题目内容
如图所示,在斜坡的顶部有一铁塔AB,B是CD的中点,CD是水平的,在阳光的照射下,塔影DE留在坡面上.已知铁塔底座宽CD=12米,塔影长DE=18米,小明和小华的身高都是1.6米,同一时刻,小明站在点E处,影子在坡面上,小华站在平地上,影子也在平地上,两人的影长分别为2米和1米,那么塔高AB为 米。![](http://thumb.1010pic.com/pic1/imagenew2/czsx/12/82432.png)
24米解析:
过D点作DF∥AE,交AB于F点,设塔影留在坡面DE部分的塔高AF=
、塔影留在平地BD部分的塔高BF=
,则铁塔的高为
+
.∵
:18m=1.6m:2m,∴
=14.4m; ∵
:6m=1.6m:1 m,∴
=9.6m. ∴AB=14.4+9.6=24(m).∴铁塔的高度为24m.
过D点作DF∥AE,交AB于F点,设塔影留在坡面DE部分的塔高AF=
![](http://thumb.1010pic.com/pic1/imagenew2/czsx/13/82433.png)
![](http://thumb.1010pic.com/pic1/imagenew2/czsx/14/82434.png)
![](http://thumb.1010pic.com/pic1/imagenew2/czsx/13/82433.png)
![](http://thumb.1010pic.com/pic1/imagenew2/czsx/14/82434.png)
![](http://thumb.1010pic.com/pic1/imagenew2/czsx/13/82433.png)
![](http://thumb.1010pic.com/pic1/imagenew2/czsx/13/82433.png)
![](http://thumb.1010pic.com/pic1/imagenew2/czsx/14/82434.png)
![](http://thumb.1010pic.com/pic1/imagenew2/czsx/14/82434.png)
![](http://thumb.1010pic.com/pic1/imagenew2/czsx/1/82441.png)
![](http://thumb2018.1010pic.com/images/loading.gif)
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