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
cho a,b,c la do dai 3 canh cua mot tam giac thoa man dieu kien \(\sqrt{a+b-c}+\sqrt{b+c-a}+\sqrt{c+a-b}=\sqrt{a}+\sqrt{b}+\sqrt{c}\)
chung minh a,b,c la 3 canh cua mot tam giac deu
Cho a,b,c la cac so thuc duong:Tim GTLN cua bieu thuc P= (a^2b+b^2c+c^2a);(a^2+b^2+c^2)- 1:3(a^2+b^2+c^2)
Cho a,b,c la do dai 3 canh cua mot tam giac co chu vi la 2. Chung minh \(a^2+b^2+c^2+2abc<2\)
cho a,b,c la cac so thuc duong thoa man 21ab+2bc+8ac <= 12
khi do gia ti nho nhat cua A=1/a+2/b +3/c
1. cho tam giac ABC M;N lan luot la trung diem cua CA ,CB ;I la diem bat ki tren MN (I khac M;N ) C/M trong 3 tam giac ICB;ICA;IAB; co 1 tam giac ma dien tich cua no bang tong cac dien tich cua 2 tam giac con lai
2. cho tam giac ABC tren cac canh AB;AC;CA keo dai ve phia B;C;A lay B1;C1;A1 sao cho BB1=b;CC1=c; AA1=a c/m a/AC+b/ AB+c/BC>HOAC =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
\(P=\frac{2+a}{\sqrt{2-a}}+\frac{2+b}{\sqrt{2-b}}\)
cho a,b,c la cac so thuc duong thoa man a+b+c=3. tim gia tri nho nhat cua
P=\(\frac{a}{a^3+b^2+c}+\frac{b}{b^3+c^2+a}+\frac{c}{c^3+a^2+b}\)
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