De Thi Tuyen Hsg Lop 9 Thi Xa Tam Diep Ninh Binh
BAI 1 phan tịch da thục thanh nhan tu
a)z3+4z2-7x-10
b)z10+z2+1
BAI 2 Rut gon
z3+z2+I
zB—xz—]
3)chung minh
a)(+zz+z2+1): (z2-x-1)© n+2: 6
b)Neu zả-xt1=0 thi voi moi so tụ nhien n co :
x^(6n+1)+z(6s+1)=x^{(6n-1)+z(6n—1)=1
x^(6n+2)+ zÍ6»+2) =x^(6n-2)+ z(6n—2) =1
co luu y gi ve x^2-x+1=0
c)(x+a)(x+2a)(x+3a)(x+4a)+ a“ la binh phuong cua mot tam thuc bac hai cua x
bai 4 tim nghiem nguyen x^2 - 6xy+13 z2=100
bai 5 cho diem M trong tam giac ABC cac duong thang MA,MB,MC cat AB,AC,AB tai I,H,K
a) Ke cac duong AQ_| BC,MR_L BC.hay lap ti so giua dien tich AABC
va AMBC theo MA va MI
MA MB MC
b)chung minh rang 3 tiso MI ,MH, ME khong dong thoi lon hon 2
cung khong dong thoi nho hon 2
c)tim vi tri cua M de 3 ti so do bang nhau