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1 . 设
是一个随机试验中的两个事件,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/992a45dcac87eeb949b409602a95917a.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c13cf68f47d21115c75d338dd6eb381e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/992a45dcac87eeb949b409602a95917a.png)
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2 . 已知函数
的图象向左平移
个单位长度得到
的图象,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec27d2122104783eb0e5363724fb7e8d.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/159b8c213a2823d7996bc4f57fd12b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41b6ae6ce67b1e6bacf10a5e163e6eb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec27d2122104783eb0e5363724fb7e8d.png)
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3 . 抛物线
绕其顶点逆时针旋转
之后,得到抛物线
,其准线方程为
,则拋物线
的焦点坐标为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18c156c3b344e637b4f86404f2711940.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc7f86c01dc112967f375c7fb116aa60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/856617a253b7e9349516cf591a184b83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
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4 . 在《九章算术》中,将四个面都是直角三角形的四面体称为鳖臑,在鳖臑
中
,
,
,
,
,已知动点E从C点出发,沿外表面经过棱AD上一点到点B的最短距离为
,则该棱锥的外接球的体积为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/891579e7c231584a8e16b8eeff79888e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/080db3af81b29ed10144a1c2e2a4fb8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8915e8e775538d41debf1933102c6b86.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c90da0cd2708481057fe19acebf2ec7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce4ab7e657f01bdfa235f8c4d6681d13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ed18447a59016c8c89d1561f7dd5172.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4056761b8f826eeb6ad8c9a151d3c9c.png)
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5 . 如图,这是整齐的正方形道路网,其中小明、小华,小齐分别在道路网臂的
,
,
的三个交汇处,小明和小华分别随机地选择一条沿道路网的最短路径,以相同的速度同时出发,去往
地和
地,小齐保持原地不动,则小明、小华、小齐三人能相遇的概率为 __ .
![](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/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
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6 . O为坐标原点,双曲线
的左焦点为
,点P在E上,直线
与直线
相交于点M,若
,则E的离心率为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ef66f4832adc43902055a7e6d258037.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ac86e1c253297a377e14fb9a1689be8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4769228ab5c2538da39d7490e11070c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5507e0871c69f8ccbe20581ec0cd1249.png)
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7 . 在
中,内角
所对的边分别为
,满足
,
是边
的中点,
,且
,则
的长为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5458cf682081953c2d6ecdb13ca67291.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a80d642494e68c4bd5219a7c67ffe5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bb75557d217f59ef1f33e8da1ac0d09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f47f2b6e8510964c9df2cc058891eb07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74f3107cdd4180a3b37b8a22d8ececbf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
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2024-06-13更新
|
144次组卷
|
2卷引用:福建省安溪第一中学2023-2024学年高一下学期5月份质量检测数学试题
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解题方法
8 . 已知向量
,
满足
,
,
,则
与
的夹角为________ .
![](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/6f96512f96698efe080f3d62c3084cc4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e16d81d266f24698696a81ed5e007680.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0be907a5a919e17784f7be656068689c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
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2024-06-08更新
|
584次组卷
|
3卷引用:福建省泉州市惠安县泉州惠南中学2023-2024学年高一下学期5月期中考试数学试题
福建省泉州市惠安县泉州惠南中学2023-2024学年高一下学期5月期中考试数学试题(已下线)专题01 平面向量(2)-期末考点大串讲(苏教版(2019))2024年贵州省观山湖第一中学高一年级第二学期5月月考数学试题
9 . 已知函数
,则
的值为_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e500a5445d62979cec0ad4a4e698f0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ba20c2fe92bf98bf49b4e44b80919b4.png)
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10 . 第
届冬奥会于
年
月
日至
月
日在北京和张家口举办,某高校甲、乙、丙、丁、戊
位大学生志愿者前往
、
、
、
四个场馆服务,每一位志愿者只去一个场馆,每个场馆至少分配一位志愿者,由于工作需要甲同学和乙同学不能去同一场馆,则所有不同的安排方法有________ 种.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49e60fbe6820130fb20abc555a94b5ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d01dd350dc95f42f1883e0cc7aae084.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b7f27ebcef70a3ebbbe8d2e53ea0896.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d91e07104b699c4012be2d26160976a2.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/8455657dde27aabe6adb7b188e031c11.png)
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