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1 . 如图,四棱锥
的底面
为矩形,且
平面
,若
,则下列结论错误 的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4117625867a74cd022584500c76deca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fb7c585995d694d03475797830ca98f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/795eb94a21fc9699d55bb819ec6bd3b8.png)
A.直线![]() ![]() ![]() | B.平面![]() ![]() |
C.![]() | D.二面角![]() ![]() |
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2 . 如图,在
中,点
是
上的点且满足
,
是
上的点且满足
,
与
交于
点,且
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8f750b00c80522cbf882b082def2ae4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6acb709a36f14162706225313b154704.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db54223bb3fc2fe2497213a4d1f94827.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7785afeeaf274892253d04b4f693b367.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/734c5f0ab3f244ae2ce1ba7b618cb0ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96724b211bf3e56d588bd430aa3f2894.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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3 . 崇丽阁之名取自晋代左思《蜀都赋》中的名句“既丽且崇,实号成都”.如图,在测量府河西岸的崇丽阁高
时,测量者选取了与塔底
在同一水平面内的两个测量基点
与
,并测得
米,在点
处测得塔顶
的仰角为
,则塔高
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.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/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c3d264801530399b0427876bd2a69e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6b86c22b670a8e9f3896f9e8883fbbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c26a46e7879436d532af3f4b6e258a81.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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4 . 已知双曲线
的左、右焦点分别为
,
为左支上一点,
的内切圆圆心为
,直线
与
轴交于点
,若双曲线的离心率为
,则 ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c7f02a81db3da5c19fe5f5bcf5856ac.png)
___________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3040b6c904477030ecf8ba20b2b18759.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a64cd73474d08729bb8381a566add5d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ede935419d69a161bb22fd513647da06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d59ab85c075a09d55d69e159e4abb268.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c7f02a81db3da5c19fe5f5bcf5856ac.png)
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解题方法
5 . 如图,在扇形OAB中,半径
,圆心角
,F是扇形弧上的动点,矩形CDEF内接于扇形,设
,则矩形CDEF的面积的最大值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52705567101a48893de582656ef41527.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbc790cfaa59a808c25a7edb95dc29fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60c22f040f353ab28a6e00ddd56913c2.png)
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6 . 已知平面向量
,
,
.
(1)设函数
,求
的对称轴方程;
(2)设函数
,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9d7254ef3572dab258992009118ad52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55afdcae451c6c80aec81a2add346f5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cce72f5be6a326974b161ca7c80bf75.png)
(1)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26f31953ed87a666e98898a6ced457f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8bd58611e57c50d170d4e13f62e8dc7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
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解题方法
7 . 在
中,角A,B,C所对的边分别为a,b,c,下列命题是真命题的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
A.若![]() ![]() |
B.若![]() ![]() ![]() ![]() |
C.若![]() ![]() |
D.若![]() ![]() |
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8 . 在
中,a,b,c分别为内角A,B,C的对边,若
,
,且
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39f2c0df8a431457218cf3dcc7986fdd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94a67c529d3e81a79c4e4409953d316f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b2eb41913d12742fa72f7d29da3c295.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f4e9bb42376c12d7d21702ae8062b25a.png)
A.![]() | B.4 | C.![]() | D.5 |
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9 . 如图,已知二面角
的平面角为
,棱
上有不同的两点
,
.若
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/754bbd99327195520a4ca3ce3b9a0577.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1a63ab608517bb10aa036783dfb51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fa39ea3905adefa094140b721ab5a47.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/573e274644284456ddc516f1c40f09d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e9b9d23b4f8dd581461004689d0b863.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/6/18/9144243e-50db-4a4b-bf9f-3c9e7a5d2c8e.png?resizew=170)
A.点![]() ![]() | B.直线![]() ![]() ![]() |
C.四面体![]() ![]() | D.直线![]() ![]() ![]() |
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10 . 下列说法中正确的是( )
A.已知随机变量![]() ![]() ![]() ![]() |
B.甲、乙、丙、丁到4个景点旅游,每人只去一个景点,设事件![]() ![]() ![]() |
C.五名学生去四个地方参加志愿者服务,每个地方至少有一名志愿者,则不同的方法共有240种 |
D.甲、乙、丙、丁、戊五名同学排成一排合影留念,其中甲、乙均不能站左端,且甲、丙必须相邻,则不同的站法共有30种 |
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