Violympic toán 8
Các câu hỏi tương tự
Tim ba so duong thoa man : \(2016\left(x-y\sqrt{2001}\right)=2015\left(y-\sqrt{2001}\right)\) va \(x^2+y^2+z^2\) la so nguyen to
cho a,b,c la ba so doi mot khac nhau thoa man (a+b+c)2=a2+b2+c2
tinh gia tri cua bieu thuc P=a2/(a2+2bc)+b2/(b2+2ac)+c2/(c2+2ab)
trong cac cau sau day, cau nao dung, cau nao sai? Cho vi du minh hoa doi vs cac cau sai:
a) Tong cua 2 so nguyen am la 1 so nguyen am.
b)Tong cua 2 so nguyen duong la 1 so nguyen duong
c)Tich cua 2 so nguyen am la 1 so nguyen am
d)Tong cua 2 so nguyen duong la 1 so nguyen duong
neu 50x^2 +25x -3=(Ax+B)(Cx+D) va D=-1.
khiA,B,C la so nguyen thi P=(C/A-B)D^2017 bang bao nhieu ?
BAI2 : tinh a+b biet x^2009+2x^1009 +ax+b chia het cho x-1
cho a,b la cac so tu nhien khac 0 thoa man a/b=132/143 va BCNN (a,b)=1092.tinh a
cho hinh vuong ABCD. Qua A ve hai duong thang vuong goc voi nhau lan luot cat BC tai P va R, cat Cd tai Q va S.
a, chung minh tam giac AQR va tam giac APS la cac tam giac can
b, QR cat PS tai H; M,N la trung diem cua QR va PS. chung minh tu giac AMHN la hinh chu nhat
c, chung minh P la truc tam
d, chung minh MN la duong trung truc cua AC
e, chung minh bon diem M, B,N,D thang han
tim cac so nguyen a,b thoa : \(a^2+ab+b^2=a^2b^2\)
a+b+c=0 va a^2+b^2+c^2=14.Khi đó giá trị của 1+a^4+b^4+c^4 la
Cho a,b\(\in R\) thoa man \(a^2+b^2=2\left(8+ab\right)\) va \(a< b\) Tinh P=\(a^2\left(a+1\right)-b^2\left(b-1\right)+ab-3ab\left(a-b+1\right)+64\)