名校
解题方法
1 . 定义在
上的函数
满足对任意
,
,恒有
,且
时,有
.
(1)证明:
为奇函数;
(2)试判断
的单调性,并加以证明;
(3)若
,不等式
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95cccdff49c3efe6e7a7dbbf69db9319.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab0c6f119137e1b6760d55956d99d963.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73a98c1b3504e09bfbe0db849b0d24.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)试判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ff5474708041244835175778925a7ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ce7d7cb4b85675ad63d2aec414b5eb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2023-09-11更新
|
817次组卷
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4卷引用:河南省商丘市夏邑县第一高级中学2022-2023学年高一上学期月考二(A)数学试题
河南省商丘市夏邑县第一高级中学2022-2023学年高一上学期月考二(A)数学试题(已下线)专题3-6 抽象函数性质综合归类(1) - 【巅峰课堂】题型归纳与培优练北京市第二十二中学2023-2024学年高一上学期阶段检测(12月)数学学科试题福建省龙岩市第二中学2023-2024学年高一上学期第一次月考数学试题
2 . 设函数
.
(1)求
的值;
(2)对任意正实数
,
恒成立,求正实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8b59dc951a5f0a79b2d3a4ea980a57e.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c964918a8de127b939bea82df401aeeb.png)
(2)对任意正实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6d04016498ba1e34508011947621546.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2023高一·江苏·专题练习
3 . 写出集合
的所有子集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9026a6eae160a29d9797977c6caa334.png)
您最近一年使用:0次
解题方法
4 . 若集合
,当
分别取下列集合时,求
.
(1)
;
(2)
;
(3)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/582b9188ddab446667151971d272c376.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a0b08b4fe792c9eecea1bda373071a3.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/decf44dc9c42ead1dbf37fa7cdeb5b80.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbdb534ab75f6d14bf82f9d00c5118fe.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/823aae11ba8d71e866a01f0e26c7dccf.png)
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2023-08-30更新
|
457次组卷
|
2卷引用:河南省柘城县德盛高级中学2023-2024学年高一上学期9月月考数学试题
5 . 设集合
,
,
,求:
(1)
;
(2)
;
(3)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eead0533aec94b9c886dd9b49ad0f19e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/521b88c5ca35d98594f0e684fac7f512.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dbc5e3de98b494551c2a39246ebdb5b.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be7026b721caf58b61b1daac10d7db2b.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5207a956f783588ad0f1df179de2dc46.png)
您最近一年使用:0次
2023-08-22更新
|
3038次组卷
|
11卷引用:河南省柘城县德盛高级中学2023-2024学年高一上学期9月月考数学试题
河南省柘城县德盛高级中学2023-2024学年高一上学期9月月考数学试题云南省保山市高(完)中C、D类学校2022-2023学年高一上学期10月联考数学试题河南省中牟县第一高级中学2023-2024学年高一上学期第一次考试数学试题江苏省南京市中华中学2023-2024学年高一上学期学情调研(一)数学试题(已下线)高一上学期期中复习【第一章 集合与常用逻辑用语】九大题型归纳(拔尖篇)-举一反三系列(河南省南阳市邓州市邓州春雨国文学校2023-2024学年高一上学期9月月考数学试题江苏省连云港市新海高级中学2023-2024学年高一上学期10月月考数学试题湖北省武汉市第四中学2023-2024学年高一上学期10月月考数学试题新疆奇台县第一中学2023-2024学年高一上学期期中考试数学试题云南省曲靖市宣威市东升实验中学2023-2024学年高一上学期10月月考数学试题【名校面对面】2023-2024学年高一上学期第一次月考数学试题
6 . 如图,在直三棱柱
中,
,
,
,点
,
分别在棱
,
上,且
,
.
(1)求证:
平面
;
(2)求点
到平面
的距离;
(3)求直线
与平面
所成角的大小.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c3e9ef3e849788645552cfb0735d987.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36c4559d27e3905980d1a4f1856f07de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8d927585a17c2e98ef7d5a9589a26ac.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/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60a25beec24b6218d34e7ca0ef911349.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1834e609b82dbe42e9ed1ba389523698.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/8/12/0698b19c-aca7-46a1-bee6-a53f67ab183d.png?resizew=167)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00c25c4259d935d6e6fabe5c3fc1f43c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3653ada76ba0c8afe9d57c8e7832c6ed.png)
(2)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97c01fdc7bc471af0b264a04aef0823e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3653ada76ba0c8afe9d57c8e7832c6ed.png)
(3)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3653ada76ba0c8afe9d57c8e7832c6ed.png)
您最近一年使用:0次
名校
解题方法
7 . 已知在
中,
,
,
分别为内角
,
,
的对边,且
.
(1)求
;
(2)设
为边
上一点,
是
的角平分线,且
,
,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1820ac16a8d47312dbeddc01247b629d.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/714cc3707bba3bfdb56e251999be8592.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65397f11ea8af736f38debadf420c4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
您最近一年使用:0次
名校
8 . 如图,在棱长为3的正方体
中,
,
为棱
的两个三等分点.
(1)求证:
平面
;
(2)求二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2777840758e70e7dbbc18cef8f3d6d2b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/8/12/f9e396f1-39a5-4f57-9392-020930ae2143.png?resizew=156)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58a20ea69475dcf57a5ff18c13eceaaa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ae8768996ca9a0f2c5d9a19abbd54df.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5618d6806b44814e6e3a231d8bfd599.png)
您最近一年使用:0次
名校
解题方法
9 . 甲、乙两名技工加工某种零件,加工的零件需经过至多两次质检,首次质检合格的零件作为一等品出售,不合格的零件交由原技工进行重新加工,重新加工完进行再次质检,再次质检合格的产品作为二等品出售,不合格的作废品处理.已知甲加工的零件首次质检的合格率为
,重新加工后再次质检的合格率为
,乙加工的零件首次质检和重新加工后再次质检的合格率均为
,且每次质检合格与否相互独立,现由甲、乙两人各加工1个零件.
(1)求这2个零件均质检合格的概率;
(2)若一等品的价格为100元,二等品的价格为50元,废品的价格为0元,求这2个零件的价格之和不低于100元的概率.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b2a698891d42c70b597f0da4f215f09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf31876698721a199c7c53c6b320aa86.png)
(1)求这2个零件均质检合格的概率;
(2)若一等品的价格为100元,二等品的价格为50元,废品的价格为0元,求这2个零件的价格之和不低于100元的概率.
您最近一年使用:0次
2023-08-11更新
|
702次组卷
|
4卷引用:河南省商丘市第一高级中学2022-2023学年高一下学期6月月考数学试题
河南省商丘市第一高级中学2022-2023学年高一下学期6月月考数学试题(已下线)第十章:概率(单元测试,新题型)--同步精品课堂(人教A版2019必修第二册)广西南宁市第二中学2023-2024学年高二上学期开学考试数学试题湖北省恩施州鄂西南三校联盟考试2023-2024学年高二上学期9月月考数学试题
名校
解题方法
10 . 某工厂对工人的专业技能做了一次测试,并将所有测试成绩(满分100分)按照
,
,
,
进行分组,得到如图所示的频率分布直方图,已知图中
.
(1)求测试成绩的
分位数;
(2)按照人数比例用分层随机抽样的方法,从成绩在
内的工人中抽取4人,再从这4人中任选2人,求这2人成绩都在
内的概率.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a142765f29499673b40e26ce4f1d36d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d27b00644365909601ed84ff49813d5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa5e9bd516f6282483b92cfe6074623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ea74afcb17a3c5f6d00f21d6e2d50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd04c6b9cc47521108979a622c2b7c83.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/8/12/ce6a3169-7466-41fe-b3ff-25c516b0240b.png?resizew=243)
(1)求测试成绩的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e76496989a451b5e945e3043f4af5ad.png)
(2)按照人数比例用分层随机抽样的方法,从成绩在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e0c0e1d1afae5cd215295e32bc48123.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/328fcb58a789bd05648864910ede4d36.png)
您最近一年使用:0次
2023-08-11更新
|
318次组卷
|
2卷引用:河南省商丘市第一高级中学2022-2023学年高一下学期6月月考数学试题