高考数学复习-公式及知识点汇总

1、-一、函数、导数 、 , 则a b x xx x1212f(x ) f(x )0 f(xa,b12f(x ) f(x ) 0 f(xa,b12 y f(x)f(x)0f(x)f(x)0f(x) fx(x) f(x)f(x) f(x)f(x) f(x)x y f(x)x0 y f(x)xy f x ( ) P(x , f (x )f(x )在0000( )( f x x x).y y000 0( ) x (sin ) cos ；x x(cos ) sin；Cx nxn1xn11(a ) a lna( ) x (log ) x(ln ) ；e exxxxxlnaxauuvuv(uv) u v(uv

2、) uvuv( ) (v. . .vv2 f xf x 00 y f x 0 f x 0 xxf x 0f x f x 00 f x 0f x 000二、三角函数、三角变换、解三角形、平面向量sincos 1 tan.， =22 k k 2)sin cos;)cos sin;z.-).1 sinsincos.cos2 cos sin 2cos 112sin .22222tantan .1tan 21cos222cos 1cos2,cos ;221cos22sin 1cos2,sin ;222x)y x) y ，*R ，*R(A, A0，0)的周期T yx) x ,kZ T .，2 y x)ba

3、y asinxbcosx ab sin(x )tan 22abc2R.sin A sinB sinCa b c bcA;222b c a caB222c a b 2abC.222111S absinC bcsin A casinB.222ABC C AB) (a与bA(x ,y )(x ,y ) ( , ) x x y y .11222121a=(x ,y ) b (x ,y )ab=x x y y ., =11221212(x,y)a= a x y22设a=(x ,y ) b (x ,y )b 0, =1122a/b b a x y x y 0.122 1a b(a ab 0 x x y y

4、 0.1212z.-三、数列n,n1s ( as a an a a 1s s ,n2nnn12nnn1a a (nd dna d(nN )；*n11nn(a a )n(n1)1ds nna d n (a d)n.1n2222211aa aq q (nN )；nn11n*1qn (1 ) a a qaqn,q 1,q 1n11s 1q或 1q.s nnna ,q 1,q 1na11四、不等式x yx,y y xy x2 y2 p； pxx y1 ysx x yxys2.4五、解析几何 y y k(xx )P(x ,y ) )kl11111 y b 在yly yxx( y y P(x ,y )、P

5、 (x ,y ) (x x 11y y x x12111222122x y1211 、 0)(a ba ba bC 0l : y k xb l : y k xb，111222 |l l k k b b,;121211.2l l k k 121 2d (x x )(y y )A( , ) B( , )x yx y(，22A,B21211122z.-| C|d ( , )P x y 0 C ：00lA B2002 ( ) ( ) .x a 2 y b2r2 Dx Ey F 0D E F 4(x2y222cosxar.brsiny C ( ) ( ) 0 x a 2y b 2r2d r 0d r 0

6、;d r 0AaBbC2 r d. 22 d.A2B2xacosxyc22 a b 1a.，ea2c2b2bsina2b2yx22y22c1b 1ayc2a2b2exabapp2px y x( 222x22y22x2y21b 0.y xaba2 b2ax yxa22y22b 0 xa b.y bax22y22x2y21 0* 0 aba2b2y在 2px y 2p y 2px(p 0)| PF x220pp x x p.AB xx221212六、立体几何 z.-rl2 r2 rl r21V ShS h31V ShS h34 R2RV R3S3七、概率统计 x x1x() ( ) x x() x x1 xs222x x 212nnn2n1) ()2() 2s x x1 x x x x2n2n nnx x y yx y nx yiiii i1i1yabxb. 2x xnn