高中文科數(shù)學(xué)基本知識點(diǎn)總結(jié)

（A，，。{x,xy,lg(xy)}，|x|,}；A（，（、、。（，，。注意：區(qū)分集合中元素的形式：如：2；B{y|yx22x；A{x|yx2xCx,y)|yx22x；；22E{(x,y)|yx；2xxZ,yZ}2D{x|xxxyF{(x,y')|yx22x；G{z|yx2xz}2x（、和}0AABA{x|ax2x1ARa2（）符號“,；,面。（）AB{____________________}AB{_______________________}；；CA{____________________}U（,B①A②ABBAABBAABAB；；；BAABA；；CABU；CAB；UU③CAUCB；C(AB)；UU（nnnn；n被3n被3nnn被3n（1AnAB(AB)；。（）A；A若{x|x，}B{x|x}，p是qAB；p是qA_____B；p是qAB；若若p是q___________；若pq；pqsin是（（ABa,b,}，A到BB到AA到BAA到B(x)xay，，。)（：（f(x)①y③yyf(x)(nN)；②則2n；*g(x)[f(x)]ylog；g(x)；0f(x)yf(x)的定義域是(x)f(xa)f(xa)SrSf(r)。（f(x)axbxc,x(m,n)2kyx(k0)xabx(abab,x[2yabxx2x3x2x3②y,x(2y,x(（2xx1與－－x則Tx則.（x則.1x則.f(x)得a－;－;f(x);f(x)ωωφ＝y(tǒng)f(x)（）yf(x)）yf(x)）yfx|)；y（）y|f(x)|）yf(2x)）yf(x；（）yf(x)1）yf(x)；Ox（yaxb(a0)a0a0（yax2bxc(a0)；ya(xx)(xx)x；12ya(xk)h；2當(dāng)a0a0yaxkh()2a0a0a0a0yxxx[2yf(x)xxx[a,a2axbxc0x,x212xxk12122或(,k)[m,n]f(x)0(,n)xnxm和ac（y(xyaxxb（ya(a0,ax；；。xa（ylogx(a0,aa；；；；；；logx)a（）ya與ylogx；xa（10（f(x)log(xkx2)R2k12f(x)log(xkx2)kR212kyx(kx；；是k(kyx；x①f(xx)f(x)f(x)f(x)kx(k0)1212②f(xx)f(x)f(x)f(xx)f(x)f(x)；；；12121212x1xx)f(x)f(x)；f()f(x)f(x)③f(x1212122數(shù)（＝f/000＝s//㈠f(x)0與f(x)f(x)0f(x)f(x)x3在(,)f(x)0f(x)0是f(x)㈡f(x)0f(x)0與f(x)f(x)0f(x)0f(x)f(x)0f(x)0f(x)0是f(x)㈢f(x)0與f(x)f(x)f(x)0f(x)0f(x)0或f(x)0f(x)0f(x)f(x)0是f(x)（yf(x)（yf(x）yf(x)f(x)0f(x)0yf(x)、、f0/00f＝0/00（（（n11abab若a,b0abab2ab)2ab；(；2ab2ab2a,bRab2，()22222當(dāng)p；當(dāng)abS；91(x)2y4x。24x11x,yx2y1xy。（a,bRa0,(ab)022（）|aa|aa；1111；abab（）ab,ab0（AB0AB（b(aa0a0a0；；b(a0)a0（（a0|xa；|xa；|x|：；|xm|：；②③（f(x)0g(x)f(x)0g(x)⑴⑶；；f(x)0g(x)f(x)0g(x)（（..x,xxxxxxx、、12121212（nSnS(n1a若aSaSS,aSS.SS(nnN).n1n11121nnnn1（n.（.n.aqn)S(q及Sna(qS求n11qnn1an.（.、、、、、a：nn、n:、、S(nanSa=1SS(n2)nnnnn1aaaak)當(dāng)n1nk1k≠0anannn(nn(aa)n(nnS=nad==nad1nn2221n當(dāng)≠0SnaSnn1n1a=aqa=aqaakan1nk1knnS1n；naqn)aaq當(dāng)==11n1q1qSSSS-Snmmaaaanmnpqa?aa?anmnpqSSSS-Snmm與bnnnnn與nna1b、、?nnnbnbnnn；)33、cann、（bb}且cnncnanSSan1（2nSSnd奇偶奇偶anSSn12n1SSa，Sa?(2n（奇奇偶n1n2n1n1偶anSSSa2n1q（）2nq偶奇奇1S偶annannann000①a如a=2nn1a9n(n1②如a=n1nnan1nn③a如a=nnn2156a中Snn當(dāng)當(dāng)m.m．AAAAAA．AA1223n1n1n若（x,y）（x,ya（xx,yy11221212=a、=bABCDAC=a+b,=b－a,=a－bababa︱︱ba＋b=b＋aaba+baaa＋－a;a︱a︱︱a;當(dāng)0a與a0a與aa．若a（x,y·a（x,y1111baa．xyxy0．若a（x,y）（x,yab11221221若eea，11221a=e+．21（a與OA=a,OB（0與ba00（a與a·b=︱a·︱．︱b在a（若a（x,y）（x,ya=a·e=︱a1122aba·b=0xxyy0（ab︱a︱=a?axy;22121211a?bxxyy==．1212a?bxyxy22221122a·b=b·aa)·b=(a·b)=a·(ab)·c=a·c+b·c．}00..直接法→體積法（（（（S側(cè)（1S側(cè)34SRV＝R233球球。.....π－222x22xarcosybrsin(a、、)xa,yb,定義（注意與橢圓相類比）標(biāo)準(zhǔn)方程（注意焦點(diǎn)在哪個(gè)軸上）雙曲線的簡單幾何性質(zhì)：(a、b、c、e的幾何意義，漸近線))位置關(guān)系，經(jīng)常抓為方程的解的情況。弦長。運(yùn)用韋達(dá)定理解決（（d(xx)(yy)lk222121或d11yyd1kxx2k22121（.（)kkLAL:AL⊥LAAB11112222121212①②③④x點(diǎn)－－.22200－點(diǎn)2220000－點(diǎn)2220000－點(diǎn)2220000xPx.22220000＝，－，＝－，－圓Cx圓Cx222211112222121212x2y2FF)F00ab