名校
解题方法
1 . 三阶行列式是解决复杂代数运算的算法,其运算法则如下:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/281c685c6a79c8293c8b5083c3a8dc4c.png)
若
,则称
为空间向量
与
的叉乘,其中
,
,
为单位正交基底. 以
为坐标原点、分别以
,
,
的方向为
轴、
轴、
轴的正方向建立空间直角坐标系,已知
,
是空间直角坐标系中异于
的不同两点
(1)①若
,
,求
;
②证明
.
(2)记
的面积为
,证明:
.
(3)证明:
的几何意义表示以
为底面、
为高的三棱锥体积的
倍.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/281c685c6a79c8293c8b5083c3a8dc4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c90282d4a37c9a20620d4bbb0c263cae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e91aaddb8691f8afa477a96bf630631.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1aba64ae92194bc4f0f6e49725471542.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8643f24c3af715421ec0ccd3224ed453.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d541143135cb9b8166bc631a85ac6a41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a471332d4f3731d90f62fdf819f39824.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e73db31aecdde14e0002f082d9091df0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2980a18e4d0a2a795b7983a1a1866db7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1821c677712026f8de34fe924b1f52a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.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/1dde8112e8eb968fd042418dd632759e.png)
(1)①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e41ef077626c88964805a45849471a1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bb22d1c614d99e2639864e43f4b6277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00db2bada2cfc90c5213aca8af17df4c.png)
②证明
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bb8623a42db5ceb745a16d72739f513.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866b81a8384cce4f24867baca2e6820c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29aa828f2bd9a5e63ee58dcaa9d0d336.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0505ce82dd5726c22fcaac54d01d630b.png)
(3)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8191a760981f2d67648905665c8b167a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866b81a8384cce4f24867baca2e6820c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad58b362528b814739ceb7fe5febfc28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f8c4c029e552954bd493b49aeab82d5.png)
您最近一年使用:0次
2024-03-07更新
|
897次组卷
|
8卷引用:河南省部分重点高中2024届高三普通高等学校招生全国统一考试(期末联考)数学试卷
河南省部分重点高中2024届高三普通高等学校招生全国统一考试(期末联考)数学试卷江苏省扬州市仪征中学2024届高三下学期期初调研测试数学试题 河南省部分重点高中(青桐鸣)2023-2024学年高三上学期期末大联考数学试题(已下线)专题22 新高考新题型第19题新定义压轴解答题归纳(9大核心考点)(讲义)江苏省江都中学2023-2024学年高二下学期3月联考数学试卷江苏省盱眙中学2023-2024学年高二下学期第一次学情调研数学试题(已下线)第七章 应用空间向量解立体几何问题拓展 专题二 平面法向量求法及其应用 微点2 平面法向量求法及其应用(二)【培优版】(已下线)专题08 期末必刷解答题专题训练的7种常考题型归类-期末真题分类汇编(北师大版2019必修第二册)
2 . 已知数表
,
,
,其中
,
,
分别表示
,
,
中第
行第
列的数.若
,则称
是
,
的生成数表.
(1)若数表
,
,且
是
,
的生成数表,求
;
(2)对
,
,
数表
,
,
与
满足第i行第j列的数对应相同(
).
是
,
的生成数表,且
.
(ⅰ)求
,
;
(ⅱ)若
恒成立,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9269360e275b7d80b6cdc272af8eedbc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3703fa838be7c2c7ae3944fc24536cc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5e30310b713914b2b021d9ffa89dee6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37a14c188b1c9d61aa237b137ba18023.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/223f93ed43c7772a367043ae224b75da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f2cf56fabf5a66f4f99e499bf371846.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b11e86b3abf5d95a36a9cc611534780.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaa4dbfb36335e29c3ebca8dca33d4e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d03e28332446eea06a9bd61050d38373.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c05b9832b09731a574d4a4adf7448de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7600d2cfbdc6146db96cc545706004f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a67fcefc49af5da7ca9016c80e6a1ca1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d03e28332446eea06a9bd61050d38373.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b11e86b3abf5d95a36a9cc611534780.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaa4dbfb36335e29c3ebca8dca33d4e1.png)
(1)若数表
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7a413014cfac660883ba4bbb844b255.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/025393abcedb4f6dd0b1be720a7b955f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/647c97da671781944dcbac93af7cadcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/174541741f9d18ca1394943abd2ed0aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/403e9c8769f452f0c9e69a178b3c0cb4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/647c97da671781944dcbac93af7cadcb.png)
(2)对
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f8365233f341451598eb50525a1557a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bcfc48f9bc23cc43085bdb910e7a136.png)
数表
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cce60f9ae46219ff2567aa1470fd1a54.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfd6a98dcb4b1455486e05a9141b8dff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d946a5730d33d84577c7bc4a69b9e96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/160710545968157b392c210012e81ee3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2ffc1d9460ea481e699ed84da936250.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9f91d58007c604e83eb066e79e8cc88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b11e86b3abf5d95a36a9cc611534780.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d946a5730d33d84577c7bc4a69b9e96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb4e0386d1ce782d770ef7236edbea7c.png)
(ⅰ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e542a1e1667a89ce2e20a2b52b42e359.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7023dd3e3bac9a9b47e75d2976b0efab.png)
(ⅱ)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28c96a64acdc0c29543dae62909b4e5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
您最近一年使用:0次
3 . 已知
和数表
,其中
.若数表
满足如下两个性质,则称数表
由
生成.
①任意
中有三个
,一个3;
②存在
,使
中恰有三个数相等.
(1)判断数表
是否由
生成;(结论无需证明)
(2)是否存在数表
由
生成?说明理由;
(3)若存在数表
由
生成,写出
所有可能的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e1b76c6898e230717d3daed334b0303.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dbda44091b0da7321b26722d6ab78845.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac56300140ed9e27f8dff86ef1eaea0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24c7d6627a568c6eaae35260d53dfb29.png)
①任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f29210b9144737a127a428679c58f406.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
②存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dd600b451b2b7f1680cbbcf36a49703.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5137f97e66d136940d82a4027cd4fa2b.png)
(1)判断数表
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a97e4a4a351df2053a3cab244213d41c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e88b1329f12c3b53e86627d04f5e5a3.png)
(2)是否存在数表
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79dc44942df9856c903cd70e4776e86b.png)
(3)若存在数表
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0808a749c7fe9d45bea1edbd3ee96e20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f44f67ab69be2217f7884536cfa53aa.png)
您最近一年使用:0次
2024-01-17更新
|
1074次组卷
|
6卷引用:北京市第一次普通高中2023-2024学年高二上学期学业水平合格性考试数学试题
北京市第一次普通高中2023-2024学年高二上学期学业水平合格性考试数学试题辽宁省沈阳市第二中学2024届高三下学期开学考试数学试题(已下线)第一套 新高考新结构全真模拟1(艺体生)(模块二)(已下线)微考点8-1 新高考新题型19题新定义题型精选北京市第二中学2023-2024学年高一下学期期中考试数学试题2024届河北省名校联盟高考三模数学试题
名校
4 . 设数阵
,其中
、
、
、
.设
,其中
,
且
.定义变换
为“对于数阵的每一行,若其中有
或
,则将这一行中每个数都乘以
;若其中没有
且没有
,则这一行中所有数均保持不变”(
、
、
、
).
表示“将
经过
变换得到
,再将
经过
变换得到
、
,以此类推,最后将
经过
变换得到
”,记数阵
中四个数的和为
.
(1)若
,写出
经过
变换后得到的数阵
;
(2)若
,
,求
的值;
(3)对任意确定的一个数阵
,证明:
的所有可能取值的和不超过
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/118fda38f1089b957ed60695e37a536c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e84c30444f13d37ada78285dc4f83b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e76d1d8e50dda4d50229a8a20c57e58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc29ee719feeedfbc8c529cf11348abf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80dfe04216139283a69617e9dad8048f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1f55a7cb35277e770cf834d0daee4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e75e807cfe386ca9281b99ddf74ffc16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ada32feac648a845a4df365354cd196e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c866e176c39fd314d3cd3bbe52ba8ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c13457c887234afca68b4ab6be353481.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53fc303cfac1c7534451fb0789e68340.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53fc303cfac1c7534451fb0789e68340.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b081228ddb76ebe198cdb4e69f2785d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a33a99190a8fd29c36d5a002e3197cc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa5e9bd516f6282483b92cfe6074623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2321ec2ceeba4ca1168f3c64bcad3da2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/813ba311354d00f71d2115a560d12b56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7356ec98b600ece41f3a6b4bc26a7d59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4891337ce2ce5c1f700b8824a03cd83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9721059d158853671eaf19e39769b13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/747f43f06177d471d83cda317c39d105.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd8db4b168ddbcba90ac9b31d36a0432.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa5e9bd516f6282483b92cfe6074623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/221f88f10c065cf9c855369540113c9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15145fa7ce87d4730373560c26d292bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0dbb44d7459e2c69c046775664c21d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0dbb44d7459e2c69c046775664c21d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8466ad670889f417cd21e72f41628a1.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85351e9d97942d0291e0c4f784a69ec4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7356ec98b600ece41f3a6b4bc26a7d59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b8d70c89336011fb7ba4006a16f0f55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a18722354086c42e62334983fc50eb6a.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f58b8408ad372250925ef59146017c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99b69876a0ef00bf3844058e06443013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8466ad670889f417cd21e72f41628a1.png)
(3)对任意确定的一个数阵
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7356ec98b600ece41f3a6b4bc26a7d59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8466ad670889f417cd21e72f41628a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3edbd40e04e2a943051fa83d6e511add.png)
您最近一年使用:0次
2020-04-16更新
|
468次组卷
|
5卷引用:2020届北京市高考适应性测试数学试题
名校
解题方法
5 . 设函数
(a为实数).
(1)若
,解不等式
;
(2)若当
时,关于x的不等式
成立,求a的取值范围;
(3)设
,若存在x使不等式
成立,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75330c2b025bedab512d28fb1d74ef4a.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b108ab31cc093f03cf48ad65429889e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9c599e8d420006448905acec2b8234.png)
(2)若当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/820351225ac06e38da30c64afe079f17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f81ed7f6a4475e0fa682fa81ee747da3.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/837ca2d3731f02802f22c37d61232b34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa18838a13fda4e45612c32cdf98b71.png)
您最近一年使用:0次
2020-02-28更新
|
150次组卷
|
4卷引用:上海市进才中学2018-2019学年高三上学期开学考试数学试题
上海市进才中学2018-2019学年高三上学期开学考试数学试题2018届上海市静安区高考二模数学试题(已下线)重难点12 选考系列(参数方程与不等式)-2021年高考数学【热点·重点·难点】专练(上海专用)(已下线)课时29 二、三阶行列式-2022年高考数学一轮复习小题多维练(上海专用)
6 . 由
个互不相等的正数组成的矩阵
中,每行中的三个数成等差数列,且
、
、
成等比数列,下列判断正确的有
①第
列中的
必成等比数列;②第
列中的
不一定成等比数列;③
;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8d02ea8c4988c5c28ab93f0d70fb55a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d537d58c1657629b053368830666779.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eeb9d1aa1cc02e6fe13141ecf5f2549b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bab5310774cd482fffd19586983b44c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/699f39dd97b907f10708e0dc75076f8a.png)
①第
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e656f8468f99e0f5e60fd190893299af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98a6f6b78f8f195a961634727d8c934f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93a483f03e2a7fd4769bc50f184692d3.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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7 . 已知
(
为常数),
,且当
时,总有![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b8162bee503aecf1dd7f835635b63bd.png)
,则实数
的取值范围是_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60cf9ee8dde338b022a4366c5dcd59bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e4e360b821890b2afdcbc32a0fa0b85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f58620b99bef329c27333ec461234ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b8162bee503aecf1dd7f835635b63bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3ec8f79b42db17aff3a207f371156ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2020-01-10更新
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187次组卷
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4卷引用:上海市黄浦区2016-2017学年高三上学期期终调研测试数学试题
上海市黄浦区2016-2017学年高三上学期期终调研测试数学试题2017年上海市黄浦区高考一模数学试题(已下线)模块09 矩阵和行列式初步-2022年高考数学一轮复习小题多维练(上海专用)(已下线)第3章 函数-【优化数学】单元测试能力卷(人教B版2019)
8 . 对于集合A,定义了一种运算“
”,使得集合A中的元素间满足条件:如果存在元素
,使得对任意
,都有
,则称元素e是集合A对运算“
”的单位元素.例如:
,运算“
”为普通乘法;存在
,使得对任意
,都有
,所以元素1是集合R对普通乘法的单位元素.下面给出三个集合及相应的运算“
”:
①
,运算“
”为普通减法;
②
,运算“
”为矩阵加法;
③
(其中M是任意非空集合),运算“
”为求两个集合的交集.
其中对运算“
”有单位元素的集合序号为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c3c2f679d53b91088ba6eb14c16cbc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c857a4984543f15c4637084f0e0db0d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cc020b0997a2f37b214718112b79d8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c88aa4c16567c4cfda0fe4df69751a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c3c2f679d53b91088ba6eb14c16cbc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/843c3f388a75bf981c11ca947a86e5fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c3c2f679d53b91088ba6eb14c16cbc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d15b0b4873f8b9320f22437525bc96f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1e69392d21261afd8e5e5f096634669.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/845198de78fd8737a5bce7178622ca36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c3c2f679d53b91088ba6eb14c16cbc0.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/843c3f388a75bf981c11ca947a86e5fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c3c2f679d53b91088ba6eb14c16cbc0.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24c01a4595d9129a944090973728205a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c3c2f679d53b91088ba6eb14c16cbc0.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8a4e50298e5cc496e0d4e00d84403ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c3c2f679d53b91088ba6eb14c16cbc0.png)
其中对运算“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c3c2f679d53b91088ba6eb14c16cbc0.png)
A.①② | B.①③ | C.①②③ | D.②③ |
您最近一年使用:0次
2015-01-28更新
|
746次组卷
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6卷引用:2015届上海市闸北区高三上学期期末练习理科数学试卷
2015届上海市闸北区高三上学期期末练习理科数学试卷2015届上海市闸北区高三上学期期末练习文科数学试卷上海市静安区2017-2018学年度第一学期高中教学质量检测高三数学试卷上海市复旦大学附属中学2019届高三高考4月模拟试卷数学试题(已下线)第1章《集合》 培优测试卷(一)-2021-2022学年高一数学上册同步培优训练系列(苏教版2019)(已下线)课时28 矩阵的概念及运算-2022年高考数学一轮复习小题多维练(上海专用)