名校
解题方法
1 . 在
中,角
所对的边分别为
,给出以下4个命题:
①若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/646e1b56b121f7303b92d739d108f796.png)
②若
,则
一定为直角三角形
③若
,则
外接圆半径为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9814997639dfa99980935d82516a9c67.png)
④若
是锐角三角形且
,则
的取值范围为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc77c37235cb8bdbfecc019d0d8fe245.png)
则其中真命题的个数为( )
![](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)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432d77fe5ad3032d59a237dd94c8a638.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/646e1b56b121f7303b92d739d108f796.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/644b3f591017ea78649961ffa4fa461e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6cf7c342ca03223c26581d35f049a13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9814997639dfa99980935d82516a9c67.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/765ff3b58624701511f4120b2f48cfca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74166243f65dd3c74a90f4e98ab861dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc77c37235cb8bdbfecc019d0d8fe245.png)
则其中真命题的个数为( )
A.1 | B.2 | C.3 | D.4 |
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2024-04-29更新
|
810次组卷
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2卷引用:四川省成都市金牛区成都外国语学校2023-2024学年高三下学期高考模拟(一)理科数学试题
名校
解题方法
2 .
的内角A,B,C的对边分别为a,b,c,已知
,则
的最大值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3459b04466e706ab66beb40a9fe2d802.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e9e460c144f7a2141d2df0308b125f2.png)
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2024-03-14更新
|
989次组卷
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3卷引用:四川省泸州市2024届高三第二次教学质量诊断性考试数学(理科)试题
解题方法
3 .
的内角A,B,C的对边分别为a,b,c,已知
,则
的最大值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3466b09fbe3dd4a4d0f4c33cc96dad0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9a9ffb7dd5b4dd7e32dfc501b82a0e7.png)
您最近一年使用:0次
名校
解题方法
4 . 在锐角中,角
,
,
的对边分别为
,
,
,记
的面积为
,若
,则
取值范围是( )
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-11-24更新
|
1801次组卷
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7卷引用:2024届高三新改革数学模拟预测训练二(九省联考题型)
2024届高三新改革数学模拟预测训练二(九省联考题型)宁夏石嘴山市平罗中学2023-2024学年高三上学期第三次月考理科数学(A)卷(已下线)第四章 三角函数与解三角形 专题10 解三角形中的范围问题 高中数学优质试题一题多解和变式训练(已下线)专题6.12 平面向量及其应用全章综合测试卷(提高篇)-举一反三系列专题02 解三角形(1)-【常考压轴题】(已下线)第11题 定高倍角三角形面积取值问题(压轴小题)湖北省襄阳市第五中学2023-2024学年高一下学期5月月考数学试题
5 . 在
中,
为
边上一点,且
平分
.
(1)若
,求
与
;
(2)若
,设
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51ffd3aeeab96d27a868b3ecda8344f5.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)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f8eeeea1c9652cacce976f8129cf520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a58a622e2b1a239f2f96aa1501e9799.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6eb689a793465929f004e561242fa993.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc24d605ad707ad0e76059d8a31f50d3.png)
您最近一年使用:0次
2023-09-14更新
|
2312次组卷
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3卷引用:河北省唐山市2023-2024学年度高三上学期摸底演练数学试题
6 . 在锐角
中,角A,B,C的对边分别为a,b,c,
,
,且
,则实数
的取值范围为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9df1ca3bae2a35103fea9b075136d085.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2905b41405398718abd03d8894cf81a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adedd1ed63bf4ab4d55082538830bb9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
解题方法
7 . 在①
;②
;③
(其中
为
的面积)三个条件中任选一个补充在下面问题中,并作答.
在
中,角
,
,
边分别为
,
,
,且________.
(1)求角
的大小;
(2)若
为锐角三角形且
,求
的取值范围.
注:如果选择多个条件分别解答,则按第一个解答计分.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac31cf4766d4c2621e08cd8bc2cb1028.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37a31c67a17e593e1c453749d92787dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/278890a49a466cfdba36a3bd6c9ae1d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
在
![](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)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e245411397acbba561c9733b3ec9c55f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/980ab4deb9e7f2bc9288787f5243a4d2.png)
注:如果选择多个条件分别解答,则按第一个解答计分.
您最近一年使用:0次
2023-06-06更新
|
1190次组卷
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2卷引用:河南省开封市天成学校2023届高三文科数学试题
8 . 已知
的三边长分别为
,若
,则
的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5ba9aa7d164d393e22e8aa9eeed5a92.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fbae6ae2bcd030fe3a0dcb72bb7d281.png)
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2023-05-16更新
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559次组卷
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3卷引用:贵州省贵阳市2023届高三3+3+3高考备考诊断性联考(三)数学(文)试题
名校
解题方法
9 . 已知
的内角A,B,C所对边的长分别为a,b,c,已知
的面积S满足
,则角A的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/852857828ab282afb776e72e7b4bccb6.png)
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2023-04-18更新
|
775次组卷
|
4卷引用:江西省赣州市2023届高三模考押题卷(二)数学试题
江西省赣州市2023届高三模考押题卷(二)数学试题四川省阆中中学校2022-2023学年高三下学期4月月考数学(文)试题重庆市南岸南坪中学校2022-2023学年高一下学期期中数学试题(已下线)第四章 三角函数与解三角形 第六节 第二课时 正弦定理与余弦定理(二)(A素养养成卷)
解题方法
10 . 设锐角三角形
的内角
,
,
所对的边分别为
,
,
,且
,则
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.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/31a7379e220f521537e9029027fc0fe3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/351aea4fb3b919785ca1ce81ab9ad130.png)
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2023-04-07更新
|
1753次组卷
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3卷引用:湘豫名校联考2023届高三4月二模理科数学试题