如图,点
在直径
的半圆上移动(点
不与
,
重合),过
作圆的切线
,且
,
.过点
作
于点
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/6/ee781576-523e-4aa4-a7f8-8e695e03d4d0.png?resizew=207)
(1)当
为何值时,四边形
的面积最大?
(2)求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ced06b71073e1bb777f326f06016ce17.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d583183429b6b31aa9742eefc67d3181.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e374c42b5cfb02418126a8d96cbdb7d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/482002db587fa5dcc33454ebe5ace500.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2502c14717054d3882980b1768f9053.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/6/ee781576-523e-4aa4-a7f8-8e695e03d4d0.png?resizew=207)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5b20900d8d44227bcccda9a77416d5.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7ed53a398b1d6b7b4abbb43a9abcf1f.png)
更新时间:2019-11-06 19:51:02
|
相似题推荐
解答题-问答题
|
适中
(0.65)
名校
解题方法
【推荐1】在直角
中,
,
,
,
为
边上一点,且
.
(1)若
上一点
满足
,且
,求
的值.
(2)若
为
内一点,且
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68b40d0d2f3cdd8981bb792ad87efb42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fc1ba2766874730daaad7d3bb7a8ee4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/784d093b48df0ba4ae15ea1368fe85e8.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/66165a4813c742ee07a2b4a96887c458.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3834d7ec7531f3c3c0ce9b286f7a49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edf44511eeab5e9a787677575306530f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d34d6c0c44503e613a428712c643f366.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1cf99adccc80f28343fedd8d0aad7429.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e423344e05740056f747911b40184ab4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb7a9bb8ba3d2ec7d9ccb5f6c76abfd2.png)
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适中
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【推荐2】已知函数
一个周期的图象如图所示.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/29/bdea2a0c-2bd5-4029-8e0a-99cd185ba8dc.png?resizew=217)
(1)求函数
的解析式;
(2)若关于
方程
在
上最小值为
,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/703b4493b66a538140dd12bb3b268a7a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/29/bdea2a0c-2bd5-4029-8e0a-99cd185ba8dc.png?resizew=217)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/649278c56e5f95258dd8332c432673d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ce485410257c9c1fae9d87ce3e44cc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81fb134b2b48acc99213fff6ccfee65f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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名校
解题方法
【推荐1】如图所示,已知半径为2,圆心角为
的扇形OAB,四边形CDEF是扇形的内接矩形,E,F两点在圆弧上,OG是
的平分线,G在
上,连接OF,记
,则角
为何值时,矩形CDEF的面积最大?并求最大面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1a63ab608517bb10aa036783dfb51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d7b2fe01a33c4825f9974ed9663a99c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16d65cecaf8a3dc2953f4109c75a981e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/554d5d0e557fe3c4162046d40c90324b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/6/16/367103f8-69e5-4492-8749-9fa2be8b5ec8.png?resizew=212)
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解答题-问答题
|
适中
(0.65)
【推荐2】现有一块半径为
,圆心角为
的扇形
铁皮废料,现在准备利用这块铁皮制作一些图形模型.已知点P在弧
上,设
.
![](https://img.xkw.com/dksih/QBM/2021/6/26/2751508277264384/2759699972161536/STEM/35fff90f4a5448609d9be3ca0f528c4a.png?resizew=429)
图1 图2
(1)方案1:过点P裁剪一个扇形内接矩形
(如图1),点Q在
上,点M,N在
上,
①若
,求矩形
的面积;
②若矩形
是正方形,求
的值;
(2)方案2:从P点处分别向
作两条垂线
和
,垂足为S,T,(如图2)这样可以裁剪出两个直角三角形
和
,为了提高废料的利用率,我们希望这两个直角三角形面积和最大,试问此时点P应在何处?请说明你的理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d42a77bf2a9be342e532da4bf2463af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d88591679796c52024d11c4de641bdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4819c39c281427826e1b3f7a4c2b720.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/259728433d68902065408fb6a34c6d4d.png)
![](https://img.xkw.com/dksih/QBM/2021/6/26/2751508277264384/2759699972161536/STEM/35fff90f4a5448609d9be3ca0f528c4a.png?resizew=429)
图1 图2
(1)方案1:过点P裁剪一个扇形内接矩形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43ac79e422ba4876949f0514c44539b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/734a6a1d319648bb969845a9159cdba7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/389bc3f29c058067e06e0d0d2be399da.png)
②若矩形
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43ac79e422ba4876949f0514c44539b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43660b1543b3a2b46185f7629d28a963.png)
(2)方案2:从P点处分别向
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5a5e484dfef494d27bc35ae7b8cf75d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d4aca03910382accfe738520daf689c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d583183429b6b31aa9742eefc67d3181.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d5a832611462e8ae0c890eece6bfaeb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be3d778ca15706a4c9c327f3eae9f1b5.png)
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