在锐角△ABC中,角A,B,C的对边分别为a,b,c,且
.
(1)求A;
(2)若
,求bc的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73b9f660908e459df8a81c835dd80dcc.png)
(1)求A;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
更新时间:2023-07-11 19:41:07
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相似题推荐
解答题-问答题
|
适中
(0.65)
名校
解题方法
【推荐1】在①函数
的图像关于直线
对称;
②函数
的图像关于点
对称;
③函数
的图像经过点
;
这三个条件中任选一个,补充在下面问题中并解答.
问题:已知函数
最小正周期为
,
(1)求函数
的解析式;
(2)函数
在
上的最大值和最小值.
注:如果选择多个条件分别解答,按第一个解答计分.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9895bf4192f5c55c16f8270d53c49b13.png)
②函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71a34b37f3a99b7d684f52f07b27eab2.png)
③函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47e45b1183ddff921deeb21dc4b178fb.png)
这三个条件中任选一个,补充在下面问题中并解答.
问题:已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32dd6c4e604d1a0b104eaa3fec3b81fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb935734bfd51c3338f223934a668e29.png)
注:如果选择多个条件分别解答,按第一个解答计分.
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【推荐2】已知函数
,在同一周期内,当
时,
取得最大值3;当
时,
取得最小值
.
(1)求函数
的单调递减区间;
(2)若
,求
的最值,并写出取得最值时
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34972dc4df872620454e8b0227ffafda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8973254e0eeb29a0add0e4677ce5337b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5deda71e149a44da197279bfb2a876bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81fb134b2b48acc99213fff6ccfee65f.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3aa951a727b38bb328957cbe4813e171.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
您最近一年使用:0次
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【推荐3】已知函数
.
(1)求
的最小正周期;
(2)若
,求
的最大值和最小值.
(3)设
为锐角,且
,求
的值;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0884a2eec1ee4300c529447180b81a63.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb48434bdcafb5e084fc0b6396cb9469.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4e288596fa3811dd2c17bded60e82e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d0d9984bfc3f282475da6d90c847871.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8dc4c63a548b91061528aa11058de75.png)
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解答题-证明题
|
适中
(0.65)
【推荐1】如图,在
中,
,
为边
延长线上一点.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/30/d47add01-9be5-441b-9bd1-3573cc7a4d26.png?resizew=147)
(1)求证:
.
(2)若
,
,
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b71753fcde0d1225b707eb8e50d20638.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b1bd1adfe4cc6566218f19970c2fd3b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/30/d47add01-9be5-441b-9bd1-3573cc7a4d26.png?resizew=147)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d89b0b83aaed656110a29f78a495bf93.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0d5a2cd05e4476fc72271e8fdb59a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b515965c22d2950b592c096c6e3bdfd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/039c0d87cc4639086867b9832c6d9ad1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c44ce799d9835933017b9cac05ed6077.png)
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【推荐2】在
中,内角
的对边分别为a,b,c,若
,求
的范围.
![](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/137c7ff4dced1c3202a76ae63920d331.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99ea513ef4c8fc4d8c31eff498740680.png)
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【推荐1】已知
分别为
内角
的对边,若
同时满足下列四个条件中的三个:①
;②
;③
;④
.
(1)满足有解三角形的序号组合有哪些,说明理由?
(2)请在(1)所有组合中任选一组,求对应
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](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/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8120119749d4bc28067e73fca7d46cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03837b3769eda7f0d3804cc5ad4a6d60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc0bdb38a82e078dfa81fa7768fffd29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2491be8a06556289e629db5f4bbbeb2e.png)
(1)满足有解三角形的序号组合有哪些,说明理由?
(2)请在(1)所有组合中任选一组,求对应
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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【推荐2】(1)已知
,求
的值;
(2)已知
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecf15e690c009e03dd700ef11a45285e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a035e688c7cc5382435f05c4c5fa1b9.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1aa1ac647786e030b799530eab9769d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecd7cef79c0d2511e0ddca7ee51eca1e.png)
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【推荐1】在△ABC中,a,b,c分别为内角A,B,C所对的边,且满足sin A+
cos A=2.
(1)求角A的大小;
(2)现给出三个条件:①a=2;②B=
;③c=
b.试从中选出两个可以确定△ABC的条件,写出你的方案并以此为依据求△ABC的面积.(写出一种方案即可)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
(1)求角A的大小;
(2)现给出三个条件:①a=2;②B=
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af9955b5aebb73cd84447e8541f901ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
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【推荐2】在锐角
中,其内角
的对边分别为
,且
,
.
(1)求
的内切圆半径;
(2)求
外接圆面积.
![](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/97404c915890997ecf240c3da4c28144.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4849807ab80cfd4c70b8c2a8291a27bb.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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