设
的内角
,
,
的对边分别为
,
,
,
,且
为钝角.
(1)证明:
;
(2)求
的取值范围.
![](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/6c91bba3192283b38f1fde918fb03c72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85575404e6f7295f6aa2906b6a077475.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93a5801e8be81aae66c47cc058fe370c.png)
2022高一·全国·专题练习 查看更多[4]
(已下线)专题13 三角形中的最值(范围)问题-【重难点突破】2021-2022学年高一数学常考题专练(人教A版2019必修第二册)湖北省武汉市华中师范大学第一附属中学2021-2022学年高一下学期期中模拟检测数学试题(已下线)期中测试·B卷-【重难点突破】2021-2022学年高一数学常考题专练(人教A版2019必修第二册)(已下线)专题12 盘点解三角形中最值问题的四种方法-1
更新时间:2022-04-11 19:55:21
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解答题-证明题
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【推荐1】如图,在平面直角坐标系
中,设角
,
的终边分别与单位圆交于
,
两点,且原点
为单位圆的圆心.设角
的终边绕点
逆时针旋转
后与单位圆交于点
.
![](https://img.xkw.com/dksih/QBM/2022/5/6/2973577752215552/2981466562699264/STEM/d2216906-f1b0-45df-9a32-e05ae1073eda.png?resizew=240)
(1)求点
的坐标;
(2)记
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2708fa6298e52f617383efc175b71ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b9cb8e6ff801523b0304576cd69fd2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c02b54dc6b3e1bb6544f47d4c8743fcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/797e67927616b141ed7c6b83f8b6f4fb.png)
![](https://img.xkw.com/dksih/QBM/2022/5/6/2973577752215552/2981466562699264/STEM/d2216906-f1b0-45df-9a32-e05ae1073eda.png?resizew=240)
(1)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/797e67927616b141ed7c6b83f8b6f4fb.png)
(2)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f7d37407a6b75077ba1acfdaeb8bc6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3aec56b5fc729eb55aaac77c6f4a099b.png)
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【推荐2】已知函数
(其中
为正常数,
)的最小正周期为
.
(1)求
的值;
(2)在△
中,若
,且
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27eac4ee7b10e54a3f4b96a1dd290470.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86ebba6ed1add0fe647c0226614b9290.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
(2)在△
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98d0b9c0c01b49be6e08a111568f77f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed5687c4679dd9b0719edeafc719cbe8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5509269c540ac83ba34d2e8a31242903.png)
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【推荐1】已知函数
的最小正周期为
.
(1)求
的值及
的单调递增区间;
(2)若关于
方程
,在区间
上有两个实数解,试求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e30e4f265ac556b52ee813367120fc3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d02ce1312346d32b851e5ad52fcd52f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86ebba6ed1add0fe647c0226614b9290.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d479a86a1711709b2d100fe4daf3e7cf.png)
(2)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/695d187f7ef84d142c941f0010bcf3cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c66ff52200beb1d153b92f699997feae.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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【推荐2】已知函数
.
(1)求函数
的最小正周期;
(2)在
中,角
所对的边为
,若
,且
,求
的外接圆半径.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68006ca05c3321526fc58cac4b53ebb8.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)在
![](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/2d3c28e2fc237e76e757b8a82c619802.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3af6bea579e10a8fc423c872caaed8fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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【推荐1】在
中,角
、
、
所对的边分别为
、
、
,且
.
(1)求角
的大小;
(2)若
,延长
至
,使
,且
,连接
,求
的面积.
![](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/b6be5df3124229a16a202431a2a1ce7d.png)
(1)求角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8a7b5adfcac0f46a4cd19da4ebb4a2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/feb67f27bcda7681b19239a199b4c4d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecf7679c8b4b1e442ce4286d4b0e9c32.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ac451db3443cabb204f96c31fd4a02e.png)
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【推荐2】在
中,内角A,B,C的对边分别为a,b,c,且
.
(1)求A;
(2)若
,
,
,求b,c.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b045c531b8de91ef9c23124998533832.png)
(1)求A;
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e7d92a15ad50a9f83c1a66611666566.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4b2139fd92090785e08fbdf814c41f8.png)
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【推荐1】已知函数
.
(1)若
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的值;
(2)求
的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be37751de4a1ec6b371de3a7364c8cd3.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99942eb2a40a6e828b4eac3cff594e25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/794f2c6bd63355105d179d11306a9cae.png)
(2)求
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【推荐2】已知函数
,
.
(1)求
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(2)若
在
上有零点,求a的取值范围,并求所有零点之和.
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58119f48aa8860923d1f13dd78a17c62.png)
(1)求
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(2)若
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3aae9c8988f4a48db69cad3308942c9.png)
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