盐城市时杨中学高二数学练习-导数与复数

1、word某某市时杨中学高二数学练习导数与复数abb3 3a）lnx (0 x x 1i Z 4i2( ) Z 。i f x lnx(x x 2i 1i 21i 2iz b 2a2a 44aa ia 4ai a422和 b 1b 2,z OA,OBZ Z Z Z OA与OB的z512121242)i (i | 2|z wwzww2.z 1z 143i12i5b 0z a biw 2i)43i, w2iR， z|i3i.a 、 z 。1且，b2i 3i3i.zz z z zz 10，x sinx f x f x , f x f x f x f x nN f,01021n1n x f 6 0.x2x

2、wabi (a、bR) abi43i2aib， f x 设 x在R Xaa 03 4b,aa2i w 得 ，32a,b1b1 f x = x f 1 f x x bx (xR)g(x) f(x) f(x)32 、c b ax bx cx f x在, 则 。032g(x) e sinx ( ,)( , ( ,) y在x44 f x x ，32 3(x) x 12x8已知函数 f在区间上的最大值与最小值分别为， m ，则3M 3 2 c。f xx2M m1(x) f (x) f(x) x bx cx(3x bxc)g y和 y x x 322234x1 / 3 ( , ( f x tt h t(b

3、3)x (cb)xcx32 = ( = ( my f x y g x Xmg0得c0b3；f(x)f(x)0）(x) x 6xg(x) 3x 6g32 f(x)ax(x5)(a g(x)(, 2) ( 2,)和 f(x) f(1)6.g(x)( 2, 2)a 2,6ag(x)g(x)在在xx 24 2 ( )2 ( 5)2 210 ( ).，。f xx x x x Rx37(x) 0 24 2（f x x2 32x ( ( ( f x axaf x(x) 2x 10 x 37, h(x)6x 20 x 2x(3x10).设h当x当x32则21x1f(x)(1,)f (x)(a10(0, )h(

4、x)0,h(x)31a0 f ( )0,x f x( ) (1,)在 （10( ,)h(x)0,h(x)130 f ( )0, .x（ax101ah(3)10,h( ) 0,h(4) 50,32710 10(x)、 f随x (x)fh(x)0(3, ),( ,4) (4,)1( )a1133( ,)xaa37(x) 0 xmm m( , f (x)f0+f(x)(x) ax lnxbx c f44 在 x=1 3 11（( )( )0,( ) ( )当x当x fxf x在.（aa11(x) 2c c X( ,)x( )0,( ) ( ,)f x（ f在.2 faaf(1)3c 3cb3b c 当在1a0 ( ) (1,)f x .f(x) ( 2 8 ( ) f x x + x = 2 / 31( )4 ln f x ax x axbx334x x (4alnxab)3(1)0b0a12fa( )0f x( ) 48 ln0 x1（ f xxx（x令3( )0f x( )f x当0 x1( )0( )f x当x1 f xf(x)(1)f(x)