1 . 如图,
为正三角形,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/20/fad1643e-94c6-45c2-b42f-d10547353ab6.png?resizew=207)
(1)求
的长;
(2)求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942fbf667a46bf4111fecdf5955255e6.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/20/fad1643e-94c6-45c2-b42f-d10547353ab6.png?resizew=207)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab2a2834d80ff574e79eae8ca8d4e94f.png)
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2023-03-19更新
|
404次组卷
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2卷引用:陕西省渭南市蒲城县2021届高三下学期第二次对抗赛理科数学试题
2 . 已知等比数列
满足
,
,则
的值为( )
![](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/338930e23402fe249ae87b1624a8318e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fd71bc7e6668f90f259ad0b06dd60c2.png)
A.1 | B.4 | C.![]() | D.9 |
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3 . 若实数
,
满足约束条件
,则
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebf44645a2a6c7e177a535822a2fa85e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1b21ae65c66545072af230ad0c583e6.png)
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解题方法
4 . 在
中,
,
,
的面积为
,则
边的长为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/284a563413dc0532138fb2a64db8cc2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bb5b12692517a39c320f99a479eb055.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38387ba1cadfd3dfc4dea4ca9f613cea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
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解题方法
5 . 在
中,
,
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/209694bf5dab6daa821330e6d180be6e.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8e39bee1445161f91213c83b498b8ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef0402dd5ae3db10281f9f1e11738bcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59e29b822cda1ba926e96368094fa1a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/209694bf5dab6daa821330e6d180be6e.png)
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名校
6 . 在等比数列
中,若
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fa69dde104dcf963e67647e801e0149.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc6add7e54a8abbf0ea8d16b1f4614f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3bb7147e313f9d9f67d19ecb5f499c05.png)
A.5 | B.-5 | C.±5 | D.25 |
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2023-03-18更新
|
1052次组卷
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3卷引用:陕西省西安市周至县2021届高三下学期三模文科数学试题
名校
7 . 如图,在平面四边形
中,
,
,
,
,
.
的长;
(2)求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6b0c6766bd801fa114221d0ab0bfa61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15d556e72cd36fcaa9b04ce1552a8068.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd7daa2e5fdd2f3db55021436a884a73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef0402dd5ae3db10281f9f1e11738bcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d70dc2c20619a4fc12a0cfda59af5b69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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11卷引用:陕西省西安市周至县2021届高三下学期三模理科数学试题
陕西省西安市周至县2021届高三下学期三模理科数学试题陕西省西安市周至县2021届高三下学期三模文科数学试题湖南省郴州市嘉禾县第六中学2022-2023学年高二下学期期末摸底数学试题(已下线)2023年高考全国甲卷数学(文)真题变式题16-20湖南省长沙市浏阳市2022-2023学年高一下学期期末数学试题江苏省南京师范大学附属实验学校2022-2023学年高一下学期期中数学试题福建省长汀县第一中学2023-2024学年高一下学期第一次月考试卷数学试卷湖南省衡阳市第二十六中学2023-2024学年高一下学期第一次月考数学试题福建省莆田第一中学2023-2024学年高一下学期期中考试数学试题四川省内江市威远中学校2023-2024学年高一下学期第二次月考数学试题福建省福州市闽侯县第一中学2023-2024学年高一下学期第二次月考(5月)数学试题
名校
解题方法
8 . 已知数列
满足
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c46cbb1eb0b945fa95ed0f6ae71818d5.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97034664bd213a31e81b9625f83d0e26.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8dc759e6f45cff8dacef4206490e98a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c46cbb1eb0b945fa95ed0f6ae71818d5.png)
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2023-03-18更新
|
806次组卷
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6卷引用:陕西省西安市周至县2021届高三下学期三模理科数学试题
9 . 已知数列
是无穷等比数列,若
,则数列
的前n项和
( ).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7e3b08a87e569f66983bab5a0c53185.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
A.无最大值,有最小值 | B.有最大值,有最小值 |
C.有最大值,无最小值 | D.无最大值,无最小值 |
您最近一年使用:0次
解题方法
10 . 已知数列
的前n项和为
.
(1)求证:数列
是等差数列;
(2)设
,求数列
的前n项和
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4300dca231e2f4b37f70900b33439d5e.png)
(1)求证:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cef41041772c03009d75367c4c3b0ff1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
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