(詳細版)高中數學學業(yè)水平考試知識點

2018年高中數學學業(yè)水平測試知識點ABBABB222nn1n1n2.2,a,...,aa12nf(x)xf1y，()x,y()yf1xy；②開偶次方被開方數.00IDxxx<x（)，1212D12fx)=-fx)x0f(0)0x)=fx)fya(a且ayxyax(a0,a1)當0a1a1aa(a)a(ab)ab(a0,b0,r,sQ)。①arsrsrsrsrrra10a1RRR1;0,0a1x;xxx0a1xax1xxa(1)yaa(1)當xa0a1a1yaa10：log10：loga1，aaa>0,a≠1,M>0,N>MlogMNlogMlogN；②loglogMlogNlogMnlogM(nR)；③。①nNaaaaaaaabb(a且accb0)caaca1110101x；a0xlogx00xlogx0aa1yx2yf(x)a,]f(a)f(b)0，yf(x)a,)c(a,b)f(c)0cf(x)0abc2；正方體の對角線長l3a、長方體の對角線長l22243RR23；Sv1V=Sh(Sh；V=Sh(Sh)31=(S+臺體3+S)h(S,Sh)VS'S:.aA//a。a，aba//a//bab//abPa//b//.a////。aabb//,,//baba,,ababPlalbl,,,lla//。abbm,lml.l,Pl0；H0；0；0yyktan21k，(,)P(x,y),P(x,y)kxx111222：21yk(xx)P(x,y)．yylk11在y111blyyxxP(x,y)P(x,y)xxyy1((1、；((1yyxx1112221222xy1211b、b0)(abC0B:ykxbl:ykxb若l，1①l‖l11222kk且bb;≠121212與l重合時kk且bb②l；12122lkk1③l.1212:AxByC0l:AxByC0若l,且AABB,11111ABC2222122lABCllAABB0①l11112121212222(xx)(yy)PxyPxyPP=12211222122121xxyyPxyPxy（212，）211112222AxByCxy0000A2B2CC2211A2B2a,baybrx222；rDEDE4F22F0）x2y2()()2xy222414F0(DED2E2,)42FD2E222(x,y)(xa)(yb)r2點P2200(ax)by)若d2200dr點P;dr點P;dr點P.C0(xa)(yb)r2:22dr0;dr0;AaBbCdr0d.A2B2yxy11222(xx)(yy)1k1kxx）4xx==xx=2222212112212121121yy)(yy)4yy1=k=22k212k21212a、Z⑴ABxyzYExOADx-x）y-y）z-z）PP=1222X2212121””WEND=頻率小矩形面積頻率組距頻率=頻數=樣本容量頻率頻率小矩形面積組距=1s[(xx)1(xx)(xx)]222n12ns[(xx)(xx)(xx)]2222n12n?????bay=ba，yx。.AA，顯然必然事件の概率是是0。ABABA和BBBA與BB．m事件包含的基本事件個數P()n實驗中基本事件的總數構成的區(qū)域的長度（面積或體積）P()實驗的全部結果構成的區(qū)域的長度（面積或體積）180()5718l||r'（為1lryrxryxxxysincostancotr22y34201010310010233310tan013—33—sincossincos1tancot1tan22、：、：：sin2sin,sinsin,sinsin,cos2cos,coscos,coscos,tan2tan.tantan.tantan.：：：sinsin,22sincos,sincos,coscos,tantan.cossin.sin.22：)sincossinSS：：)sincossin()()：cos(a)coscossinsinacos()coscossinsinCC()()tantan：T()：tan()T)()1tantan11tan1tan=-)=+)absincosxbsincosaxa2bxx2b2aba222ab(sinxcoscossin)xsin2sincos2tanabsin()x2222cos2sin12sin2cos1S：C：22222tanT：1tan211cos21121cos21cos21sincossinsincos2cos22222222sin,ycos,ytan,ycotycos9、在y10yAx)byAx)byAx)byAx)b{x|x,kZ}RR2[R在[2,2]()增kk在[2,2](kk(kZ)減在[2k,2]22k)增在[2,2]()減kZkk22當yx2k,kZ12x無1y1當(2,kZ當,yxkx2k,kZ2，(2，kZ(kZ)xk(Z)xkk2AsinxyysinxyAsin(x)yAsin(x)縱坐標變?yōu)樵瓉淼腁倍ysinxysin(x)(0)(0)橫坐標不變平移ysinx(0)或向(0)ysin(x)1橫坐標變?yōu)樵瓉淼谋秙in（x）y，縱坐標不變1橫坐標變?yōu)樵瓂sixysinxyx)向左(0)或向右(0)縱坐標不變平移|yAsin(x)縱坐標變?yōu)樵瓉淼腁倍橫坐標不變yAsin(x)x[0，)0，，AT1xf0T123．0145aaa．6λμbbλμaλμ)aλμ)aλaμaλ(aλaλ.a·b=b·a;ccc=a·+b·.（ab=（a·b=a·b=ab（abe、eλλ112212a=λe+λe．122e、e1,y,bx,yabxy,yaxx11221212,,xyxyabxxyyλa11111212xx,yyBxyxyAB11222121|ABABAB()()）=dxxyy22A,B2121|a|aaxy2a|a：2；20a00a0，a()0cos，，aababxxyycos1212x,y,bx,yaの夾角xyxy222211221122bab(R)abxyxy0a，1221bxxyy0a1212PPPPP）Pxy）Pxy）PP，1211122212x1yxxxxxy12122yyyy121221123．4015aaa．600aaaa與00a與aa．aa，a，baaabab．0ababの充要條件是存在實數．a，bb，CxyxyC，；a，ba8a和b，ba,ba,b0,．a和ba,baba，b．2cosa,bbabababcosaba和baba，0．babbcosa,b、aa與在a1eaaeaa,e2abab0；、若a，b為非零向量，e為單位向量，則有；ababbab4cosa,b3aa2aaa；ab，a，．ab3abcacbc；1abba2ababab；．ba//babR，ba，ba，ababab0a．，，b//a//bab，a0．ababllaa111absinCacsinBbcsinAS2：22abc2R,邊用角表示：a2Rsin,b2RsinB，c2RsinCsinAsinBsinCa2b2c2bccosAb2a2c2ac2cosBc2a2b2abcosC(a)2)b2c22a2a2c22b2a2b22c2CAB.naS(n1)；naaaaa11SS(n2)n