真题
1 . 综合与实践
问题情境:
数学活动课上,王老师出示了一个问题:如图1,在
中,D是
上一点,
.求证
.
独立思考:
(1)请解答王老师提出的问题.
实践探究:
(2)在原有问题条件不变的情况下,王老师增加下面的条件,并提出新问题,请你解答.“如图2,延长
至点E,使
,
与
的延长线相交于点F,点G,H分别在
上,
,
.在图中找出与
相等的线段,并证明.”
问题解决:
(3)数学活动小组河学时上述问题进行特殊化研究之后发现,当
时,若给出
中任意两边长,则图3中所有已经用字母标记的线段长均可求,该小组提出下面的问题,请你解答.“如图3,在(2)的条件下,若
,
,
,求
的长.”
问题情境:
数学活动课上,王老师出示了一个问题:如图1,在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e8b47fc9201d77d43b805efefe693e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38944a9b076083e8804f60e1ac64ecd1.png)
独立思考:
(1)请解答王老师提出的问题.
实践探究:
(2)在原有问题条件不变的情况下,王老师增加下面的条件,并提出新问题,请你解答.“如图2,延长
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9abaeba15f3abdd877bc701af52c5cd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa80cfd38f59e5cbbb30628d03113689.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d218b0fc3b6a8d8bb9d7474a071fafb5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32a2eb54b37ae312ba6c7767e806739f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/566ec313fc702dc1fe594175285b0749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcdae78f4d3b8d8213ac3ac9a9567eb5.png)
问题解决:
(3)数学活动小组河学时上述问题进行特殊化研究之后发现,当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c06154cae3bf7a8ce5a1e97a7380875.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c06154cae3bf7a8ce5a1e97a7380875.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d2c15801fee2405573677484f5dcfa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bb5b12692517a39c320f99a479eb055.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcdae78f4d3b8d8213ac3ac9a9567eb5.png)
您最近一年使用:0次