名校
解题方法
1 . 如图所示是某斜拉式大桥图片,为了解桥的一些结构情况,学校数学兴趣小组将大桥的结构进行了简化,取其部分可抽象成图(1)所示的模型,其中桥塔
与桥面
垂直,通过测量得知
,当
为
中点时,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/1/8eb65219-6da9-485d-9251-edfc6794b1eb.png?resizew=383)
(1)求
的长;
(2)设
,写出
与
的函数关系式;
(3)已知命题:函数
在
内为严格增函数;求证该命题为真命题,并用该命题求解
在线段
的何处时,
达到最大,最大值为多少?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/947a9e717f8bd9e2f5eb3ba8929932a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4a3caf9045a08a8342c73496c4274cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca1d0963bbe4d4d8eda2210585fc1d7d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/4/1/8eb65219-6da9-485d-9251-edfc6794b1eb.png?resizew=383)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8711eddf26d11fc974dfb6da4b640918.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fbd459a6de5d294b1dfb95e596793f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(3)已知命题:函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a869a76555f3369728f9005863bdb8eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4138f6987cd2ee9e56b2ac80e84f9e24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fbf1667b21a273bf5dd007d65eeda7c.png)
您最近一年使用:0次
2023-03-30更新
|
621次组卷
|
3卷引用:上海市奉贤中学2022-2023学年高一下学期期中数学试题
上海市奉贤中学2022-2023学年高一下学期期中数学试题上海市金山中学2022-2023学年高一下学期3月素养检测(一)数学试题(已下线)专题12 寒假成果评价卷 -【寒假自学课】(沪教版2020)
2 . 如图所示,
、
是两个垃圾中转站,
在
的正东方向
千米处,
的南面为居民生活区.为了妥善处理生活垃圾,政府决定在
的北面建一个垃圾发电厂
.垃圾发电厂
的选址拟满足以下两个要求(
、
、
可看成三个点):①垃圾发电厂到两个垃圾中转站的距离与它们每天集中的生活垃圾量成反比,比例系数相同;②垃圾发电厂应尽量远离居民区(这里参考的指标是点
到直线
的距离要尽可能大).现估测得
、
两个中转站每天集中的生活垃圾量分别约为
吨和
吨.设
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/30/ea58d1c4-44a1-48af-be8b-c62e6b7724cd.png?resizew=189)
(1)求
(用
的表达式表示);
(2)垃圾发电厂该如何选址才能同时满足上述要求?
![](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/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c748e40ba21ac5063d3bccaa57ef278.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.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/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.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/b53c7539ed297ea63b9ace6f5cc58ca8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e6f1af4b44b2e97e8f319bab4ae9010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ef294de00af64881af2fffe471582f5.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/30/ea58d1c4-44a1-48af-be8b-c62e6b7724cd.png?resizew=189)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c45085c7cb291380fd6611390e4bf28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)垃圾发电厂该如何选址才能同时满足上述要求?
您最近一年使用:0次
2020-02-03更新
|
332次组卷
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5卷引用:2016届上海市奉贤区高三4月调研测试(二模)(文)数学试题