题目内容
如图所示,在直三棱柱ABC-A1B1C1中,底面为直角三角形,∠ACB=90°,AC=6,BC=CC1=
,P是BC1上一动点,则CP+PA1的最小值是________.
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/201408240343201843417.jpg)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824034320169344.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/201408240343201843417.jpg)
5![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824034320169344.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/20140824034320169344.png)
将△BCC1沿BC1线折到面A1C1B上,如图.连结A1Q即为CP+PA1的最小值,过点Q作QD⊥A1C1交延长线于D点,△BQC1为等腰直角三角形,所以QD=1,C1D=1,A1D=A1C1+C1D=7.所以A1Q=
.
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/201408240343202154230.jpg)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/201408240343202151141.png)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140824/201408240343202154230.jpg)
![](http://thumb.zyjl.cn/images/loading.gif)
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