1 . 已知数列
的首项
,且满足
.
(1)证明:数列
是等比数列;
(2)若
,求正整数
的最大值.
![](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/4b481ba790a4bc8c2f52f67a14cc1d20.png)
(1)证明:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5251e4259930126400dac30b389afe0.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a90021cb37adf08bdd61e96ac3d9cfc2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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2 . 已知圆
:
,圆
:
,则两圆的位置关系为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93f143ca890a2e92f28a942cbad62781.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59c62a5bc2ddd8b57ed3ab0e3adc507d.png)
A.内切 | B.相交 | C.外切 | D.外离 |
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解题方法
3 . 双曲线
的焦点到渐近线的距离为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ee348b3e89083a215551a42e9cd6bc9.png)
A.![]() | B.2 | C.![]() | D.![]() |
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解题方法
4 . 已知正项 等比数列
,
,且
,
,
成等差数列,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afd21f4cb498101d26b4aaa2e1a6addc.png)
_______ .
![](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/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daf464629fa321a6ff7401ab79f07083.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2b42a580c957be7f0fe5e0de6693d69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afd21f4cb498101d26b4aaa2e1a6addc.png)
您最近一年使用:0次
名校
5 . 已知向量
.
(1)求函数
的解析式及其单调递减区间;
(2)若函数
在区间
上有且仅有两个零点,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7aaa8e6afc29a030ac894b6988499f4.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f85560318867b5b8d43e32cb6764ade6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4be49e9bc258e5331b4e785ac3ecacfe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
2024-02-23更新
|
586次组卷
|
3卷引用:浙江省宁波市九校2023-2024学年高一上学期1月期末联考数学试题
名校
解题方法
6 . 下列式子化简正确的是( )
A.![]() |
B.![]() |
C.![]() |
D.![]() |
您最近一年使用:0次
2024-02-23更新
|
622次组卷
|
3卷引用:浙江省宁波市九校2023-2024学年高一上学期1月期末联考数学试题
浙江省宁波市九校2023-2024学年高一上学期1月期末联考数学试题(已下线)8.2.2 两角和与差的正弦、正切(2)-【帮课堂】(人教B版2019必修第三册)江苏省宿迁市泗阳县桃源路中学2023-2024学年高一下学期4月月考数学试题
7 . 如图,在四棱锥
中,
底面
,
,点
在
上,
,过点
作
的垂线交
于点
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/23/0f2a09fe-1071-4499-b752-3aee78e05a42.png?resizew=153)
(1)证明:
平面
;
(2)求平面
与平面
夹角的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5164a3cc47e266446d49127e2ef10c37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f4c3f9dd5d0343597a7f58a1989b537.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e60af2ff39cfdc2335996c51f8be677.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f341b98caabf99bc683ce8407068735e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1496042c1d721cffd25053e997a9a97.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/23/0f2a09fe-1071-4499-b752-3aee78e05a42.png?resizew=153)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a22d6b860f06fe23618b0d3de6768fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73cc4309dcef077fbcf60099f47b7b37.png)
(2)求平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73cc4309dcef077fbcf60099f47b7b37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4eb7e9ad5486cf1c5e506b20c5469e8.png)
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8 . 已知集合
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ad0c99f90d52146555244887288384f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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9 .
的展开式中
的系数为____________ .(用数字作答).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5dfdc12d7fd535d7f60b9392764b7e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d800f03de80068a1172beac3a2c75587.png)
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解题方法
10 . 已知
成公比为2的等比数列,且
.若
成等比数列,则所有满足条件的
的和为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61ba63ad02b1d5af2982fac3d91eb15c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64f12a1b977d45ffc7a4753eb1e2301d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56f1608660d7d134ffc56d3fe068c898.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
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