题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103002021-44461.png)
小题1:(1)求梯形ABCD的面积;
小题2:(2)当P点离开D点几秒后,PQ//AB;
小题3:(3)当P、Q、C三点构成直角三角形时,求点P从点D运动的时间?
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103002021-53049.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103002021-81980.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103002022-75495.png)
小题1:(1)如图1,分别过点
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103002022-17274.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103002022-23954.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103002022-45348.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103002023-50233.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103002023-53027.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103002023-34091.png)
∵
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103002023-89273.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103002024-82223.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103002024-58499.png)
小题2:(2)如图2,当
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103002024-85690.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103002022-23954.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103002024-48356.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103002025-56330.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103002023-50233.png)
显然,
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103002025-89354.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103002025-22630.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103002026-52922.png)
设当P点离开D点
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103002026-64010.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103002026-25660.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103002026-90187.png)
即当P点离开D点
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103002027-80142.png)
小题3:(3)分两种情形讨论:
第一种情形:如图3,设当P点离开D点
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103002027-35821.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103002027-33424.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103002022-23954.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103002027-91744.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103002025-56330.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103002023-50233.png)
则
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103002028-58669.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103002028-83725.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103002028-46145.png)
解得:
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103002028-85151.png)
第二种情形:如图4,当
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103002028-15656.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103002029-80607.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103002022-23954.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103002027-91744.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103002025-56330.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103002023-50233.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103002025-22630.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103002029-38201.png)
解得:
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103002029-87636.png)
综上所述,当点
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103002030-56102.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103002022-23954.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103002030-45476.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103002030-11591.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103002030-91451.png)
解析
核心考点
试题【(本小题满分10分)如图,在等腰梯形ABCD中,AD∥BC,AB=DC=5,AD=6,BC=12.动点P从D点出发沿DC以每秒1个单位的速度向终点C运动,动点Q】;主要考察你对相似图形等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103002018-98568.png)
A.6 | B.l2 | C.16 | D.20 |
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103002012-21601.png)
小题1:(1)请在网格中建立平面直角坐标系,使A点坐标为(-4,2),B点坐标为(-2,4).
小题2:(2)在第二象限内格点上找一点C,使C与线段AB组成一个以AB为底的等腰三角形,且腰长是无理数,则C点坐标是_________;△ABC周长是____________.(结果保留根号)
小题3:(3)画出三角形ABC以O为位似中心,相似比为
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103002013-32848.png)
如图,在平行四边形ABCD中,过点A作AE⊥BC,垂足为E,连接DE,F为线段DE上一点,且∠AFE=∠B.
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103002007-45505.jpg)
小题1:(1)求证:△ADF∽△DEC:
小题2:(2)若AB=4,AD=3
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103002008-53489.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103001944-61786.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103001945-32671.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103001945-83863.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103001945-54118.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103001945-43017.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103001946-82082.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103001946-66686.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103001946-15706.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103001945-32671.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103001946-43304.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103001947-35569.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103001945-43017.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103001947-36583.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103001947-50660.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103001947-36583.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103001947-50660.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103001947-79721.jpg)
小题1:(1)求抛物线的解析式;
小题2:(2)等边△
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103001948-27556.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103001948-86111.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103001948-13613.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103001948-18779.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103001948-18779.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103001949-46223.png)
小题3:(3)点
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103001949-18867.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103001949-51132.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103001949-70575.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103001950-95787.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103001950-95787.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103001950-29623.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103001940-69406.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103001940-52142.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103001941-93920.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103001941-82317.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191103/20191103001941-28787.png)
A.1 :3 | B.1 :4 |
C.1 :9 | D.1 :16 |
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