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1 . 如图所示,
是边长为1的正三角形
的
边上一点,从
向
作垂线
为垂足.延长
与
的延长线交于
,设
与
的面积之和为
,把
表示为
的函数:___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af8cf8e8e74ffbca80879e8266145d5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56f6927cc2a930203ac34366383e76ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95067389619ea53fe76aed500e7ce80d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c036eb374274491f675ec50552d517a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/20/52002e65-e19b-4318-93cd-cdd556254f22.png?resizew=162)
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2 . 已知不经过坐标原点
的直线
与圆
:
交于A,B两点,若锐角
的面积为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88bee8e70f1fab639be1636c7bce0477.png)
___________ ,
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e147d7563e2c93b0fa922726d561b8f.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/88bee8e70f1fab639be1636c7bce0477.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bead945284ae967c8c526c9a73a26e6.png)
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2021-11-14更新
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7卷引用:湖南省百校联考2021-2022学年高二上学期期中数学试题
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3 . 在
中,角
,
,
所对的边分别为
,
,
.若
,
,
,则
的面积等于__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.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/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7f85678de64dcc06b3efcdb6a127170.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1225fd03e8e8730dac8487dae5387635.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b71812e0762c0aaffb51cfef66156567.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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2卷引用:2021年湖南省高中学业水平考试合格性考试仿真模拟数学试题
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4 . 锐角
中,内角
的对边分别为
,若
,则
的面积的取值范围是________
![](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/06ab947600848e99ba084784e6fedbeb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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9卷引用:湖南省长沙市长郡中学2021届高三下学期考前冲刺卷数学试题
湖南省长沙市长郡中学2021届高三下学期考前冲刺卷数学试题河南省驻马店市新蔡县第一高级中学2020-2021学年高一下学期6月月考数学试题(已下线)2021年高考全国乙卷数学(理)高考真题变式题11-15题陕西省西安中学2022届高三下学期八模理科数学试题江苏省泰州中学2021-2022学年高一下学期第二次月度检测数学试题安徽省合肥市第六中学2021-2022学年高一下学期期末数学试题(已下线)2021年高考全国乙卷数学(理)高考真题变式题11-15题福建省永安市第三中学2022-2023学年高一下学期第一次月考(3月)数学试题(已下线)期末考试仿真模拟试卷04-(苏教版2019必修第二册)
解题方法
5 . 点
在直径为
的半圆上移动,过点
作圆的切线
,且
,
,当四边形
的面积最大时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9251dff989f7d60db751b73033dee269.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced06b71073e1bb777f326f06016ce17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d583183429b6b31aa9742eefc67d3181.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e374c42b5cfb02418126a8d96cbdb7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db8761258f0cab31832682cf768652d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5b20900d8d44227bcccda9a77416d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9251dff989f7d60db751b73033dee269.png)
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2021-01-29更新
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322次组卷
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2卷引用:湖南省郴州市2020-2021学年高一上学期期末数学试题
6 . 在
中,
,
,
,则
的面积![](https://staticzujuan.xkw.com/quesimg/Upload/formula/447a9718a502491b47072ce013c26a2f.png)
_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef123bc341704d44166e75225eec94f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07160f14b3b453bebb64cb2bf96dc85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/447a9718a502491b47072ce013c26a2f.png)
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7 . 已知直线
与圆
相交于A、B两点,O为坐标原点,
且
的面积为
,则实数m=______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54479885d4ab2f717d2e97718da04b43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5f5d967ad135991b6075ee45df55643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfcbd90a525fa66b5d2cb76506056956.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/866b81a8384cce4f24867baca2e6820c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
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2020-12-18更新
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8卷引用:湖南省长沙市长郡中学2020-2021学年高三上学期月考(五)数学试题
湖南省长沙市长郡中学2020-2021学年高三上学期月考(五)数学试题(已下线)专题14 直线与圆的方程(客观题)-2021年高考数学(理)二轮复习热点题型精选精练(已下线)专题13 直线与圆的方程(客观题)-2021年高考数学(文)二轮复习热点题型精选精练(已下线)专题13 直线与圆的方程(客观题)-2021年高考数学二轮复习热点题型精选精练(新高考地区专用)广东省清远市第一中学2021届高三下学期开学考试数学试题天津市北辰区第四十七中学2021-2022学年高三上学期期中数学试题天津市第三中学2021-2022学年高三上学期12月阶段性测试数学试题湖北省黄冈市部分普通高中2020-2021学年高三上学期12月联考数学试题
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8 . 在△ABC中,内角A,B,C所对的边分别为a,b,c,且a=
,b=2,A=
,则△ABC的面积为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/619096595112f0340a43b756e114dd3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d88591679796c52024d11c4de641bdb.png)
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2020-11-19更新
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