Cho a,b,c la do dai 3 canh cua mot tam giac co chu vi la 2. Chung minh \(a^2+b^2+c^2+2abc<2\)
thach thuc tat ca hs cua onlmath
Cac ban duoc dung kien thuc tu lop 6 den lop 9
cho a,b,c la do dai 3 canh trong mot tam giac
CMR: 2(a/b+b/c+c/a)>a/c+b/a+c/b+3
chung minh rang tam giac ABC deu khi
\(l_A\sqrt{3}+\frac{a}{2}=b+c\)voi lA la do dai duong phan giac goc A
cho a,b,c la ba so thuc duong thoa man dieu kien a+b+c=1
chung minh rang P=\(\sqrt{\frac{ab}{c+ab}}+\sqrt{\frac{bc}{a+bc}}+\sqrt{\frac{ca}{b+ca}}\le\frac{3}{2}\)
thach thuc tat ca hs cua onlmath
Cac ban duoc dung kien thuc tu lop 6 den lop 9
cho a,b,c la do dai 3 canh trong mot tam giac
CMR: 2(a/b+b/c+c/a)>a/c+b/a+c/b+3
1. Cho a,b,c,d la cac so nguyen thoa man \(a^2=b^2+c^2+d^2\)
chung minh rang a.b.c.d + 2015 viet duoc duoi dang hieu cua 2 so chinh phuong.
2. Cho a,b la cac so duong thoa man dieu kien a+b=1. tim gia tri nho nhat cua bieu thuc
\(P=\frac{2+a}{\sqrt{2-a}}+\frac{2+b}{\sqrt{2-b}}\)
giai ho minh bai nay voi
cho a,b,c la do dai 3 canh tam giac va an;bn;cn cung la do dai 3 canh tam giac voi n la so nguyen duong. Chung minh rang 2 trong 3 so a,b,c bang nhau
Cho a,b,c>0 thoa man a+b+c=3. Tìm GTLN cua \(a\sqrt{b}+b\sqrt{c}+c\sqrt{a}-\sqrt{abc}\)
1.Tim a de \(N=\frac{6}{M}\in Z\)biet \(M=\frac{a+2\sqrt{a}+1}{\sqrt{a}}\)
2.tim nghiem nguyen to cua pt:\(x^2-2y^3=1\)
3.Cho a, b,c la 3 canh cua tam giac.CM:\(a^2\left(b+c\right)+b^2\left(c+a\right)+c^2\left(a+b\right)\subseteq a^3+b^3+c^3\)
4.ve do thi ham so \(y=\sqrt{x^2-4x+4}-\sqrt{x^2+4x+4}\)dung do thi. tim GTLN,GTNN.