1、 1 6 1,3,5,7,9,14 2,4,6,8,11,12 10,13,15,16 ( :30 ) 1. y= ( C ) :y= = , x R, A,B, 00, f(x)=ax 2 +bx+c ( D ) : A,C abc0, ab0. D. 12. y=ax 2 +bx+c , A(-3,0), x=-1, : 4 b 2 4ac; 2a-b=1; a-b+c=0; 5a0, b 2 4ac, ; x=-1, - =-1,2a-b=0, ; , x=-1 ,y=a-b+c0, ; x=-1 ,b=2a, , a0, y=k-x x(k-x)+ 2x+k-x-4=0, x 2 -(
2、k+1)x-k+4=0, x , =-(k+1) 2 -4 (4-k) 0, k -3-2 k 2 -3, k0, k 2 -3, x+y 2 -3. :2 -3 14. y=x , -1,1,2,3 A, A +=1(m0,n0) , log2(+)= . : y=x , -1,1,2,3 A(1,1), A +=1(m0,n0) , +=1. log2(+)=log22(+)=log22=1. 5 :1 15. f(x)=ax 2 +2ax+1 -1,2 4, a . :f(x)=a(x+1) 2 +1-a, a=0 , f(x) -1,2 1, , ; a0 , f(x) -1,2 ,
3、f(2)=8a+1=4, a=; a0,a0 f(x) , F(m)+F(n)0. (1) : f(-1)=0, a-b+1=0,a=b-1. x R,f(x) 0,+ ), b 2 -4(b-1)=0,b=2,a=1, f(x)=x 2 +2x+1=(x+1) 2 . F(x)= (2) :g(x)=f(x)-kx =x 2 +2x+1-kx =x 2 +(2-k)x+1, 2 -2 , k 6 k -2 ,g(x) -2,2 . k (- ,-2 6,+ ). (3) : f(x) , f(x)=ax 2 +1,F(x)= m nn, n0,m-n0, m 2 n 2 , a0, 6 F(m)+F(n)=(am 2 +1)-an 2 -1 =a(m 2 -n 2 )0. . 5 1. f(x) , =3, f() ( C ) (A)3 (B)-3 (C) (D)- : . : f(x)=x n , =2 n =3, f()=() n =. 2. f(x)=x 2 +1 a,b(a0,1 2, m . : m , m . : m= +, (1,2) m= + (1,2) , 1+1m2+, m (2,). :(2,)
