名校
解题方法
1 . 如图,某小区为美化环境,建设美丽家园,计划在一块半径为R(R为常数)的扇形区域上,建个矩形的花坛CDEF和一个三角形的水池FCG.其中
,O为圆心,
,C,G,F在扇形圆弧上,D,E分别在半径OA,OB上,记OG与CF,DE分别交于M,N,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/29/0eaebb3e-9bea-4dbc-94ec-b046eeb6ba76.png?resizew=189)
(1)求△FCG的面积S关于
的关系式,并写出定义域;
(2)若R=10米,花坛每平方米的造价是300元,试问矩形花坛的最高造价是多少?(取
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2411b47d41908ca6384abc6a16a4a6fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ff5c21185c13eae675906dabd3593c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6105484f39e7217b5a2d253b3020fc2b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/10/29/0eaebb3e-9bea-4dbc-94ec-b046eeb6ba76.png?resizew=189)
(1)求△FCG的面积S关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
(2)若R=10米,花坛每平方米的造价是300元,试问矩形花坛的最高造价是多少?(取
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af11e604b7ef4af890b49a9d267068b3.png)
您最近一年使用:0次
2020-02-13更新
|
871次组卷
|
4卷引用:河北省邢台市2019-2020学年高一上学期期末数学试题
2 . 如图,在四边形
中,
,
,
为四边形
外一点,
于点
,
交
于点
,
,
,
,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/19/73b704a3-be0e-4def-abc7-c1dbb601a601.png?resizew=148)
(1)若
,求
;
(2)若
为
的中点,
,求四边形
的面积的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1134c8e3440abb6cd385af2c169037fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f79863ffcfa63117ca6741b20a48e69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a4a26b9ab8f36629aee288b6a0fc77c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a299d2b999568e80be8005565ba209a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcd3fd00798e7ec50afafe7fa7a4f42e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abb7feba3d55eec06e4f29515695943a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8088a56e4a5012dbf18838458ee0d28b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/19/73b704a3-be0e-4def-abc7-c1dbb601a601.png?resizew=148)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/734a6a1d319648bb969845a9159cdba7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af97f4f1e3c6be52fdfdae42582c960d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
您最近一年使用:0次
名校
解题方法
3 . 为解决城市的拥堵问题,某城市准备对现有的一条穿城公路
进行分流,已知穿城公路
自西向东到达城市中心
后转向
方向,已知
,现准备修建一条城市高架道路
,
在
上设一出入口
,在
上设一出口
,假设高架道路
在
部分为直线段,且要求市中心
与
的距离为
.
![](https://img.xkw.com/dksih/QBM/2020/2/17/2401183906324480/2401767045939200/STEM/09110a905cf44e06b6e268833d5922a5.png?resizew=302)
(1)若
,求两站点
之间的距离;
(2)公路
段上距离市中心![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
处有一古建筑群
,为保护古建筑群,设立一个以
为圆心,
为半径的圆形保护区.因考虑未来道路
的扩建,则如何在古建筑群和市中心
之间设计出入口
,才能使高架道路及其延伸段不经过保护区?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1eb76f88cb973c220cffa1c9c0721a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1eb76f88cb973c220cffa1c9c0721a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55bf0d9510623b443eab082ec60fba85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a65b53c8c23a3133fde0835b404304a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c88d9142df6ba8e43c1a93bd04a1362.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c88d9142df6ba8e43c1a93bd04a1362.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4cfef623a9534b5708df5f95f1760a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88e9f7d1272b7344346b58b660aa260a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c88d9142df6ba8e43c1a93bd04a1362.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/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09ecb9867a677cada4e7a936cf8db9c7.png)
![](https://img.xkw.com/dksih/QBM/2020/2/17/2401183906324480/2401767045939200/STEM/09110a905cf44e06b6e268833d5922a5.png?resizew=302)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29ddcedaf720653534a228a82deb9215.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
(2)公路
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4cfef623a9534b5708df5f95f1760a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f822ab19f3478edf0270023e10d4e27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93a093fc910e039897e5f4a6a7bd82da.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/5963abe8f421bd99a2aaa94831a951e9.png)
您最近一年使用:0次
2020-02-18更新
|
643次组卷
|
3卷引用:河北省保定市定州市2021-2022学年高二上学期期中数学试题