chung minh rang dieu kien can va du de m2+mn+n2 chia het cho 9 la m,n chia het cho 3
tim dieu kien cua n de 4n +3 va 2n +3 la 2 so nguyen to cung nhau
cho tam giac ABC ( vuong o A ), duong cao AD. Lay E va F sao cho AB la trung truc cua DE va AC la trung truc cua DF
a) Chung minh rang: E,A,F thang hang
b) Hoi tam giac ABC can co them dieu kien nao de AE vuong goc AD
cho 1 so chinh phuong co 4 chu so. Biet rang chu so tan cung cua no la so nguyen to, tong cac chu so cua no cung la so chinh phuong va can bac 2 cua no co tong cac chu so cung la so chinh phuong
cho x,y,z la cac so nguyen duong va x+y+z la so le, cac so thuc a,b,c thoa man (a-b)/x=(b-c)/y=(a-c)/z. chung minh rang a=b=c
cho x;y;z;t la 4 so khac 0 va thoa man cac dieu kien sau:
y^2=xz, z^2=yt, vay^3+z^3+t^3kac 0chung minh rang:
(y^3+z^3+x^3)/y^3+z^3+t^3=x/t
cho hai số tự nhiên m và n thỏa mãn m+1/n+n+1/m la so nguyen chung minh rang uoc chung lom nhat cua m va n khong lon hon can bac hai cua m+n
cho tam giac ABC vuong tai A, K la trung diem cua BC. Qua K ke duong thang vuong goc voi AK, duong thang nay cat cac duong thang AB va AC lan luot o D va E. Goi I la trung diem cua DE. Chung minh rang AI=BC
mk dg can gap (ai lm dc mk cho 3 tick va nho giai ki nha)
cho tam giac ABC vuong tai A, K la trung diem cua BC. Qua K ke duong thang vuong goc voi AK, duong thang nay cat cac duong thang AB va AC lan luot o D va E. Goi I la trung diem cua DE. Chung minh rang AI=BC
mk dg can gap (ai lm dc mk cho 3 tick va nho giai ki nha)