1 . 已知数列
的前
项和
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83ccfbc09d94ee47de97273a64584fcb.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/24787b8bcc72ec9ac5e3bb1b6793066b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83ccfbc09d94ee47de97273a64584fcb.png)
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2 . 在
中,已知
,
,
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f002f960ec07ea229ed243e2d991d83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c365da2b0ffc3e6263dcd363e737847.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20d70009d48ea5ed5e20cc5eff3d557e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
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3卷引用:山东省潍坊安丘、日照某高中2022-2023学年高二下学期7月期末联考数学试题
山东省潍坊安丘、日照某高中2022-2023学年高二下学期7月期末联考数学试题【人教A版(2019)】专题21(一轮复习)三角函数与解三角形(第二部分)-高二下学期名校期末好题汇编(已下线)6.4.3 第1课时 余弦定理【第二练】“上好三节课,做好三套题“高中数学素养晋级之路
3 . 在等比数列
中,
,
,则公比q为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c705ed1d40eb3d40ebadd05dbb645b73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3aa54a479e4178d698818f69d859fe13.png)
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2卷引用:山东省潍坊安丘、日照某高中2022-2023学年高二下学期7月期末联考数学试题
4 . 已知
,
,且
,则
的最大值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd98ce07e05c58d83a48d90dfcb28fd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/915bc65b789e5d011da94fad3b9ec005.png)
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3卷引用:山东省德州市2022-2023学年高二下学期期末数学试题
名校
5 . 如图,为了测量河对岸的塔高
,选取与塔底
在同一水平面内的两个观测点
和
,测得
,并在
处测得塔顶
的仰角为
,则塔高![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c26a46e7879436d532af3f4b6e258a81.png)
________ m.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.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)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/902270ac3b434602335e42b2f661c12a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6b86c22b670a8e9f3896f9e8883fbbb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c26a46e7879436d532af3f4b6e258a81.png)
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5卷引用:山东省利津县高级中学2023-2024学年高二上学期开学质量检测数学试题
山东省利津县高级中学2023-2024学年高二上学期开学质量检测数学试题山东省泰安市2022-2023学年高一下学期期末数学试题黑龙江省哈尔滨工业大学附属中学校2023-2024学年高二上学期开学考试数学试题(已下线)第六章 三角(单元重点综合测试)-单元速记·巧练(沪教版2020必修第二册)【人教A版(2019)】专题08解三角形(第一部分)-高一下学期名校期末好题汇编
6 . 已知
,
且
,则
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc65d6eb9b63f96d80b54ec9893aee8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/125dbf77e49d9b994d1ba8fb7a143607.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02c6f0fffc385985f4186b4212ee696f.png)
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2卷引用:山东省泰安市2022-2023学年高二下学期期末数学试题
7 . 已知数列
为等差数列,且
,则
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1058254faf78a383415111725525be7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e9ba779ae126b3cad3185a4c54eedfd.png)
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8 . 已知数列
满足
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a7bf78468ca801ef305ce4f76986da1.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b13a6e1d671215fc96e4bee3541d1096.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cceb2c03455b66b7014b3df7282c01db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a7bf78468ca801ef305ce4f76986da1.png)
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名校
解题方法
9 . 已知
,则
的最小值是_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/606ef9cb8c9c4f61ab2acc4c11fec693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe3f824aa4165ca86e82ba8ddbc46b9a.png)
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2卷引用:山东省滨州市2022-2023学年高二下学期期末数学试题
10 . 记
为等比数列
的前
项和.若
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16b326c94e02d84a19bd6a12bf8e15ff.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.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/293c2a35a55a6dadd55bc8ac83bb5235.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32379887d9e49244cf6223ffd9a99bf2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16b326c94e02d84a19bd6a12bf8e15ff.png)
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