1 . 设数列
和
都为等差数列,记它们的前
项和分别为
和
,满足
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.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/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dda309e849ab648190ac38b942a150c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98904bedbce77c4bb629a97d46beb476.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2 . 如图,为了测量两山顶
间的距离,飞机沿水平方向在
两点进行测量,
在同一个铅垂平面内.已知飞机在
点时,测得
,在
点时,测得
,
千米,则
( )
(提示:
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7789a500686c7a73770404ead6af0590.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d63368fb5c4feebe59c81bd5c90d8eaf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54cc97b5f2f221d172c2c98484c0bf02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80be421a052e5eb07a61115d89cdf9ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/351e0ae44264ea8e5f71e50f7cc53cda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a2b3247afa684b10c8e1da99cf33d5b.png)
(提示:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b68f4ac11ec17ec3bee7e128dafaaaa.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
3 . 在△ABC中,
,
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fadd2e6f0aa16c2c466c904474ffc79c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ec6118916717a5b01199a6876da4a72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e54a36173cd9b7b28e91619d715cb569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/facd1fcfad659e95da18c38e5eb157b8.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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4 . 已知数列
满足
,数列
的前
项和为
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f65d758759b82108eda1b384208e7f3.png)
![](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/7d9d2859628404857f0de7b5f3f0fd0b.png)
A.2022 | B.2023 | C.2024 | D.2025 |
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5 . 已知正项等比数列
中,
,
,
成等差数列,其前n项和为
,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e88093a749c0d46e0ee931ecfaff925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7755b0ec8df40da1e10c3567e441be7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1ccc6c74b8754e9bcbb3f39a11b6f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/980794e51cc6d0c36de4ce01135099dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afd21f4cb498101d26b4aaa2e1a6addc.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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6 .
的内角
的对边分别为
若
边上的高等于
,且
的面积为
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7132c2d8b2ff504e6c2ba36c4f6dcfaf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc78256f4c7a57810c48a113c6f1fe4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/054eb008e661c0439832bb567026174f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b9a53e552116848849b76dab92d0ac.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
7 . 在
中,内角
的对边分别为
,已知
,则
的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e30c0a5c92f50dce1f7624709950ff5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/479d42f961d6115871051daeb2791f1e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f384e98d574fa2676d61624285f88188.png)
A.![]() | B.![]() | C.3 | D.![]() |
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解题方法
8 . 已知
的内角
所对的边分别是
,若
,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9ee32c0e2ae80483ceb6e198b9c96ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a0d83444a29f1618ed79ad89c1dbae9.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-05-08更新
|
742次组卷
|
3卷引用:云南省大理白族自治州民族中学2023-2024学年高二下学期5月期中数学试题
名校
9 . 已知
分别是
内角
所对的边,
是方程
的两个根,且
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24e0c10fb103930eabd5fa18e8f9bb06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9a475fec8ded321e10a6697319fb975.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2214e129faf2298b853168363cb2490.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ba7e1a91a46884e973665c3e14d1752.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
A.5 | B.![]() | C.![]() | D.![]() |
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10 . 《周髀算经》中有这样一个问题:从冬至日起,依次为小寒、大寒、立春、雨水、惊蛰、春分、清明、谷雨、立夏、小满、芒种,这十二节气的日影长成等差数列,若前九个节气日影长之和为85.5尺,则雨水日影长为( )
A.10.5尺 | B.9.5尺 | C.8.5尺 | D.7.5尺 |
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