[考古] 台聯大97(A2.A3.....)跟上面一樣求最近的點QQ
5.
Find the point on the graph of z=x^2+y^2+10 nearest
the plane x+2y-z=0.
我的想法是假設 z=x^2+y^2+10上一點(rcost,rsint,r^2 +10)
然後距離含數d(r,t)= (rcost+2rsint-r^2-10) / 6^(1/2)
再去作雙變數的極值,但是好像行不通...
請問有更好的方法嗎?
謝謝~
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