如图所示,经过村庄B有两条夹角为
的公路BA和BC,根据规划拟在两条公路之间的区域内建一工厂F,分别在两条公路边上建两个仓库D和E(异于村庄B),设计要求
(单位:千米).
![](https://img.xkw.com/dksih/QBM/2022/3/17/2938335332122624/2939365264760832/STEM/9e1f04a2499b4b728bbc8f864775eace.png?resizew=141)
(1)若
,求
的值(保留根号);
(2)若设
,当
为何值时,工厂产生的噪音对村庄B的居民影响最小(即工厂F与村庄B的距离最远),并求其最远距离.(精确到0.1,取
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d707b346dca9b300e200ed0197429bd.png)
![](https://img.xkw.com/dksih/QBM/2022/3/17/2938335332122624/2939365264760832/STEM/9e1f04a2499b4b728bbc8f864775eace.png?resizew=141)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae0b4de7037d1917b0a964db6438df07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274cf35acb4a1748d15c39d15a9bea7b.png)
(2)若设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b0e401b1494eed08fcaae069f9df132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47bb3f35e3db7c1f3a3dd3eb20151b5f.png)
2022·内蒙古包头·一模 查看更多[3]
更新时间:2022-03-19 06:56:51
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解答题-问答题
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适中
(0.65)
名校
解题方法
【推荐1】在△ABC中,三个角A,B,C所对的边分别是a,b,c,且
.
(1)求A;
(2)若a=
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7922993b5523deb3905d041d60e9c01a.png)
(1)求A;
(2)若a=
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cef812f839622326a7d7027cc806aaeb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52e9eb1dd49bcd647f0dcf891b282504.png)
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【推荐2】在△
中,角
的对边分别为
,已知
.
(1)求
;
(2)设
为
边上一点,且
,若△
的面积为24,求线段
的长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.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/320c1b1450c94d6c491872c0fa6ada5a.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8e5d4f93699f8dcffb0e7840ca5597e.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cb673c01678316348bd4c6f1f5c9df9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
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【推荐1】如图,扇形
的圆心角
,该扇形半径
是弧上一点,过
分别作
,
的平行线,分别交
(或其延长线)于
两点.设
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/8/58222dd5-f74b-40e9-a464-8ef25f94fe84.png?resizew=200)
(1)把平行四边形
的面积
表示成
的函数,并求出其最大值;
(2)设
,当点
变化时,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4819c39c281427826e1b3f7a4c2b720.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/950e673dc286ecdfa54dc7ab146770b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3dfc5e18d61600692f629024b5aef56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5a5e484dfef494d27bc35ae7b8cf75d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91e1e4115d78e625e9e0f47cdade3286.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/394d49b7b16d3871b3795b1b7fa2078d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/5/8/58222dd5-f74b-40e9-a464-8ef25f94fe84.png?resizew=200)
(1)把平行四边形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ce8737bbbe2e8d297a76dcbce42e4a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f00dfb5ae6e0421979b83031d6f38df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b61c74eec759a9247b38bf5f73fb416.png)
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适中
(0.65)
【推荐2】在
中,内角
,
,
所对的边分别为
,
,
,
为边
上一点,若
.
(1)证明:
平分
;
(2)若
为锐角三角形,
,
,
,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/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d521f53d6f6207819bd1bac34941bdf7.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cbce11aa19b8bd2bf6ee5a834e005de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16e0c5cb53fd85b7a23f0580df6bb49a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4494a85de0be0b97a69348115aef8513.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80a6d17b628f3e91f2a6ebae3fc831fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
您最近一年使用:0次
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适中
(0.65)
解题方法
【推荐1】在
中,
,
,且
.
(1)求
的大小;
(2)求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7fb8295e1689f57004c3c22a9936944.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9680bd6f250acb8b568510419b59d3e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c9acc8e0a6a969fa8227b84a088338.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5157b42da58d55daad27d98b2fec15ff.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fc4efc665ec014a01c72a2e942187d7.png)
您最近一年使用:0次
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(0.65)
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【推荐2】在
中,内角
所对的边长分别为a,b,c,已知
.
(1)求角A的大小;
(2)求
的取值范围.
![](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/79f58ee901b9b2fcb8477ef79df5c404.png)
(1)求角A的大小;
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d2968593c2d2749190b1f0a5fba305a.png)
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【推荐3】已知函数
,
.
(1)求
的值及函数
的最小正周期
;
(2)在
中,角
、
、
所对的边分别是
、
、
,若
,
且
,求
的周长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75ea0f3c1e7c61f96225c840ad224ae7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ff361cad435e9b9553683de81c09e56.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb5a39449bfcd1d2448b4d675f717e8b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
(2)在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a0d5cf8c22d0cf93274939d92963665.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65397f11ea8af736f38debadf420c4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5978b3692daed80e12a18b5a68ed2d0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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