作者grant310657 (Q贤)
看板trans_math
标题[证明]堪根+洛尔
时间Mon Dec 15 18:07:37 2008
怎麽证明x^3-3x^2+a=0在[0,1]至少有一实根
(不论a的值是多少)
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※ 发信站: 批踢踢实业坊(ptt.cc)
◆ From: 124.8.160.85
1F：→ Qmmm:仅在a>0时x^3-3x^2+a=0在[0,1]至少有一实根 219.70.179.171 12/15 18:14
2F：→ grant310657:原题Prove that x^3-3x^2+a=0 has at 124.8.160.85 12/15 18:19
3F：→ grant310657:most one实数解in[0,1]no matter what 124.8.160.85 12/15 18:20
4F：→ grant310657:value a is. 124.8.160.85 12/15 18:20
5F：→ Qmmm:sorry 应由 Rolle's thm. 反证法即可得证 219.70.179.171 12/15 18:24