解题方法
1 . 已知
中,内角A,B,C所对的边分别为a,b,c,
,角
的平分线
交
于点M,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8dd3b6b7e9aadb1189cb2a277a2f68f6.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67feca7148fa9236ff06a655214a0ab0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db54223bb3fc2fe2497213a4d1f94827.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0599f646fb6973b52983c0b8bbdc1d68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8dd3b6b7e9aadb1189cb2a277a2f68f6.png)
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名校
2 . 在
中,角A,B,C所对的边分别为a,b,c.若
,
,
,则角B的大小为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa4c355f11471a38f5583a434a1ddeb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baddffb31adacf907742ca666e32d664.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/488ee39d4c75c4bb1d831d7fb22d22c0.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2022-10-13更新
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2卷引用:江西省丰城中学2023届高三(尖子班、重点班)上学期数学(文)期中复习试题
解题方法
3 . 如图是来自古希腊数学家希波克拉底所研究的几何图形.此图由三个半圆构成,三个半圆的直径分别为直角三角形
的斜边
,直角边
.在
中,
,
,
为边
的中点,
为以
为直径的半圆弧上任意一点.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/15/06a13ef5-4e3b-469a-9167-9bec966a1a1f.png?resizew=250)
(1)若
,求
的值;
(2)若
,求四边形
的面积.
![](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/7dec2ca6438c82b43f746057d8129885.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65a3e478bb87d094e3a0af30dd10ae8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fb01d2b57580731c8b807ac8cffc8ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/15/06a13ef5-4e3b-469a-9167-9bec966a1a1f.png?resizew=250)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19f9cf77cb3ccd10bc4ef1430251b4fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c53d701c2a18e6cba12b2b7eb011b8e.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/547bdd14bcda8d6e0b32aa179fa7d98d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1855873e08d777a57137d564bdc751ae.png)
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4 . 已知
中内角A,B,C所对的边分别为a,b,c,
.
(1)求B;
(2)从下面3个条件中任选1个,求b的最小值.
①
的面积
;②
的周长
;③
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c18f9dfbc46a2fa3d668be3204dab72a.png)
(1)求B;
(2)从下面3个条件中任选1个,求b的最小值.
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bc3b0e97deb6e85d2dc83c1b309b04e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2ef08294d8071409aac82d5dd95592d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7563ae235b2119fa6bb8aae02107625.png)
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5 . 已知
的内角
,
,
所对的边分别是
,
,
,
的外心为O,
,
,则
的最大值为______ .
![](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/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1658c106281206bc05e92d669304a5fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03837b3769eda7f0d3804cc5ad4a6d60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45c93a7bf0682398f09fa36fd212d9f2.png)
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解题方法
6 . 已知
中,内角A,B,C所对的边分别为a,b,c,
,角C的平分线CM交AB于点M,若AM=2BM=2,则CM=( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56d08643786b75c08470acc6e16ce660.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
解题方法
7 . 在
中,角A、B、C的对边分别为a,b,c,且满足
.
(1)求角B的大小;
(2)若
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0fb74a9126586b056a6bb28a727f6b3.png)
(1)求角B的大小;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f314224c74c67e483c21866a5b36885.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36edd882c513de863b0e961f44d9f49e.png)
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2022-10-12更新
|
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4卷引用:江西省百校联盟2023届高三上学期10月联考数学(理)试题
江西省百校联盟2023届高三上学期10月联考数学(理)试题江西省赣州市名校2023届高三上学期期中联合测评数学(理)试题(已下线)专题02 正余弦定理在解三角形中的高级应用与最值问题(精讲精练)-2(已下线)专题12 正余弦定理妙解三角形问题和最值问题(练习)
名校
解题方法
8 . 已知△ABC的三个内角A,B,C的对边分别是a,b,c,
.
(1)若
,求B的大小;
(2)若△ABC不是钝角三角形,且
,求△ABC的面积取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea884844371cad230c0e476ea34f72bf.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c4a9309659f8629ba285e16effbb966.png)
(2)若△ABC不是钝角三角形,且
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09b6eef267e00eed68eabeaa29e0e87f.png)
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7卷引用:江西省赣州市七校2023届高三上学期期中联考数学(文)试题
9 . 如图所示,在
中,点D是边BC的中点,点E是线段AD的中点.过点E的直线与边AB,AC分别交于点P,Q.设
,
,其中![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5ee44c8ad5792736787bb903ca273db.png)
![](https://img.xkw.com/dksih/QBM/2022/10/10/3084552225349632/3085931629084672/STEM/99cbf902e79b456d83a8b162745b5770.png?resizew=199)
(1)试用
与
表示
、
;
(2)求证:
为定值,并求此定值;
(3)设
的面积为
,
的面积为
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93179982551da01266d5f1bc177fb4ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe91df8a5a97bf49ab8004f07f64e908.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5ee44c8ad5792736787bb903ca273db.png)
![](https://img.xkw.com/dksih/QBM/2022/10/10/3084552225349632/3085931629084672/STEM/99cbf902e79b456d83a8b162745b5770.png?resizew=199)
(1)试用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/228f4ddbb8959f904d71259be7c6ab36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1da92a2fc2ce861e82f7192fe4e648f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1fe2d802f2b37e7db198c5a3c1df9a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b680f91c4a693cc9ab2c23f2e9114ce.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/febf7413b35cf2889fdb57a6b519087c.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9763846b1131e1e3e2d741ad95d5bb0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ac8a4086cd8af00e89c57fdfd905114.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd72016a9855cbf0056ff732fe872612.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/235f0a6fb218d28383e6f27f2df1f50f.png)
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|
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3卷引用:江西2023届高三联合测评卷数学(文)试题
解题方法
10 . 已知
的内角A,B,C所对边分别为a,b,c,且
.
(1)求A;
(2)
,求边长a.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ecf32a325a85be5adf9da3e7245cba6.png)
(1)求A;
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0b162d37332ce3913de2c52e1f311fb.png)
您最近一年使用:0次
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3卷引用:江西2023届高三联合测评卷数学(文)试题