1、 1 8 ( ) 2,3,6,8,12 1,4,14 ( ) 7,9,10,13,15,16 5,11 ( :30 ) 1.(2016 ) f(x)=e x +x-2 ( A ) (A)(0,1) (B)(1,2) (C)(-2,-1) (D)(-1,0) : f (x)=e x +10 R , f(x) R . , f(0)=e 0 +0-2=-10, f(0) f(1)1x20, 2 log4x1= ,lo x2= log4x1-lo x2=log4(x1x2)= - 0, x x , f(x)= -a(x 0) 3 , a ( A ) (A) , (B), (C)(, (D), : y=
2、a y= (x0) 3 , y= = y= ( ), a ,. 8. f(x)=cos x-log8x . : f(x)=0 cos x=log8x, y=cos x,y=log8x, y=cos x,y=log8x , , f(x) 3. :3 3 9. f(x)= y=f(x)+ax 3 , a . : x - : f(x)=|ln x|- =0, |ln x|= , y=|ln x| y= , x1|ln x2|, -ln x1ln x2, ln x1+ln x20, f(2)f(3)0, e ). (1) g(x)=m , m ; (2) t , g(x)-f(x)=0 . :(1)
3、g(x)=x+ 2 =2e, x=e. g(x) 2e,+ ), m 2e, g(x)=m . m 2e,+ ). g(x)=m, x 2 -mx+e 2 =0. , m 2e. m 2e,+ ). (2) g(x)-f(x)=0 , g(x) f(x) , g(x),f(x) . 7 f(x)=-x 2 +2ex+t-1 =-(x-e) 2 +t-1+e 2 . x=e, , t-1+e 2 . t-1+e 2 2e, t-e 2 +2e+1 ,g(x) f(x) , g(x)-f(x)=0 . t (-e 2 +2e+1,+ ). 5 1.(2016 ) a,b 2 a =3,3 b =2
4、, f(x)=a x +x-b ( B ) (A)(-2,-1) (B)(-1,0) (C)(0,1) (D)(1,2) : . : a,b 2 a =3,3 b =2, a=log231,00, f(-1)=log32-1-log32=-1x2x3 (B)x2x1x3 (C)x1x3x2 (D)x3x2x1 : , . : f(x)=5 x +x=0,g(x)=x-lo x=0,h(x)=log2x- =0 5 x =-x,x=lo x,log2x= . y=5 x y=-x,y=x y=lo x,y=log2x y= , -11, x3x2x1. D. 8 3. f(x) R , f(x+2)=f(x). x 0,1 ,f(x)=2x. -2,2 ax+a-f(x)=0 , a . : . : f(x+2)=f(x) 2. ax+a-f(x)=0 f(x)=ax+a, y=f(x),y=ax+a, y=f(x),y=ax+a . , ax+a-f(x)=0 , y=ax+a=a(x+1) 0 akAB, ,A(-1,0),B(1,2), kAB=1, 0 a1, a 0,1). :0,1)