Các câu hỏi tương tự
cho cac so duong a,b,c thoa man (a^2+b^2+c^2)^2>2*(a^4+b^4+c^4)
cm rang a,b,c la do dai ba canh cua tam giac.
a) Goi a,b,c la do dai ba canh cua mot tam giac thoa man a3 + b3 + c3 = 3abc. Chung minh do la tam giac deu
b) Cho x y z duong va x+y+z = 1. Chung minh \(\frac{1}{x^2+2yz}+\frac{1}{y^2+2xz}+\frac{1}{z^2+2xy}\ge9\)
Bai 1:cho a,b,c la do dai 3 canh tam giac
CMR a^2016/b+c-a + b^2016/c+a-b + c^2016/a+b-c >= a^2015 +b^2015+c^2015
Bai 2;cho a,b,c la cac so thuc thoa man:0<=a,b,c<=4 va a+b+c=6
tim GTLN P=a^2+b^2+c^2 +ab+bc+ca
cho a ,b,c la do dai 3 canh cua tam giac
cmr: a2+b2+c2+2bc>0
chung minh voi a,b,c la do dai 3 canh cua tam giac
\(a\left(b-c\right)^2+b\left(c-a\right)^2+c\left(a-b\right)^2>a^2+b^2+c^2\)
cho tam giac ABC co do dai cac canh bang a,b,c dien tich tam giac =S CMR 6S<= a^2+b^2+c^2
chung minh rang a,b,c la do dai 3 canh cua mot tam giac thi m=4a2b2-(a2+b2-c2)2 luon duong
cho a,b,c la 3 canh cua tam giac
tm (a+b-2c)^2+(b+c-2a)^2+(c+a-2b)^2=(a-b)^2+(b-c)^2+(c-a)^2. tam giac ay la tam giac gi
Cho bieu thuc ( b2 + c2 - a2 ) 2 - b2c2
a) Phan tich bieu thuc A thanh nhan tu
b) Chung minh rang : neu a,b,c la do dai 3 canh cua mot tam giac thi A<0