职高数学各章节知识点汇总汇编

第一章集合a,aAN*N或ZQRN21n2nn。Bx|xxBAABx|xxBCAUpq，p是qq是ppq，p是qq是pb24yyyyax2bxc(a0)的图象oxoxxxox22axbxc0b1212122x|xx或xxR(a0)的解集12ax2bxc0x|xxx120a第三章函数；）偶次方根的被开方数00。；0122121ff(x)f(x)；f(x)f(x)f(x)f(x)ykxb(k0)、当bk22两点式：ya(xx)(xx)12y2yax2bxc(a0)yyxx|a||a|2)4abx2abb(,](,]2a2abb[,)[,)2a2abb4b2x当x当4a2a4a当b2第四章指数函数和对数函数a0)a011a1na1mmannnmnnanaaa（ab,n；nmmnmnmnmmmamyxa0a1ayyxxooR））x当x当1NaaN、对数的换底公式：N(aabbN0)baabMlog(MN)logMlogNlog；pNaaaaaaaalogNlgNlogNlnN(e2.71828)eylogx(a0,且aaayyxxooR）x1y0kZ360,22,kZaa222,kZ2ya0222x2y2）yxsina,cosa,tana则rr00000０643223０１００21232１０0０223１3sina22cosasin(a)-sina(kcos(a)a(ktan(ak)tana(ksin(a)aacos(a)aaatan(a)1a2222abca2b2c2bcA，b2a2c2bcB，c2a2211222(,)ＲＲ22Ｒ[2,2],增函数[2,2],[2,2],(,)222[2,2],减函数222当xk当x22k-当x2k当x１１2aaad)n1n1nannn1nn(aa)n(n1d12121a2G2aa)n1n1)annaan1n1nn若则aaanmpqmpqaadnmnmSa1nSS(n2)nnn1xd,a,ad）a①（）a(a)=a+b④a-a-a+a=0a和baba和ba·b即①a·b=ab0a·aa）b)12②a·bbb1122b)212aaa1②a与:ba222112①a+ba）2112②a-ba）211212④a·bbb2112)，212a∥ba=b21aba·b22解析几何xA21B2221在xy在yxan(,B)kkybybkyyyyk(xx)0000,B,CxyYxy11111112222222k11121222211212222k11222AABB0121200002B2CCd1121A2B222222121122122圆222rx2y2DxEyF0(DE4F0)D2E2FR222drxxyyr2x2200002rdd2（2k)[(xx)4xx]l2212（）（）xybxyax轴yAA，AA221FF2（FF21212b22222cb2aa2byxa1FF21212caa=c22222222p222p22p222pp0y22lllAαααllllβγmmαl//,若lm//l则lllβmααl//mllPmOAααlmlβlmα,llllmβmβl'αm'αl//l'//l且相交且相交βlαlPmθαAOn[0]]abc222VSh1底3椎体底433球球1nnm2nnmAmn3Amn(n