作者Honor1984 (希望愿望成真)
看板trans_math
标题Re: [考古] 台联大94计算
时间Tue Jul 8 15:23:40 2008
※ 引述《stillboy (joey)》之铭言：
: ※ 引述《JULIKEBEN (JU)》之铭言：
: : let f: R→R be twice differentiable .
: : if f'' is nowhere vanishing , then f has at most two distinct real roots.
: we given f have three roots x1,x2,x3 let x1>x2>x3
: and then we know f(x1)=f(x2)=(x3)
: so according to Roll's T.H.M. know
: have c1 on ( x1,x2) ,c2 on(x2,x3> let f'(x1)=0 ,f'(x2)=0
^^^^^^^^^^^^^^^^^^^
f'(c1)=0 ,f'(c2)=0
: because f'(x1)=f'(x2)=0 and according to Roll's T.H.M
^^^^^^^^^^^^^^^^
f'(c1)=f'(c2)=0
希望没弄错你的意思
: have c3 on <x1,x2> let f''(c3)=0 but f'' is nowhere vanishing
: so f only have two distinct
: : 请问高手
: : 这题该如何解??
: : 谢谢
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◆ From: 140.112.115.226
1F：推 stillboy:不好意思=.=是c1,c2140.117.120.221 07/08 15:32
2F：→ stillboy:电脑打字就是会有这种毛病,囧140.117.120.221 07/08 15:32
3F：推 JULIKEBEN:thanks118.169.101.240 07/09 13:35