algebra and trigonometry_3rd_0840068131algebra

《algebra and trigonometry_3rd_0840068131algebra》由会员上传分享，免费在线阅读，更多相关内容在学术论文-天天文库。

1、EXPONENTSANDRADICALSGEOMETRICFORMULASmmnmnxmnxxxxFormulasforareaA,perimeterP,circumferenceC,volumeV:nxmnmnn11x2xxRectangleBoxnxxnxnAl„Vl„hnnn1xy2xyabnyyP2l2„1nnxxmnnmnmxxQxRnnnxyxynhnxx„ynmnnmmnyxxx„llSPECIALPRODUCTSTr

2、ianglePyramid1xy22x22xyy2112AbhVha232221xy2x2xyy332231xy2x3xy3xyy33223h1xy2x3xy3xyyhaFACTORINGFORMULASba22xy1xy21xy2CircleSphere222x2xyy1xy2243ArVr3x22xyy21xy222C2rA4r3322xy1xy21xxyy23322xy1xy21xxyy2rrQUADRATICFORMULAIfax2bxc

3、0,thenCylinderCone2Vr2hV1r2bb4ac3hx2arINEQUALITIESANDABSOLUTEVALUEhhIfabandbc,thenac.rIfab,thenacbc.Ifabandc0,thencacb.Ifabandc0,thencacb.HERON’SFORMULAIfa0,thenB⏐x⏐ameansxaorxa.Areas1sa21sb21sc2ca⏐x⏐ameansaxa.abcwheres

4、⏐x⏐ameansxaorxa.2ACbDISTANCEANDMIDPOINTFORMULASGRAPHSOFFUNCTIONSDistancebetweenP11x1,y12andP21x2,y22:Linearfunctions:f1x2mxbd1x2x1221y2y122yyMidpointofPP:ax1x2.,y1y2.12bb22bLINESxxy2y1Ï=bÏ=mx+bSlopeoflinethroughmx2x1P11x1,y12andP21x2,y22nPowerfuncti

5、ons:f1x2xPoint-slopeequationoflineyy1m1xx12yythroughP11x1,y12withslopemSlope-interceptequationofymxblinewithslopemandy-interceptbxTwo-interceptequationoflinexy1xwithx-interceptaandy-interceptbabÏ=≈Ï=x£nLOGARITHMSRootfunctions:f1x2xyyyylogaxmeansaxxlogaxlogaaxaxlog

6、a10logaa1xxlogxlog10xlnxlogexxlogaxylogaxlogaylogaablogaxlogayÏ=œx∑Ï=£œx∑yblogaxReciprocalfunctions:f1x21/xnlogaxblogaxlogbxlogabyyEXPONENTIALANDLOGARITHMICFUNCTIONSyyxxy=a˛y=a˛a>1010

7、1x01x01xxÏ=

8、x

9、Ï=“x‘COMPLEXNUMBERSCONICSECTIONSyForthecomplexnumberzabiCirclesrtheconjugateiszabi1xh221yk22r222C(h,k)themodulusis⏐z⏐abtheargumentis,wheretanb/a0xImParabolasbia+bi22x4pyy4px

10、z

11、yy¨p>0p<0p>00aRepxpxPolarformofacomplexnumberp<0Forzabi,thepolarformisFoc

12、us10,p2,directrixy