1 . 计算![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0085492b88554f03de9706620de0b0a6.png)
________ (其中
为虚数单位).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0085492b88554f03de9706620de0b0a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a7035cd4adda5d72a9fc9f9fda75995.png)
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2 . 设复数
与
所对应的点为
与
,若
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93c52d84d07fdba69e17f18f2e40324d.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af68f652b4c13657ffddf3c9e7eb262b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa224ed9be8766a4d0b5138bd57de0f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bb8477bcc87b1401970171bf57b9ecb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2c1fd680a5d355178273c6d6025eb80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2c916fd7ddb4e800d98b15ce54c4d66.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a16105f1d12039647ae9c72bc8d887e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93c52d84d07fdba69e17f18f2e40324d.png)
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3 . 有5名志愿者报名参加周六、周日的公益活动,若每天从这5人中安排2人参加,则恰有1人在这两天都参加的不同安排方式共有________ 种.
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4 . 各项为正的等比数列
满足:
,
,则通项公式为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039e4fe671d61e59b96ee525c9df43e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdefe767533b3368858d21233e65bf59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f7fda69e2b32b9ced2239f915fa59b.png)
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解题方法
5 . 若函数
为奇函数,则函数
,
的值域为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99112bce4a8fad00dd9fc9bbdb80affd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66692ec49a458f9e48c7315d03dfc37b.png)
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6 . 设直线
与平面
所成角为
,给出下列命题:(1)平面
上不存在直线,使之与
所成角小于
;(2)设
,平面上恰有两条直线与
所成角均为
;(3)若直线
,则直线
与
所成角大小为
;其中真命题的序号为______ .
![](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/3a19d119e7b5def3c2daf784de0b938c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/576ffb1a94702556f62394f487328427.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6581916f5a65edfea257c804efee007e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b59b1a01a6da42ff2a41e5b91ea301ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86cab34861ef1ca97c9690ee9d8aef1c.png)
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7 . 已知事件
与事件
相互独立,如果
,
,那么![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc9fd286ead39b7a5446f4c63a3449a2.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/c87a988f3254a58d5af6045f370a8e69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bfc596c359ff7dbb3e0f11263fcd611.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc9fd286ead39b7a5446f4c63a3449a2.png)
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解题方法
8 . 函数
为奇函数,则实数a的值为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d22e98a005621833ffdece28a39369a.png)
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2024-01-22更新
|
597次组卷
|
2卷引用:上海市杨浦少云中学2023-2024学年高一上学期期末数学试题
名校
9 . 已知椭圆的焦点坐标为
,短轴长为4,则椭圆的标准方程为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a80fd8b6f1f56304198b3fe89accd3f.png)
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2024-01-20更新
|
239次组卷
|
4卷引用:上海市杨浦高级中学2023-2024学年高二下学期3月月考数学试卷
上海市杨浦高级中学2023-2024学年高二下学期3月月考数学试卷上海市莘庄中学2023-2024学年高二上学期期末数学试题 (已下线)2.2.1 椭圆的标准方程(十三大题型)(分层练习)-2023-2024学年高二数学同步精品课堂(沪教版2020选择性必修第一册)(已下线)专题04 圆锥曲线(六大题型+优选提升题)-【好题汇编】备战2023-2024学年高二数学下学期期末真题分类汇编(沪教版2020选择性必修,上海专用)
名校
10 . 已知
,
,则用a、b表示![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08ade403f53f59c3d91ea949ad7bf1b1.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d374949da9f35029d5be3f1601833773.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5bd6d715955605b8fe87922fd959c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08ade403f53f59c3d91ea949ad7bf1b1.png)
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