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rectangularcoordinatesystem一、optionselectABC图11、asisshowedinthegraph,if(0,0)representspointA,(0,4)representsB,thentheCoordinatesofCis()A、(0,3)B、(2,3)C、(3,2)D、(3,0)3、twopointsonastraightlinethatparalleltox-axis,thentherelationshipbetweenthetwopointsis()A、horizontalcoordinatesisthesameB、verticalcoordinatesisthesameC、theabsoluteofthehorizontalcoordinatesisthesameD、theabsoluteoftheverticalcoordinatesisthesame4、ifA(-3,a)andB(3,-4)aresymmetrypointsabouttheorigin,thenthevalueofais()A、-4B、4C、4or-4D、uncertain5、ifP1(-4,3)andP2(-4,-3),thentherelationshipbetweenP1andP2is()A、symmetryabouttheoriginB、symmetryaboutthey-axisC、symmetryaboutx-axisD、symmetricrelationdoesnotexist.6、knownpointthedistanceofPtox-axisis3,thedistanceofPtothey-axisis2,thenthecoordinatesofPis()A、(3,2)B、(2,3)C、(-3,-2)D、noanswersareright7、knownP(0,a)isonthenegativeofy-axis,thenthepositionofQ()lies()A、theleftofy-axisandabovethex-axisB、leftofy-axisandabovex-axisC、leftofy-axisandbelowx-axisD、rightofy-axisandbelowx-axis8、knowntheareaof△ABCis3,thelengthofBCis2,isBliesattheorigin,andBCliesonthex-axis,thentheverticalcoordinateofAis()A、3B、-3C、6D、±3二、blanks9、inaCartesiancoordinatesystem,thenumberofpoint(s)correspondingto(-1,2)is_____.10、asisshowedin图2,accordingtocoordinatepointlocation,writethefollowingcoordinates:A(),B(),C(),D(),E(),F()1●●●●●●ABCDEFOxy-1图211、knownthecoordinateofAinaplaneis(1,-2)(1)ifA、Baresymmetryaboutx-axis,thenthecoordinateofBis(),(2)ifA、Baresymmetryabouty-axis,thenThecoordinateofBis(),\n(3)ifA、Baresymmetryabouttheorigin,thenthecoordinateofBis()。ABCOy4-212、knownA(4,y),B(x,-3),andAB∥x-axis,IfthelengthofABis5,thenx=_______,y=_______。13、ifpointMisonthey-axis,itsverticalCoordinatesis5,thecoordinateofPis(3,-2),Thentheareaof△OMPis_______。14、intheparallelogramABCD,AO=5,thenthecoordinateofAis______,ThecoordinateofCis__________,theareaofparallelogramABCDis________.15、letP(-3,y)shiftdown3units,shift2unitstowardsleftandthenewpointisQ(x,-1),thenxy=___________。16、knownpointA(3a+5,a-3)isontheanglebisectorofthesecondandforthquadrant,thena=_____.17、knownthecoordinatesoftheverticalsoftrapezoidABCDareA(1,3),B(1,1),C(5,1),D(3,3)respectively,shiftthetrapezoidtowardsleft2unitsandthendownwards3units,thenthenewcoordinatesofverticalsofthetrapezoidis_________,__________,___________,____________.theareaofthetrapezoidis__________.18、一个机器人从arobotwasstartfromOpoint,thengotowardseastandgoasfaras3mandreachedpointA1,thenitgoesnorthabout6mreachedpointA2,thenitgoeswestabout9mreachedpointA3,andthenitgoessouthabout12mreachedpointA4,andthenitgoeseastabout15mreachedthepointA5,accordingtothislaw,whentherobotwaldedtopointA6,thecoordinateofA6is_____________.19、knownlineMNisparalleltox-axis,andthelengthofMNis5,ifMis(2,-2),thenthecoordinatesofNis__________.三、answerquestions20、writeoutthecoordinatesofthemarkedpointsonthefish,andanswerthefollowingquestion:whatisthecharacteristicsofthepositionofpointBandE?ABCDEOxy图621、writeoutthecoordinatesoftheverticesof△ABCandcalculatetheareaofthistriangle.O图7ABC1xy\nFigure8CBA51oxy22、Asisshowninthegraph,in△ABC,thecoordinatesofthreevertexesofthistriangleisA(-5,0),B(4,0),C(2,5),move△ABC2unitsalongthepositivedirectionofx-axis,thenmoveit1unitalongthenegativeofy-axisandweget△EFG。(1)writeoutthethreeCoordinatesofthevertexesof△EFG(2)findtheareaof△EFG。23、figure9isthedesignofakite.(1)writedowneachvertexthataremarkedonthecoordinates.(2)keeptheverticalcoordinatesremains,multiply2totheallthehorizontalcoordinates,thenwhatthenewcoordinatesofallthevertexes,trysketchthenewkiteonthecoordinate.(3)ifthehorizontalcoordinatesstaysthesame,buttheverticalcoordinatesaremultipliedby-2,thenwritedownthenewcoordinatesofeachnewvertexes.Andtrytosketchthenewgraphonthecoordinate.ABCDFE1xy图9