Question

[nguyen kim chi]

1      cho 3 so thuc duong thoa man x^2010+y^2010+z^2010=3  tim gia tri lon nhat cua x^2+y^2+z^2

2     cho a;b;c duong c/m    \(\frac{1}{a}+\frac{1}{b}+\frac{1}{c}>hoac=3\left(\frac{1}{a+2b}+\frac{1}{b+2c}+\frac{1}{c+2a}\right)\)

3      tim gia tri nho nhat cua \(\sqrt{a^2+ab+b^2}+\sqrt{b^2+bc+c^2}+\sqrt{c^2+ac+a^2}\) voi a+b+c=1

4      cho a;b;c;d va A;B;C;D la cac so duong thoa man \(\frac{a}{A}=\frac{b}{B}=\frac{c}{C}=\frac{d}{D}\)C/ M   \(\sqrt{aA}+\sqrt{bB}+\sqrt{cC}+\sqrt{dD}=\sqrt{\left(a+b+c+d\right)\left(A+B+C+D\right)}\)

5    tim gia tri lon nhat cua  \(\frac{yz\sqrt{x-1}+xz\sqrt{y-2}+xy\sqrt{z-3}}{xyz}\)

6     phan tich da thuc thanh nhan tu   \(y-5x\sqrt{y}+6x^2\)

7    cho x;y;z>0   xy+yz+xz=1   tinh \(x\sqrt{\frac{\left(1+y^2\right)\left(1+z^2\right)}{1+x^2}}+y\sqrt{\frac{\left(1+x^2\right)\left(1+z^2\right)}{1+y^2}}+z\sqrt{\frac{\left(1+x^2\right)\left(1+y^2\right)}{1+z^2}}\)

8    cho a;b;c >0 c/m   \(\frac{a}{a+b}+\frac{b}{b+c}+\frac{c}{c+a}

Answer 1

[Dinh Nguyen Ha Linh]

pn oi nhieu the nay ai ma giai cho het dc

Answer 2

[Hoàng Nguyên Ngọc Bình]

bài lớp mấy mà nhìn ghê quá zật bạn..................Nhìu quá