1 Let a,b,c are real numbers and ab+bc+ac=abc Prove: bc/[a^(a+1)]+ac/[b^(b+1)]+ab/[c^(c+1)]>=1/3
2 Find all graphs G with the following properties: (1)G contains at least one Hamilton path, (2)For any Paris of vertices, u and v belongs to G, if there is a Hamilton path from u to v, then the edge uv is in the graph G.
【 在 askingme (口水猪) 的大作中提到: 】 : 儿子的数学竞赛班除了两道题目,一道不等式+一道图论。 : 孩子不会做,老师让和家长讨论,可是我这个数学水平也不会做,真是典型的拖后腿的 : 家长。。。。 : 肯定大家给看看,出出主意,太感谢啦!!! : 1 Let a,b,c are real numbers and ab+bc+ac=abc : Prove: bc/[a^(a+1)]+ac/[b^(b+1)]+ab/[c^(c+1)]>=1/3 : 2 Find all graphs G with the following properties: : (1)G contains at least one Hamilton path, : (2)For any Paris of vertices, u and v belongs to G, if there is a Hamilton: path from u to v, then the edge uv is in the graph G. : ...................
【 在 askingme (口水猪) 的大作中提到: 】 : 儿子的数学竞赛班除了两道题目,一道不等式+一道图论。 : 孩子不会做,老师让和家长讨论,可是我这个数学水平也不会做,真是典型的拖后腿的 : 家长。。。。 : 肯定大家给看看,出出主意,太感谢啦!!! : 1 Let a,b,c are real numbers and ab+bc+ac=abc : Prove: bc/[a^(a+1)]+ac/[b^(b+1)]+ab/[c^(c+1)]>=1/3 : 2 Find all graphs G with the following properties: : (1)G contains at least one Hamilton path, : (2)For any Paris of vertices, u and v belongs to G, if there is a Hamilton: path from u to v, then the edge uv is in the graph G.
儿子的数学竞赛班除了两道题目,一道不等式+一道图论。
孩子不会做,老师让和家长讨论,可是我这个数学水平也不会做,真是典型的拖后腿的家长。。。。
肯定大家给看看,出出主意,太感谢啦!!!
1 Let a,b,c are real numbers and ab+bc+ac=abc
Prove: bc/[a^(a+1)]+ac/[b^(b+1)]+ab/[c^(c+1)]>=1/3
2 Find all graphs G with the following properties:
(1)G contains at least one Hamilton path,
(2)For any Paris of vertices, u and v belongs to G, if there is a Hamilton
path from u to v, then the edge uv is in the graph G.
中●●●共●国的鸡廊器五都有儿子了啊
【 在 askingme (口水猪) 的大作中提到: 】
: 儿子的数学竞赛班除了两道题目,一道不等式+一道图论。
: 孩子不会做,老师让和家长讨论,可是我这个数学水平也不会做,真是典型的拖后腿的
: 家长。。。。
: 肯定大家给看看,出出主意,太感谢啦!!!
: 1 Let a,b,c are real numbers and ab+bc+ac=abc
: Prove: bc/[a^(a+1)]+ac/[b^(b+1)]+ab/[c^(c+1)]>=1/3
: 2 Find all graphs G with the following properties:
: (1)G contains at least one Hamilton path,
: (2)For any Paris of vertices, u and v belongs to G, if there is a Hamilton: path from u to v, then the edge uv is in the graph G.
: ...................
什么意思啊?
【 在 ananpig (别瞅 变态辣椒 漫画的●○安安猪) 的大作中提到: 】
: 中●●●共●国的鸡廊器五都有儿子了啊
家版还管数学题?
我爱家版
第一题是错的。
比如,a=-2, b=2, c=1.
ab+bc+ca = -4 = abc
但是 bc/[a^(a+1)]+ac/[b^(b+1)]+ab/[c^(c+1)] = b*c/(a^(a+1))+a*c/(b^(b+1))+a*b/(c^(c+1)) = -8.25 < 1/3
用R算一下就知道。
反例有了,无论如何也证不出来的
【 在 askingme (口水猪) 的大作中提到: 】
: 儿子的数学竞赛班除了两道题目,一道不等式+一道图论。
: 孩子不会做,老师让和家长讨论,可是我这个数学水平也不会做,真是典型的拖后腿的
: 家长。。。。
: 肯定大家给看看,出出主意,太感谢啦!!!
: 1 Let a,b,c are real numbers and ab+bc+ac=abc
: Prove: bc/[a^(a+1)]+ac/[b^(b+1)]+ab/[c^(c+1)]>=1/3
: 2 Find all graphs G with the following properties:
: (1)G contains at least one Hamilton path,
: (2)For any Paris of vertices, u and v belongs to G, if there is a Hamilton: path from u to v, then the edge uv is in the graph G.