作者s23325522 (披着狼皮的羊)
看板Math
标题[微积] 极值问题两题
时间Wed Jan 12 14:12:53 2011
1.Consider the curve c:x^(2/3)+y^(2/3)=a^(2/3) (0≦x≦a,0≦y≦a) find the
point P on c so that triangle bounded by the two coordinate awes and
the tangent line to c at P has maximal area.
x^2 y^2
2.设椭圆----+----=1的切线与x轴相交於A点,与y轴相交於B点,(a>0,b>0)试求AB线段
a^2 b^2
长之极值?
--
※ 发信站: 批踢踢实业坊(ptt.cc)
◆ From: 118.166.9.57
1F:推 newversion :第1题,用猜的 (a/2,a/2) 01/12 15:54
2F:推 newversion :猜错 01/12 15:58
3F:→ newversion :(√2 a/4 , √2 a/4) 01/12 16:00
4F:→ s23325522 :如果题目要求列式呢=.= 01/12 17:35