高考数学九大核心考点与知识点总结

再...x...x..NZNZ.BABA)BAABAB{x|xeA,且ABAA(ðA)=气UUUUUA(1)(2)(3)(1)(2)(3)2A(ðA)=UUUUðAUBBx=2a1212122ab{x|x士一}OR{x|xxx}122b2(y)4a(y)c(y)01212yy=f(X)f(x)11x2yf(x1)f(x)2x2xxy=f(X)x1yyaxox 00f(x)=M．max0f(x)=m．max0 l-al-aaaaa+Ry=axy0,1)xax1(x>0)ax>1(x0)ax1(x0)x0,1)yaaaaaeMaaaaaaNaan⑤logMn=logM(b0,nR)⑥换底公式：abbaaay=logxaRaaaaaaxaxxyy定xxqqq2b2a4abb当bmin4abbb编12一x一x.Oxx2kx1xx2b一一12yy.2kxbxkx.x121212abybOx2xx2ybkx2xx2.kx..f(k)0f(k)0yxxk222Oxkx2x.f(k)0x.xOkxOk21122一yya>0.f(k1)>0f(k)>0x1x2Okkx2.2121122121yy.f(k1)>0xx2x.f(k)0kk22112122yf(k)>0.2k2Ox1kx2x2f()2102bbbb2a2a2a2a一fOxffOfxfOxxxM=f(q)bf()M=f(p)bf()O<f(fOf>b2a0bfbf()<fOxfb2a0b2a0>fbxp，则M=f()③若2aO2axff(b)xfb2a0b<bff(2a)OxO<ff()<(q)ff()0(p)x0x0OxOxfff S=rl+r2+Rl+R2V=Sh底1V=(S+3上2下S=rl+r213底43CDCαAOOLL=>Lα Aα·LCBββαLPαα=>aαabββα=>aαabββαaaαbβLpαABαan000kyykxx)0y-y1/y-y2=x-x1/x-x2y-y1/y-y2=x-x1/x-x21122221212L1：3x+4y-2=0L1：2x+y+2=01222210021CCl：Ax+By+C=0，则l与l的距离为d=122212A2+B200 00 00 00yyDD22 12121212 121212 12121212222212222RRMQOPxzzP1OM2N1x=((xx)2+(yy)2+(zz)2121212....AABAPAP式 句否是 否(图4)是是否SRRRRSRRRRRRRRR nn-110f(x)=axn+axn-1+.+ax+a=(axn-1+axn-2+.+a)x+a=((axn-2+axn-3+.+a)x+a)x+ann-110nn-110nn-1210=......=(...(ax+a)x+a)x+...+a)x+ann-1n-2101nn-121nv=vx+ann-10aaaann1...10(k)nn110x+x+…+xx=12nn(xx)2+(xx)2+…+(xx)2n22AAAAnnnnllP(A)=P(A)=； rMAx22rrxPT关系：1O1OQOT2爪1min21min22maxmin2maxmin22112质R爪2R2l2J定义域值域周期性奇当时图象最值爪CBbAbCABBC-=-=ACBbAbCABBC-=-=Akk"]("")2对称性单调性偶性0a-babab1212121222212121122121222122212112212212 1211221211(()==ab2.==a(x,y)11=a(x,y)11=1121122xx+yyxx+yy11222ab2212-("-a)；4a⑴亭亭221-tan2aααsinα=2tan2;cosα=1-tan22cosα=土1+cosα;sinα=土1-cosα1+tan2α1+tan2α222222Aaaaaa42442tan；1tan2；tan20otan40o3tan20otan40o；1cos；1cos；bcR2RS=bcsinS=bcsinA=absinC=acsinB．编ABC222 nn nnn-112nn_1n_2 nnn123::a=2n:a=2n+:a=2nnn:a=_n2nan.2nnnnn_1aann_1n1n=q(n之2)an_1义n1nmnmnmdn212l1_q1_qmnpqmnpqn2nn3n2nn2nn3n2npp假假真假假真真真真真假真假假假真假真假真真假假212FF2．a2b2a2b2A(_a,0)、A(a,0)A(0,_a)、A(0,a)1212B(0,_b)、B(0,b)B(_b,0)、B(b,0)1212121212aa212FF1212a2b2a2b2A(_a,0)、A(a,0)A(0,_a)、A(0,a)1212121212ce==aay=士xb2a