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1 . 下列函数中,是奇函数且在区间
上是减函数的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7160d93f92089ef36f3dab809d3114b8.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2 . 若圆锥的母线长为6,其侧面展开图的面积为
,则这个圆锥的体积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02dba908a505cff93e0b297d00b82a40.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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3 . 下列不等式成立的是( )
A.![]() | B.![]() |
C.![]() | D.![]() |
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4 . 下列结论正确的个数( )
①若随机变量
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2d570d93945a2e29ff893ddfbcc871d.png)
②已知随机变量
满足
,若
,则
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6683f0f179d85b382dbd058df6a63fc.png)
③有8名学生,其中5名男生,从中选出4名学生,选出的学生中男生人数为
,则其数学期望
为2.5
④对于二项式
,存在
,使展开式中有常数项
⑤数据6,2,3,4,5,7,8,9,1,10的
分位数是8.5
①若随机变量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/766301d99a2fdd3bc255c94a6dd10b32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2d570d93945a2e29ff893ddfbcc871d.png)
②已知随机变量
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa0010cb466163db1349fc1040f6b439.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb6aad58811d3299b55edd2f9e7c8b27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e00839b5f46bfbd4843b919f2cfbdf8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cfab5f4d585b1b0234b3a8099d7ce11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6683f0f179d85b382dbd058df6a63fc.png)
③有8名学生,其中5名男生,从中选出4名学生,选出的学生中男生人数为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f022950e0faa45b617d497b01b5292b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bf3baba074e8aeb6f3ea117865bbd1b.png)
④对于二项式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/881842bfda322d1ea2723220872d8d34.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e145b6046bc80d0ffecc61ac67c87ca1.png)
⑤数据6,2,3,4,5,7,8,9,1,10的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65d9d0d66a7f8fc34082cf8c45f64839.png)
A.2 | B.3 | C.4 | D.5 |
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解题方法
5 . 在锐角
中,内角
的对边分别为
,且
.
(1)求角
的大小;
(2)若
外接圆的半径为
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ee0c35ced8ea976c28f7a23e9e38320.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e71cd32a9a68ebcc12ced20abcb2f89.png)
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4卷引用:辽宁省北镇市第二高级中学、第三高级中学2024届高三上学期第四次月考数学试题
辽宁省北镇市第二高级中学、第三高级中学2024届高三上学期第四次月考数学试题河南省新高中创新联盟TOP二十名校计划2024届高三上学期11月调研考试数学试题河南省TOP二十名校2024届高三调研考试七数学试题(已下线)第11讲 6.4.3 第2课时 正弦定理 (2)-【帮课堂】(人教A版2019必修第二册)
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解题方法
6 . 已知
、
、
是三条不重合的直线,
,
是两个不重合的平面,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
A.若![]() ![]() ![]() |
B.若![]() ![]() ![]() ![]() |
C.若![]() ![]() ![]() |
D.若![]() ![]() ![]() ![]() ![]() ![]() ![]() |
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7 . 已知复数
满足
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/228584e260f7837523bf82113cf9134e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27acc37c76fcd5f5f79baf0deb77de5b.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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8 . 设集合
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e438e97460b70d650f6c7f213ffa8df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4133462d729b17b050e890ec6a232d03.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95e60375f97ff7854f4d3a8b1108d2e3.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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9 . “杨辉三角”是二项式系数在三角形中的一种几何排列.从第
行开始,第
行从左至右的数字之和记为
,如
,
,
,
的前
项和记为
,依次去掉每一行中所有的
构成的新数列
、
、
、
、
、
、
、
、
、
、
,记为
,
的前
项和记为
,则下列说法正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38eec2adafdf745ca8ad514469549abb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96abfe2da27a63e6affb19a0c80236d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e7df0430db8db9fc354ffdd038fb432.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c996a43ff8843aec0be0a9d0ac0e9ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa5e9bd516f6282483b92cfe6074623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.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/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f8c4c029e552954bd493b49aeab82d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d91e07104b699c4012be2d26160976a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d07ae0b4264da6a8812454ffd2f20d94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d07ae0b4264da6a8812454ffd2f20d94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d91e07104b699c4012be2d26160976a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa5e9bd516f6282483b92cfe6074623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.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/38eec2adafdf745ca8ad514469549abb.png)
A.![]() | B.![]() ![]() ![]() |
C.![]() | D.![]() |
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10 . 如图所示,四边形
是由斜二测画法得到的平面四边形
水平放置的直观图,其中,
,
,点
在线段
上,
对应原图中的点
,则在原图中下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d609847e2ff3d64e5a514582c3ead0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bedc3a08d1e9a0ba124f32b1eef5fbdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78910df1067f240e346e651fadff26d6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cee6765a83140d745a6de4c85d9b6b50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38d42170c7d4249f6b390823606c18c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cee6765a83140d745a6de4c85d9b6b50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/29/d16d2f4e-4b5f-4e86-9b6c-e9e066aea50c.png?resizew=177)
A.四边形![]() |
B.与![]() ![]() |
C.![]() ![]() ![]() |
D.![]() |
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