1 . 给定任一锐角
及高
,在
上任取一点D,联结
并延长交
于点E,联结
且延长交
于点F,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/826c728050e3378921442ace20269ef6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/826c728050e3378921442ace20269ef6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/991f06bd45aa0641a3501546e56fe331.png)
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2021高二·江苏·专题练习
名校
2 . 公路AM,AN围成的是一块顶角为
的角形耕地,其中
在该块土地中P处有一小型建筑,经测量,它到公路AM,AN的距离分别为3km、
现要过点P修建一条直线型公路BC,将三条公路围成的区域ABC建成一个工业园,如图.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/15/db5daa9a-2f44-4f7a-916d-f7d40c225051.png?resizew=227)
(1)记
,并设
,试确定k的取值范围;
(2)设三角形区域工业园的占地面积为S,试将S表示成k的函数
;
(3)为尽量减少耕地占用,如何确定点B的位置,使得该工业园区的面积最小?并求最小面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d1883d5ee1438cb6237ac30dc981116.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e331a41523e8e7d898ab8ccfcfe8a8cc.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/15/db5daa9a-2f44-4f7a-916d-f7d40c225051.png?resizew=227)
(1)记
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28005f3fbb3bd719206510a063d65d99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff84a022ec2bef47174bfbcb308d8eda.png)
(2)设三角形区域工业园的占地面积为S,试将S表示成k的函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f876f5468aa74b81389ab43f2c672b0.png)
(3)为尽量减少耕地占用,如何确定点B的位置,使得该工业园区的面积最小?并求最小面积.
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