1 . 已知向量
,
,若
,
的方向是沿
方向绕着
点按逆时针方向旋转
角得到的,则称
经过一次
变换得到
.已知向量
经过一次
变换后得到
,
经过一次
变换后得到
,…,如此下去,
经过一次
变换后得到
,设
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7990349c87017f2ca70ec5d462b311b.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59719064db2579c7479960ff3c1051cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab7b0fa63c2cb0f75e1567039892d9a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad4032e4e2b5a1f2e3d30949a26b4c9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab7b0fa63c2cb0f75e1567039892d9a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59719064db2579c7479960ff3c1051cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6b86c22b670a8e9f3896f9e8883fbbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59719064db2579c7479960ff3c1051cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f09757d013574cf058d5bb944fdf034a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab7b0fa63c2cb0f75e1567039892d9a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb55106647ecce34ef0af39724592b82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f09757d013574cf058d5bb944fdf034a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdadc8dd3091aa683cedb22c8395cb8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdadc8dd3091aa683cedb22c8395cb8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f09757d013574cf058d5bb944fdf034a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f5ff9fdc03e7e39389015badf076429.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1ed9eda98abaa9124842592d72451da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f09757d013574cf058d5bb944fdf034a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b0088da81b85b5983ec2fa61a65c9b3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca14b77c77c288f262d22a423a056cd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7990349c87017f2ca70ec5d462b311b.png)
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名校
2 . 定义行列式的运算如下:
,已函数
以下命题正确的是( )
①对
,都有
;②若
,对
,总存在非零常数了,使得
;③若存在直线
与
的图象无公共点,且使
的图案位于直线两侧,此直线即称为函数
的分界线.则
的分界线的斜率的取值范围是
;④函数
的零点有无数个.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a0fa640e2acf1eb17ca755f381eab53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/149a1ddb37d62d7749ac6a21fa11aa60.png)
①对
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce46b097d99475a00d3a2c81a3781647.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdb558e17c9818610772917878d82d03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24d41c39273980b455011cf37bbc13e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c780149aef1bd77162e85f7f8906a6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/575b44db949f6682e6472586b197ce28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac02a054bd0771a56987af33454baaea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad3d396d15b5f77db6904d1b52479438.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c8d21231622781fdb4ad1fe5a32b37d.png)
A.①③④ | B.①②④ |
C.②③ | D.①④ |
您最近一年使用:0次
2020-05-23更新
|
445次组卷
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2卷引用:2020届四省名校高三第三次大联考数学(理科)试题
名校
3 . 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
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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
4 . 在实数集
上定义运算:
.若不等式
对任意实数
恒成立,则实数
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0c8894e0b37af5da23a1c1bffb32017.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/025e48d76e5ba2a6719a060c150469e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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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)
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2020-02-28更新
|
151次组卷
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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 . 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)
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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)
7 . 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 |
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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)