名校
1 . 已知点D,P在锐角
所在的平面内,且满足
,
.
(1)若
,求实数
,
的值;
(2)已知
,其中
为
的面积.
①求证:
;
②求
的最小值,并求此时
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e8488ec91652ad560475f6d45c8e20b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b59cbb44ed46540f65fa7efb5e313144.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57766a96c4b7e39bc224fa5917c6be22.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8ec4fc7447298cbd6f51ee9977b005f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
①求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba2aa7ba35117b8963954c65934c8f8c.png)
②求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39344ad1a4a45a1023de6b5bdda76546.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a24a8f5e8fb89381f8add6549170345.png)
您最近一年使用:0次
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2 . 已知在
中,角
,
,
所对应的边分别为
,
,
,
为
所在平面上一点,下列命题中正确的是( )
![](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/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
A.“![]() ![]() |
B.若![]() ![]() ![]() ![]() |
C.若![]() ![]() ![]() |
D.若![]() ![]() ![]() |
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2021-08-18更新
|
290次组卷
|
2卷引用:江苏省苏州市张家港市梁丰高级中学2020-2021学年高一下学期3月份阶段性检测数学试题
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3 . 在这春光明媚的季节里,2021江苏省梁丰高级中学“校长杯”班级足球联赛正如火如荼地举行,在高一年级某场比赛中,两个班级的比赛场地为矩形
(如图),现已知矩形中
米,
米,宽为5米的足球门
在边
的中间放置.
![](https://img.xkw.com/dksih/QBM/2021/4/12/2698055334961152/2787503097356288/STEM/b32f0db2-22cc-4a78-921d-d726a3e72802.png?resizew=277)
(1)比赛中,同学甲在距离
为18米,离
为12米的地点
处获得直接任意球机会,准备直接射门,求其有效射门角度;(求出
的某个三角函数值即可)
(2)同学乙在边线
上带球突破(视作点
在
边上移动),准备起脚向球门
射门,求该同学应在何处(
长为多少米时)射门角度最佳.(即使
最大)
(以上问题不考虑场上其他因素)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96d339637b67652b6e259f024aae661b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d5c3ccd350ed8aad71fed37ea423b90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://img.xkw.com/dksih/QBM/2021/4/12/2698055334961152/2787503097356288/STEM/b32f0db2-22cc-4a78-921d-d726a3e72802.png?resizew=277)
(1)比赛中,同学甲在距离
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c965c9363bde4338985d106288292c1c.png)
(2)同学乙在边线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dea2ae9d515f9ab351ad72306b776ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dea2ae9d515f9ab351ad72306b776ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfa70e7c9ef8b856b494d370b7d76482.png)
(以上问题不考虑场上其他因素)
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4 . 下列说法正确的是( )
A.若![]() ![]() |
B.若![]() ![]() |
C.若![]() ![]() |
D.![]() ![]() ![]() ![]() ![]() |
您最近一年使用:0次
2021-07-31更新
|
252次组卷
|
2卷引用:江苏省镇江市扬中市第二高级中学2020-2021学年高一下学期期中模拟数学试题
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5 . 如图,三个全等的矩形相接,且
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/28/bd65ab7b-67e4-4210-a713-db0c936547ca.png?resizew=165)
(1)若
,求
的值;
(2)已知
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ddf0e31b219b32f6d12b3e69cf170d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/28/bd65ab7b-67e4-4210-a713-db0c936547ca.png?resizew=165)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebc20d351d51723c9b0a07a20ac14114.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9c1f914da4657eca7865982b130b299.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83b7cf45111bc79a8d438f558f138976.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c6ce02259a85ea191541f4a708738f1.png)
您最近一年使用:0次