
的值域为[1,2];②函数
在
上是减函数;③如果当
时,
的最大值是2,那么
的最大值为5;④当
时,函数
有4个零点.其中真命题为________ (填写序号).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0581fcaa2dcf917479091fded7f5b21b.png)
0 | 4 | 5 | ||
1 | 2 | 2 | 1 |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d0c99ddd028f0bc3b1d64924ff0f61.png)
![](https://img.xkw.com/dksih/QBM/2016/9/9/1573008943833088/1573008950034432/STEM/a7030c08ed054abd82b4057a47f794f2.png?resizew=259)
下列关于函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb87c830a03204a5b783ad4c2ba49c4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa7924069f67dcce50ae8f3bdef13f8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecf9befc3b336d83b83bcfcbc19c0752.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcefa1eadaa807e3fe6c61a2f8d2dea9.png)
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7 . 三角形的面积
,a,b,c为其边长,r为内切圆的半径,利用类比法可以得出四面体的体积为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39c8aa23655de534f9184576d477b548.png)
A.![]() |
B.![]() |
C.![]() |
D.![]() |
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2016-12-04更新
|
178次组卷
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4卷引用:2015-2016学年山东省临沂十八中高二下学期第一次月考文科数学试卷
2015-2016学年山东省临沂十八中高二下学期第一次月考文科数学试卷2014-2015学年陕西省咸阳市三原县北城中学高二下期中文科数学试卷2015-2016学年江西瑞昌一中高二下学期期中(文)数学试卷(已下线)第一章 推理与证明(基础过关)-2020-2021学年高二数学单元测试定心卷(北师大版选修2-2)
8 . 已知定义在实数集R上的函数
满足
,且
导函数
,则不等式
的解集为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0f39001eda1eab65ca70a6cf924c28d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/807528a1e8422a77263dbecfe4edba35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2e572f00bbc5505e572542e8215d30e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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3卷引用:2015-2016学年山东省曲阜师大附中高二下4月月考理科数学试卷
9 . 已知函数
.
(1)求
的单调区间;
(2)若对
,都有
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a20ea42b2a57307bbaa587b49f79e2f5.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若对
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3add1679c27392a1a7f635723a4b36eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9041e2923ec30aed898a7d90cc8b77c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
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解题方法
10 . 函数
在区间
上的最大值和最小值分别为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64d1f6f459292de1002f863203ce91a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa66623cf54b42d6d12be4c8edaa7071.png)
A.![]() ![]() | B.![]() ![]() | C.![]() ![]() | D.![]() ![]() |
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