解题方法
1 . 在
中,角
,
,
的对边分别为
,
,
,且
.
(1)求
;
(2)若
且
,求
边上高
;
(3)若点
在
上,满足
为
的平分线,
且
,求
的长.
![](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/866489c57088a1d233da0012d838d69c.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b05d3b8f5c9df891ef6fbcaf12f43207.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f08ce80e91fdf435a8e3ec05be990e9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eabd5f3a86afe49dcd70571e2b96cfd.png)
(3)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cbce11aa19b8bd2bf6ee5a834e005de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d70dc2c20619a4fc12a0cfda59af5b69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5156599f6e2ddba26303be4760c29dcd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
您最近一年使用:0次
2 . 如图,在
中,已知
,
是
边上的一点,
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/19/58132690-5f83-42a8-90a3-76551034b02d.png?resizew=147)
(1)求
及
;
(2)求
的长;
(3)求
的外接圆的半径及周长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/958b7b27a401f6b8352ae36e6e26d01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09d27bd71d79cb19eb554175e4ef0867.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8e39bee1445161f91213c83b498b8ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8e2a44d05b1d387150c4b359e021ffc.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/19/58132690-5f83-42a8-90a3-76551034b02d.png?resizew=147)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ba1883c53ebf30a9e53e9b7f3bce4ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8baab87aaa703b3fe340e8fad36d4426.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab2a2834d80ff574e79eae8ca8d4e94f.png)
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解题方法
3 . 在
中,以
,
,
分别为内角
,
,
的对边,且
.
(1)求
;
(2)若
,
,求
的面积;
(3)若
,
,求
边上中线长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.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/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/6af5bec12a2214839b1d267b6465ac0e.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21143d45f8a1eec5a18f3b82c78ac217.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3320a13248a3a1208ff6ee85c9d26f36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa570965ca2882e7a0b8d296f1676c3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65397f11ea8af736f38debadf420c4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
您最近一年使用:0次
2023-04-16更新
|
854次组卷
|
2卷引用:湖北省黄冈市麻城市博达学校2022-2023学年高一下学期期中数学试题
4 . 在
中,若
,
,其面积为
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99f2f1eb2beb23690f56a68dc7da08cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03837b3769eda7f0d3804cc5ad4a6d60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7c13fadefec9d4bad9149b6d5cd3e0e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
5 . 如图,某城市有一条(MO)从正西方通过市中心O后转向东偏北
方向(ON)的公路,为使城市交通更便捷,现准备修建一条绕城高速公路
,两个进出口A,B分别设在MO,ON上,A,B 两点间设服务区P,现已知B在A的东偏北
方向上,A,B两点间的高速公路可近似看成一条直线段.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/18/057666c4-0d6a-4c35-b7de-37f98282127a.png?resizew=151)
(1)当OP最短距离为
km时,求线段AB的最短距离,并求出此时
的值;
(2)若要求服务区P设在∠AOB的平分线与AB的交点位置,且满足![](https://staticzujuan.xkw.com/quesimg/Upload/formula/583554f0fde521bd4d9e9f0c85a32bcb.png)
,
,求B到市中心O的距离最大时tan
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d5bca00fa20e6e80480b9d06d2e52ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c88d9142df6ba8e43c1a93bd04a1362.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/18/057666c4-0d6a-4c35-b7de-37f98282127a.png?resizew=151)
(1)当OP最短距离为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84e4123975f257306440158659634c4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
(2)若要求服务区P设在∠AOB的平分线与AB的交点位置,且满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/583554f0fde521bd4d9e9f0c85a32bcb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8a1c661ae3c97ef812c2cd514e5105e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fa90ab486652985640858da2c1cd9b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
您最近一年使用:0次
解题方法
6 . 在
中,
,D为AB的中点,
.
(1)求
值;
(2)若
,求AC的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d79e7020414add95907e061df505ef0.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6da9ea780ba5e54f3be57b4a7bb12b1.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/369f7438ae4d1bee45e4315e1d642b1f.png)
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7 . 已知向量
,且
.
(1)求
的值;
(2)若
,求角
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/062651547c11069ef2054a9df1dfbea4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7cb5138a03b19266f82223899a614f7.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8af21db22b7a71ce7e52a9ec3c728a4f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dd7c74dea533b13598fc7ecadf1285b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
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解题方法
8 . 在
中,角A,B,C的对边分别为a,
,c,
.
(1)求角A的大小;
(2)当
时,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9e2cbe684b3d9cf6d7ad63db04d5fb5.png)
(1)求角A的大小;
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd2ed49b4be25eac88aa2af01aa84c15.png)
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9 . 在
中,内角
,
,
的对边分别为
,
,
,点
是
中点.
,
.
(1)求
;
(2)再从条件①、条件②中选择一个作为已知条件,求边
.
条件①
的面积为
;条件②
.
![](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/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f4aca5534bce25acaeb7379deed8f8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56989ac686b974427284333d0af32a5e.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)再从条件①、条件②中选择一个作为已知条件,求边
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
条件①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860884c0017c8bceb5b0edff796c144f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5742b2684d00be50a66e01c9acb6b51f.png)
您最近一年使用:0次
2023-04-15更新
|
500次组卷
|
3卷引用:湖北省黄冈市部分高中2022-2023学年高一下学期期中联考数学试题
湖北省黄冈市部分高中2022-2023学年高一下学期期中联考数学试题四川省成都市成都市第十二中学2022-2023学年高一下学期期中数学试题(已下线)专题05 解三角形大题常考题型归类-期期末考点大串讲(人教B版2019必修第四册)
名校
10 . 正方形ABCD的边长为4,E是BC中点,如图,点P是以AB 为直径的半圆上任意点,
,则( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/19/597dab5c-b11f-40df-9afe-e8ee3a6287e4.png?resizew=145)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd749e516a3f5094b0fa8d95015c7704.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/19/597dab5c-b11f-40df-9afe-e8ee3a6287e4.png?resizew=145)
A.![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() ![]() ![]() |
您最近一年使用:0次
2023-04-15更新
|
990次组卷
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3卷引用:湖北省黄冈市部分高中2022-2023学年高一下学期期中联考数学试题