(完整版)中职数学常用公式及常用结论大全

1.N---*N---Z---Q---R---21pqpq.2qppq.3pqqppq..320(0)axbxca1242bbacxa212bxxa12cxxa41abacbc2ab0cacbc3ab0cacbc510(0)baxbaaxbxa20(0)baxbaaxbxa36120(0)axbxca12xxxxx1x2x1x2x220(0)axbxca12xxxx1x2x1x2x71(0),xaaaa2(0),,xaaaa3(0)axbccaxbcaxbcL4(0)axbcccaxbcL8912yaxbxc22424bacbyaxaa12yaxxxx210(1)1mnnmaa0,,amnN1n.(2)1mnmnaa0,,amnN1n.11(1)(0,,)rsrsaaaarsQ.(2)()(0,,)rsrsaaarsQ.(3)()(0,0,)rrrabababrQ.12:010aa;110aaa13logbaNbaN(0,1,0)aaN.14a0a1M0N0(1)log()loglogaaaMNMN;(2)logloglogaaaMMNN;(3)loglog()naaMnMnR.15log10alog1aa16(01)xyaaalog(01)ayxaa,0,0,,1711nnaad21(1)naand3,,abcb,ac2bac4n1()2nnnaas1(1)2nnnad.1811nnaqa21*11()nnnaaaqqnNq3,,abcb,ac2bac4n11(1),11,1nnaqqsqnaq19,)Pxy22OPrxysin,cos,tanyxyrrx20212222sincos1tan=cossin23sin()sincoscossincos()coscossinsinmtantantan()1tantanm24sin2sincos2222cos2cossin2cos112sin22tantan21tan.25sin()yAxB(A,,A0)(1)2T(2)1sin1xsinAAxAsinABAxBAB(3)22sincossin()yaxbxabx262sinsinsinabcRABC.2712222cosabcbcA2222cosbcacaB2222coscababC.2222cos2bcaAbc222cos2acbBac222cos2abcCab281111222abcSahbhchabchhhabc.2111sinsinsin222SabCbcAcaB.29ABC()ABCCAB222CAB222()CAB301ABBCACuuuruuuruuur()2ABACCBuuuruuuruuur()31(1)(a)=()a;(2)(+)a=a+a;(3)(a+b)=a+b.32(1)ab=ba;(2)ab=ab=ab=ab;(3)a+bc=ac+bc.33ab()ab=|a||b|coscosabab34.(1)a=11(,)xy,b=22(,)xya+b=1212(,)xxyy.(2)a=11(,)xy,b=22(,)xya-b=1212(,)xxyy.(3)A11(,)xyB22(,)xy,2121(,)ABOBOAxxyyuuuruuuruuur.(4)a=(,),xyRa=(,)xy.(5)a=11(,)xy,b=22(,)xyab=1212()xxyy.35121222221122cosxxyyxyxy(a=11(,)xy,b=22(,)xy).36,ABd=||ABABABuuuruuuruuur222121()()xxyy(A11(,)xyB22(,)xy).37a=11(,)xy,b=22(,)xyb0a||bb=a12210xyxy.ab(a0)ab=012120xxyy.38AB11221212(,),(,)22AxyBxyMxyxxyyxy392121tanyykxx111(,)Pxy222(,)Pxy.40111()yykxx(l111(,)Pxyk)2ykxb(bly).30AxByC(AB0).41(1)111:lykxb222:lykxb121212||,llkkbb;12121llkk.(2)1111:0lAxByC,2222:0lAxByC,A1A2B1B2,1111212221221222||0AC-AC=0ABCllABABABC1212120llAABB42.0022||AxByCdAB(00(,)Pxy,l0AxByC).43.1222()()xaybr.a,br2220xyDxEyF(224DEF0).DE,222242DEFr44l0cbyaxC022FEyDxyxr)2,2(EDd1rdlC2rdlC3rdlC45ac4546221212()()ABxxyy=221212(1)4kxxxxA),(),,(2211yxByx0)y,x(Fbkxyy02cbxax0,ABk.4712nNmmmL.4812nNmmmL.49mnP=)1()1(mnnn.(nmN*mn):1!0.50mnC=mnmmPP=mmnnn21)1()1((nN*mNmn).51(1)mnC=mnnC(2)mnC+1mnC=mnC1:10nC.5234()()