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1 . 下列集合关系不成立的是( )
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
2 . 已知数列
的前
项和为
,且
.
(1)求数列
的通项公式;
(2)求证:
.
![](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/bf6565f4d7acc79ddff1ca545a1f01c0.png)
(1)求数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bbdef3ea961cf33cc9a8ec9f4e72d76.png)
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3 . 已知集合
,
,则
=( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6aed1b3de05252ded9561ef8ca88f07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0de2984761850063688fe22e0daa07a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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4 . 设
为双曲线
:
左、右焦点,点
在
的右支上,线段
与
的左支相交于点
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fbcc5cd6c478374feb2f610cc81e9d4.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c38928a92bc4b44ed3c9b89769f5372.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b94469fd19f40116e2dec334919d6586.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8264135ba3bc4e68f571ea9293b0fc5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b94469fd19f40116e2dec334919d6586.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d8ad9e94d07405a6be585f81a0d623b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b94469fd19f40116e2dec334919d6586.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3effb79e6b61f1c41ed56431f6fca175.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fbcc5cd6c478374feb2f610cc81e9d4.png)
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5 . 已知数列
满足:
,且
,
.
(1)证明:数列
是等比数列,并求数列
的通项公式;
(2)若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b5299d8681e97043a0e449cde0f9731.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be9b1d808f2e220696fba4590677ea0f.png)
(1)证明:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b463e643a730e8f11504f135a1400909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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6 . 已知圆
的面积为
,则实数
的值为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39a25551b7fdcfef454c716d57205294.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e9fdc1f8ed0ae44b54a9a2a3aca2db4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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7 . 不等式
的解集为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e81968793ed1b394b36ea950599cdf5.png)
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解题方法
8 . 已知
分别为椭圆
的左、右焦点,
为椭圆上一点且
,则
的面积为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74e389716da1ff5ac0ee65f1d3d2c1a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b6adab224b9e3552b032249e6149671.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33d776753746914c2410a3946c357f35.png)
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9 . 佛兰德现代艺术中心是比利时洛默尔市的地标性建筑,该建筑是一座全玻璃建筑,整体成圆锥形,它利用现代设计手法令空间与其展示的艺术品无缝交融,形成一个统一的整体,气势恢宏,美轮美央.佛兰德现代艺术中心的底面直径为8
,高为30
,则该建筑的侧面积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e15e00f40396e914d1d9955bd7785f1f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e15e00f40396e914d1d9955bd7785f1f.png)
A.![]() ![]() | B.![]() ![]() | C.![]() ![]() | D.![]() ![]() |
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2024-06-11更新
|
378次组卷
|
3卷引用:广东省深圳市光明区高级中学2023-2024学年高三下学期5月模拟考试数学试题
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10 . 已知集合
,集合
满足:①每个集合都恰有4个元素;②
.集合
中元素的最大值与最小值之和称为集合
的特征数,记为
,则
的最大值与最小值的差为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b8ba1e4fc97b6aae170ba402f00a06d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6fa157b4f65f3a9aa1f7f82de02e99e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d343d79a12548d8e4f5b1dd6dd9bf2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ed5791766a68be89ceda7f1505e4fd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e819b87f90651d89fcd258c276294e43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/977596d92064cd96041927d539b09731.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eced34833fc5ee8ad2c6817ced270988.png)
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