A QUESTION ABOUT MATHS 有一直立标杆,它的上部被风从B处吹折,杆顶C着地,离杆脚2米.修好后有被风吹折,因新断处比前一次低0.5米,故杆顶着地处E比C远一米.求原标杆的高.道理清楚写!
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A QUESTION ABOUT MATHS 有一直立标杆,它的上部被风从B处吹折,杆顶C着地,离杆脚2米.修好后有被风吹折,因新断处比前一次低0.5米,故杆顶着地处E比C远一米.求原标杆的高.道理清楚写!
A QUESTION ABOUT MATHS
有一直立标杆,它的上部被风从B处吹折,杆顶C着地,离杆脚2米.修好后有被风吹折,因新断处比前一次低0.5米,故杆顶着地处E比C远一米.求原标杆的高.
道理清楚写!
A QUESTION ABOUT MATHS 有一直立标杆,它的上部被风从B处吹折,杆顶C着地,离杆脚2米.修好后有被风吹折,因新断处比前一次低0.5米,故杆顶着地处E比C远一米.求原标杆的高.道理清楚写!
设标杆高X米,标杆从杆脚到B处高Y米.
Y^2+2^2=(X-Y)^2……(1)
(Y-0.5)^2+(2+1)^2=(X-Y+0.5)^2……(2)
由(1)得:
X^2-2XY=4
由(2)得:
X^2-2XY+X=9
两相减,得:
X=5
原标杆的高为5米.
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