名校
1 . 已知函数
为奇函数,且
图像相邻的对称轴之间的距离为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1ad72d7565699d1ebb741eb0ce12bac.png)
(1)求函数
的解析式及其减区间;
(2)在
中,角A、B、C对应的边为a、b、c,且
,
,求
的周长的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3d9bf2fc2d3909d04ebf677c637b2de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1ad72d7565699d1ebb741eb0ce12bac.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8120119749d4bc28067e73fca7d46cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6663ed72f44bee9e9490a9507deab179.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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5卷引用:江西省赣州市十六县(市)十七校2022届高三上学期期中联考数学(文)试题
2 . 已知数列
的前n项和为
,
,
,设
.
(1)证明数列
是等比数列并求数列
的通项:
(2)数列
满足
,设
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b065334d8f60c49f4bd3d9f1373fe4cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2f3dd930d591a7debf35234d2763c67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ac8e1d60f036093acd1e8fb476226b0.png)
(1)证明数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/034ba25825c13725931c483aa47c9363.png)
(2)数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57ef6d44448092ebdb9e4a49d866a749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49711934f3bf35d46a4ab4fa28bf1007.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/165e448460f1941cff392c4ddc576879.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
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5卷引用:江西省赣州市十六县(市)十七校2022届高三上学期期中联考数学(文)试题
解题方法
3 .
的内角A、B、C的对边分别为a、b、c,已知
,设D为
边的中点,若
且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16ca90e8a784f990c4097eec9219908d.png)
____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6d82bf0ee99766edd9057e6a119f98a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/204fb7cfd350a616164c68ec109880ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51d771743a6d3cab88f6f985a140f94d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16ca90e8a784f990c4097eec9219908d.png)
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解题方法
4 . 已知
为等比数列
的前n项和,
,
,则
( ).
![](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/0aa45ba57a920ce722a0e17307601b92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7fca54fc4f174d66440600d29a69938e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae9ad4e59d7081cf19021423a984bc29.png)
A.30 | B.![]() | C.![]() | D.30或![]() |
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6卷引用:江西省赣州市十六县(市)十七校2022届高三上学期期中联考数学(文)试题
名校
5 . 已知数列
为等差数列,其前n项和为
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5160e22dd62edf2bb5dfcade3bfbf638.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30eb42578f654fb61e826026d2199751.png)
A.110 | B.55 | C.50 | D.45 |
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名校
解题方法
6 .
的内角A,B,C的对边分别为a,b,c,已知
,
的外接圆半径为
.
(1)求角C的大小;
(2)求
面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1edc31696a6f04f94a7904ec3b342311.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c3f8c3ba00c59e0634ed10fa85289de.png)
(1)求角C的大小;
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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2卷引用:江西省赣州市十六县(市)十七校2022届高三上学期期中联考数学(理)试题
解题方法
7 . 在四边形
中,
,D为
外一点,
则四边形
面积最大时![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db90c0feb35aa54464f1303be9118f37.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd140f339486b98c81f889412cd8c199.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1b0a929ad270b3946459a08c3549ea9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db90c0feb35aa54464f1303be9118f37.png)
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8 . 函数
的值域为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3496245b3d0de86c51a5e080e25164f4.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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6卷引用:江西省赣州市十六县(市)十七校2022届高三上学期期中联考数学(理)试题
江西省赣州市十六县(市)十七校2022届高三上学期期中联考数学(理)试题(已下线)专题6.2 幂函数、指数函数和对数函数 章末检测2(中)-【满分计划】2021-2022学年高一数学阶段性复习测试卷(苏教版2019必修第一册)第6章 幂函数、指数函数、对数函数(章末测试提高卷)-2021-2022学年高一数学同步单元测试定心卷(苏教版2019必修第一册)(已下线)专题2-1 函数性质1:值域12类归纳-1(已下线)8.7 指数运算及指数函数(精讲)(已下线)专题4-1 指数函数性质归类(1) - 【巅峰课堂】题型归纳与培优练
9 . 某教师组织本班学生开展课外实地测量活动,如图是要测山高
.现选择点A和另一座山顶点C作为测量观测点,从A测得点M的仰角
,点C的仰角
,测得
,
,已知另一座山高
米,则山高![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a2b3247afa684b10c8e1da99cf33d5b.png)
_______ 米.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4794cf7c57bdd4825d9e6615e2527a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aabecf66d94e4094f9cc46fd8ee050f1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39a61ee9c2a3a4f2690dad01ef53ede1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffdd51cda1514e65f4f3dd506a854562.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6067415c47436e3d8782aabdc01e4847.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a2b3247afa684b10c8e1da99cf33d5b.png)
![](https://img.xkw.com/dksih/QBM/2021/11/11/2848920125947904/2849733032181760/STEM/cafc68c8-d206-4a6a-9597-40769a5d1a62.png?resizew=265)
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10卷引用:江西省赣州市十六县(市)十七校2021-2022学年高二上学期期中联考数学(理)试题
江西省赣州市十六县(市)十七校2021-2022学年高二上学期期中联考数学(理)试题山东省济宁市邹城市2020-2021学年高一下学期期中数学试题重庆市四川外语学院重庆第二外国语学校2022届高三上学期10月月考数学试题河南省驻马店市环际大联考2021-2022学年高二上学期期中考试文科数学试题(已下线)考点14 解三角形-2022年高考数学一轮复习小题多维练(新高考版)陕西省渭南市大荔县2021-2022学年高二上学期期末理科数学试题陕西省渭南市大荔县2021-2022学年高二上学期期末文科数学试题山东省济宁市兖州区2021-2022学年高一下学期期中数学试题安徽省宣城中学2021-2022学年高一下学期期中数学试题广东省深圳市南山实验教育集团华侨城高级中学2024届高三上学期10月月考数学试题
解题方法
10 . 如图所示,半圆O的直径
,点C在
的延长线上,
,点P为半圆弧上的动点.以
为一边在半圆外作矩形
,其中
.设
.
![](https://img.xkw.com/dksih/QBM/2021/11/10/2848150886834176/2849590105530368/STEM/48b4e3ed-f3b5-4cd7-9716-6c06c6761054.png?resizew=263)
(1)将
表示为
的函数;
(2)求
和矩形
的面积之和的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef0402dd5ae3db10281f9f1e11738bcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85e0aef68bb2817ab689437a5d957b13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e64f4980a7faa7d1dac40419032c5b91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19692f3b7b3a02bf61abdafd5cb8c0e4.png)
![](https://img.xkw.com/dksih/QBM/2021/11/10/2848150886834176/2849590105530368/STEM/48b4e3ed-f3b5-4cd7-9716-6c06c6761054.png?resizew=263)
(1)将
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48f3c9abbd78e9a6840ee5f30381daac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fbfcae2cecc98e2d6c16dde6d3ec1c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85e0aef68bb2817ab689437a5d957b13.png)
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