位置与坐标期末复习卷(含解析)

位置与坐标期末复习卷(含解析)

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时间:2023-07-15

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18ூὃ௃ᨵᳮᦪḄîï\QḄឋ:.ூᑖ᪆௃(1)ᢥ᯿ᐜÉÈç!ḄòᑡC°®ʯ°ᓽe(2)᪷¥⚪óôC7ᓽe\(3)᪷¥Aஹ஺ÂQå$Ḅᓫe¢ºpḄᐵ\᪷¥Aஹ஺ÂQå$Ḅᓫe¢஻ஹ4Ḅᐵ.ூ௃(1)1+3+2+1+|-3|+|-4[=14,(2)᝞7(3)m+p=5,n+q-O.ூ2௃3⚪ὃ56ᨵᳮᦪḄîïÉÈQᦪᔣÈQᦪᔣÉQ\!Q:ᦪᔣ!QᦪᔣQ.25.(2015᧡•᧎÷᪥MN)᝞7ᡠoᙠᡠøḄQ☢ù[ᙶ᪗(1)CᑡᔜúAஹBஹCEûᩭA(2,3)ஹ8(-2,-1)ஹC(3,2)(2)AABCᔣÉQ2Tᓫ¹ýᔣQ1Tᓫ¹ý¢ᑮ᜛஺ᑣAḄÿAḄᙶ᪗(0,2)+BḄḄᙶ᪗(-4,-2)+CḄCḄᙶ᪗(11),

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20/ᙶ᪗ᓫᐗ4ᔁ2Jஹ⌱L⚪1.᝞3NOPQḄḄᙶ᪗RSA.(5,2)B.(-6,3)C.W1⚪W8⚪2.ᙠ☢ᙶ᪗[34ᑡᔜᙠW^_▲ḄaA.(2,1)B.(2,-1)C.(-2,1)D.(-2,-1)3.b-2,3ᐵdyfgḄᙶ᪗aA.(-2,3)B.(2,-3)C.(2,3)D.(-2,-3)4.☢ᙶ᪗ᑁ3AJjkᙠA.WJ_▲B.W^_▲C.Wl_▲D.Wm_▲5.b஻?+3,1ᙠqfr3ᑣPḄᙶ᪗)A.(0,-2)B.(2,0)C.(4,0)D.(0,-4)6.PḄᙶ᪗2-a,3a+6,vᑮwᙶ᪗fḄxyz{3ᑣPḄᙶ᪗A.3,3B.3,-3C.6,-6D.3,3ᡈ6,-67.~A2,0ஹ8-230ஹC0,1,A,B,Cl⚔m2>.ᑣWm/⚔kRSᙠA.WJ_▲B.W^_▲C.Wl_▲D.Wm_▲8.᝞aᡊ[■Ḅᙶ᪗ᙢᱏ3R

219.4Ḅ©ª>Ḅ«¬☢ᙶ᪗3ᐸ[J/⚔1dyfḄ¯°fr,ᑣ±Ḅᙶ᪗A.2,0B.0.-2C.0,2᱐?D.0,~27210.᝞ᡠ@Ḅ_³´r3µ“·”1d1,-3r3“z”1d3,-3r3¹ᡠº”1d^ஹ»¼⚪11.Aᙠxfr3v¾¿Ḅxy5,ᑣAḄᙶ᪗a.12.᝞3À/NªÁÂa1/ᓫ12Ḅ©ª>3᝞Ãᵨ0,0⊤@4Ḅ1£3ᵨ3,4⊤@BḄ1£3ÆÇᵨ⊤@CḄ1£.13.~M@a,b?,+MᔣÉcc>0/ᓫ123ᑣ5ᑮCḄᙶ᪗.14.Wl_▲ᑁḄbx,y,ÌÍ|x|=5,9=9,ᑣPḄᙶ᪗a.15.᝞3+AAOBÑ஺⌮Ó┐ÕÖ90஺35ᑮA4O᜛.µAḄᙶ᪗@a,b?,ᑣ4Ḅᙶ᪗.W15⚪lஹ:;⚪16.AABCᙠᙶ᪗ᑁḄ1£᝞.

22(1)ᑖ*ᑏAஹBஹCḄᙶ᪗((2)ØᙠÙ/ᙶ᪗ᑁAAiBiCi,ÛÜA1B1C1¾AA8Cᐵd)3fg38ᑏBiḄᙶ᪗.17.{ῪÞ>ABCOḄrß49=2,4ßBC=4,ß8=45஺3¬〉áḄᙶ᪗3âᔜ⚔Ḅᙶ᪗.18.~/>aᢥ4☢ªä&'åᡂḄ<(0,0)—(2,0)((1,0)—(0,-1)((1,1)-(1,-2)((1,0)J(2,-1).(1)Ø&'ᫀ3èaJ/éÇêëì(2)Ù/ᫀᐵdyfḄfg>38ᑏíᫀzᔜîḄᙶ᪗35ᑮJ/éÇêëì19.NïḄðñò⌕ᑮô3N¢õj〈÷øJùNúᱥ3øüýNï3ø~+úᱥþᙠÿ᪥ᑁ.ᐹᙢ⍝ᙶ᪗(6,6),⍝ᑁḄ᪗Ḅᙶ᪗ᑖA(-2,-3)"B(2,-3),$%&᪵()*ᑮ$,〈.Ḅ/ᱥ1

23AR20.ᙠ34ᙶ᪗56,ᵨ89:;<=(-2,0),(0,3),(3,3),(0,4),(-2,0).(1)>?@ABC1(2)DEFḄ☢HI(3)DEFḄᕜK.LὃNᫀPQ⚪S᪆?ஹ⌱W⚪

241.᝞B$Z[\ḄḄᙶ᪗])^_)A._5,2aB._-6,3aC._-4,-6aD._3,-4aὃeḄᙶ᪗.ᑖ᪆e᪷gᙠhij▲Ḅᙶ᪗ᱯ]3=SN.SNeSee$ZḄmnᙠhij▲$Z[\ḄḄoᙶ᪗$p0,rᙶ᪗$p0,.•.tᔠ⌱⚗w>_-4,-6a.ᦑ⌱C.yez⚪{⌕ὃ}ᙠhij▲~Ḅᙶ᪗ᱯᓫ.j▲Ḅᱯᑖeh?j▲_+,+a;hj▲_-,+a;hij▲_-,-a;hj▲_+,-a.2.ᙠ☢34ᙶ᪗56ᑡᔜᙠhj▲Ḅ_aA._2,1aB._2,-1aC._-2,1aD._-2,-1aὃeḄᙶ᪗.ᑖ᪆e᪷gᙠhj▲Ḅᱯoᙶ᪗ᦪrᙶ᪗ᦪN.SNeSeIᙠhj▲Ḅᱯorᙶ᪗ᙳ^ᔠ⚪Ḅᨵ⌱⚗C.ᦑ⌱C.yez⚪{⌕ὃ}☢34ᙶ᪗56ᔜj▲ḄḄᙶ᪗Ḅᱯ.j▲Ḅᱯᑖeh?j▲_+,+a;hj▲_-,+aIhij▲_-,-aIhj▲_+,-a.3._-2,3aᐵpyḄᙶ᪗_aA._-2,3aB._2,-3aC._2,3aD._-2,-3aὃeᐵpxஹyḄḄᙶ᪗.⚪eᵨ⚪.ᑖ᪆e᪷gᐵpyḄrᙶ᪗oᙶ᪗¡^¢ᦪᓽ]SNz⚪.

25SNeSeP_”஻aᐵpyḄᙶ᪗P'_-¨஻a...P_-2,3aᐵpaḄḄᙶ᪗^_2,3a.ᦑ⌱C.yez⚪ὃ}☢34ᙶ᪗5ḄឋªeᐵpyḄrᙶ᪗oᙶ᪗¡^¢ᦪᓫ.4.☢34ᙶ᪗5ᑁ«_n,1-ri'??®ᙠ_aA.h?j▲B.hj▲C.hij▲D.hj▲ὃeḄᙶ᪗.⚪e¯⚪.ᑖ᪆ez⚪]°ᓄ^S®²³´Ḅµ⚪DE¶SḄ®²³ᓽ].Efn0n<0SNeSe·1eᵫ⚪¹]ºQ>>J>J,1-n>0[1-n<0[1-n<0[1-n>0S>´®²³]1¶S1-n<0¾¿AḄoᙶ᪗ᦪrᙶ᪗ᦪ®)~ᡂÁᓽA?®ᙠhij▲.·2eAorᙶ᪗ÂÃx+a=l,ᓽ4_”1-*aᙠ38a=1-xÇ¿y=l-xÈ?ஹஹj▲ᦑA1-஻a?®ᙠhij▲.ᦑ⌱eC.yez⚪{⌕ὃ}☢34ᙶ᪗56ᔜj▲ᑁḄᙶ᪗Ḅɵ⚪°ᓄ^S®²³´Ḅµ⚪.5.Ê_஻?+3,1aᙠxÇᑣPḄᙶ᪗^_aA._0,-2aB._2,0aC._4,0aD._0,-4aὃeḄᙶ᪗.ᑖ᪆e᪷gxÇḄrᙶ᪗^0ᑡÍÎDEmḄÏÐDEoᙶ᪗ᓽ]ºS.SNeSeeP_஻?+3,஻?-1aᙠxÇ*.m-1=0,Sº/n=l,

26.*./H+3=1+3=4,.•.PḄᙶ᪗^(4,0).ᦑ⌱C.yez⚪ὃ}Ḅᙶ᪗ÒÓxÇḄrᙶ᪗^0S⚪ḄᐵÔ.6.Ḅᙶ᪗^(2-a,3a+6),Öᑮᙶ᪗Ḅ×زᑣPḄᙶ᪗^()A.(3,3)B.(3,-3)C.(6,-6)D.(3,3)ᡈ(6,-6)ὃeḄᙶ᪗.ᑖ᪆e᪷gPᑮᙶ᪗Ḅ×ز]º|2-a|=|3a+6|,ᓽ]DE஺ḄÏᑣPḄᙶ᪗]D.SNeSe•.•Ḅᙶ᪗^(2-034+6),Öᑮᙶ᪗Ḅ×زA|2-a|=|3a+6|,2-a=±(3a+6)Sºa=-1ᡈa=-4,ᓽPḄᙶ᪗^(3,3)ᡈ(6,-6).ᦑ⌱D.yez⚪ὃ}ᑮᙶ᪗Ḅ×زḄᱯᓽḄorᙶ᪗ḄÝϲ.7.ßA(2,0)ஹ8(-á0)ஹC(0,1),â4,B,Ci^⚔äåæ2C.ᑣh⚔®])ᙠ()A.h?j▲B.hj▲C.hij▲D.hj▲ὃeᙶ᪗PBCឋªIåæCḄឋª.⚪e¯⚪.ᑖ᪆e᪷g⚪äE₝BᯠéSN.âAB^?æ~C£ëḄK²pAB=2-(-1)=2á,22஺Ḅᙶ᪗]â^(2á1)ᡈ(-241)IâBC^48~ᙠhj▲.ᙶ᪗^(1á,222-1).SNeSe᪷gåæCḄæḄឋªæ².]â⍝ì?⚔Ḅᙶ᪗]â^:(11,-1)ᡈ(221)ᡈ(-221).222

27...®ᙠhij▲.ᦑ⌱c.yez⚪tᔠ☢34ᙶ᪗5ὃ}åæCḄឋª᪷g⚪äE₝BïᦪCtᔠS⚪ḄᐵÔ.8.᝞Bðᡊò6óôõö■øáÎḄᙶ᪗ᙢBùᱏûü]ýe?ᨩᚽḄᙶ᪗1,2,ᨩᚽḄᙶ᪗-3,2.ᨵᢣᢵᙶ᪗0,0,ᢣᢵḄ!ᜧ#$56ᨩᚽDA.AᜐB.BᜐC.CᜐD.஺ᜐὃ,ᙶ᪗-.!./⚪ᦪ23ᔠ.ᑖ᪆᪷89ᨩᚽ:ᨩᚽḄ;<ᙶ᪗ᑖ=-.x?:y?ḄᜧA!BᯠDEFGHᙶ᪗IᓽKᑮMᫀ.OMO•••9ᨩᚽḄ<ᙶ᪗2,ᨩᚽḄ<ᙶ᪗2,...9ᨩᚽ:ᨩᚽḄQRSTUx?BVᑮx?ḄWX2,Y9ᨩᚽḄ;ᙶ᪗1,ᨩᚽḄ;ᙶ᪗-3,9ᨩᚽXB?1ZᓫBᙠy?Ḅ]^_ᨩᚽXB?3ZᓫBᙠy?Ḅ`^B᝞b.ᦑ⌱B.,ef⚪ὃghᙶ᪗-.!GHᙶ᪗S☢ᑁ,Ḅ!Kᵫ,Ḅᙶ᪗-.B,lᨵmnᦪo99op.

289.rst4Ḅvw2ḄoHRxyS☢GHᙶ᪗IBᐸ{9Z⚔,Uy?Ḅ}~?,ᑣ,Ḅᙶ᪗A.2,0B.0,-2C.0,272D.0,-272ὃ,ᙶ᪗lb2ឋ.ᑖ᪆᪷8vw2ḄoHRUstḄ⊈FoHRḄtB᪷8vw2ḄoHRSᑖF⚔,ᑮ,ḄWXBᯠD᪷8y?Ḅ,Ḅᙶ᪗ᱯOMᓽK.OMO•••vw2Ḅst$4,vw2ḄoHR$4B•.•vw2ḄoHRSᑖB⚔,ᑮ,ḄWX2gBUy?Ḅ}~?Ḅ,Ḅᙶ᪗0,-272-ᦑ⌱D.,ef⚪ὃghᙶ᪗lb2ḄឋB⌕ᑭᵨhvw2ḄoHRlstḄᐵIBvw2ḄoHRSᑖBrᙶ᪗?Ḅ,Ḅᙶ᪗ᱯ.10.᝞bᡠḄ,““U,1,-3,“”U,3,-3Bᑣ“¡"U,ὃ,ᙶ᪗-.!.ᑖ᪆ᐜ᪷8bᑖ᪆ᑮ“¡'’l¦ᙶ᪗Ḅ§¨©ḄSªᐵIBᯠDG«Sª¦,Ḅᙶ᪗KᑮᡠḄ,Ḅᙶ᪗.ᓽKᵨ“”¬᯿B¯Kᵨ“”¬᯿.ᵨ“”ᑣᐸSª°±ᔣ`Sª3ZᓫBᔣSª2Zᓫᑮ“¡”Ḅ!.OMOᵫbK“¡”Ḅ!Kᵫ“''Ḅ!ᔣ`Sª3ZᓫBᔣSª3ZᓫᑮBᡠrG«³,1,-3ᔣ`Sª3ZᓫBᔣSª3Zᓫᑮ,-2,0,ᓽ“¡”Ḅ!.ᦑ⌱C.

29,ef⚪ὃgh,Ḅ!Ḅ-.B⌱´9Z¦ᙶ᪗Ḅ,Bµ¶SªḄw·¸,Ḅᙶ᪗$¹ᵨḄw·.ºஹ¼½⚪11.,Aᙠx?BVl,ḄWX5,ᑣ,AḄᙶ᪗$-5,0ᡈ5,0.ὃ,,Ḅᙶ᪗.ᑖ᪆ᑖ,Aᙠx?Ḅ}~?lv~?ÀÁÂO.OMOÃ,Aᙠx?Ḅ}~?ÄB•••,4l,ḄWX5,...,A-5,0,Ã,Aᙠv~?ÄB,Al,ḄWX5,...,45,0,ÅᡠÆB,4-5,0ᡈ5,0.ᦑMᫀ-5,0ᡈ5,0.,ef⚪ὃgh,Ḅᙶ᪗B⌕ÇÈᑖ,Aᙠx?Ḅv~?l}~?ÀÁÂO.12.᝞bBÉZÊwËÌ$st1ZᓫtḄvw2B᝞Íᵨ0,0⊤4,Ḅ!Bᵨ3,4⊤8,Ḅ!BÐÑᵨ6,I⊤C,Ḅ!.|||5||||JIIIIi.nὃ,ᙶ᪗-.!./⚪ÕËÖ.ᑖ᪆K᪷8Sª°±OM_¯K᪷8¦À,Ḅᙶ᪗xyᙶ᪗IDOM.OMOr,0,0×Ø,BᑣC,0+6,0+1,ᓽ6,1.ᦑMᫀ¼6,1.,ef⚪ὃgÚÛ,Ḅᙶ᪗OÜn▭Þ⚪Ḅßà:▅âᳮOßà.OÜäÚÞ⚪◤⌕ᐜ-.,Ḅ!B¸,Ḅ!.ᡈὅG«ᑭᵨᙶ᪗I{Ḅªç·ᑣ“]è`éBèêé”ᩭ-.ᙶ᪗.

3013.¦,M(a,b),ì,Mᔣ]Sªc(c>0)ZᓫtBᑣᑮC,Ḅᙶ᪗(a+c,b).ὃ,ᙶ᪗lb2òᓄ9Sª./⚪¹°⚪Ö.ᑖ᪆᪷8ᔣ]SªB;ᙶ᪗èB<ᙶ᪗ôòOMᓽK.OMO,Mᔣ]Sªc(c>0)Zᓫtᑮ,C,,CḄ;ᙶ᪗a+c,<ᙶ᪗b,,CḄᙶ᪗(a+c,b).ᦑMᫀ:(n+c,b).,e_f⚪ὃghSªlᙶ᪗lb2ḄòᓄBøùSª{,Ḅòᓄ°±$;ᙶ᪗]ªèB`ªé_<ᙶ᪗ªèBêªé$O⚪Ḅᐵú.14.ûü▲ᑁḄ,þ(x,y),ÿ|x|=5,)2=9,ᑣPḄᙶ᪗(-5,-3).ὃḄᙶ᪗.ᑖ᪆ᙠ▲ᙶ᪗<0,"ᙶ᪗V0.$᪷&ᡠ(ᩩ*ᓽ,-ᑮx,yḄᐹ12.343•••6ᙠ▲.*.x<0y<0,89:=5,)?=9,.'.x=-5y=-3,ᦑPḄᙶ᪗(-5,-3).>3?@⚪ḄᐵCDEᔜ▲ᑁḄᙶ᪗ḄHIJ▲(+,+);M▲(-,+);▲(-,-);N▲(+,-).15.᝞QRAAOBV஺⌮Y┐[\90஺-ᑮA/TOQ.`AḄᙶ᪗a(a,b),ᑣAḄᙶ᪗a(-b,a).ὃᙶ᪗bQcdᓄJ[\.

31f⚪gh⚪.ᑖ᪆᪷&[\Ḅឋj“[\lᦋdQcḄᜧopcq'’stuvvcḄឋj3⚪.343ᵫQ᧕yOB'=OB=a,ZA'B'0=ZABO=9Q°,•.•4ᙠM▲••.4Ḅᙶ᪗a(-b,a).>◤}~[\vḄᦪldḄld.ஹ34⚪16.AABCᙠuvᙶ᪗ᑁḄ᝞Q.(1)ᑖᑏAஹBஹCḄᙶ᪗(2)ᙠᙶ᪗ᑁ4B1C1,஺bAABCᐵyhᑏBiḄᙶ᪗.ὃQJhdᣚ.f⚪Q⚪.ᑖ᪆(1)᪷&☢uvᙶ᪗ᑏᔜḄᙶ᪗ᓽ,(2)᪷&¡¢᪀¤4ஹBஹCḄAiஹBiஹClḄᯠ§¨©ªᓽ,$᪷&☢uvᙶ᪗ᑏBiḄᙶ᪗.343(1)A(0,3),B(-4,4),C(-2,1)(2)AAiBiCi᝞Qᡠ«,B1(4,4).

32>@⚪ὃ¬ᑭᵨhQ°±²³¡¢᪀´µ¤Ḅ3⚪ḄᐵC.17.¶Ὺ¸cḄ¹º40=2,»ºBC=4,ºvB=45஺¼½〉¿Ḅuvᙶ᪗Àᔜ⚔Ḅᙶ᪗.ὃ¶Ὺ¸cḄឋjᙶ᪗bQcឋj¶Ὺuvvc.f⚪ÂÃÄ.ᑖ᪆£>F_L8cᑖbE,F,ÅÆÇ᧕ÀAE,BE,CE,ḄsBCaxhAEa)h¼½ᙶ᪗Å,sÀᔜḄᙶ᪗.343AE_LBC,£>F_LBCᑖbE,F,ᑣEF=A£>=2,BE=CF=l,uvAABEÈZB=45°,ᑣᐸa¶ῪuvvcÊËAE=BE=1,CE=3.sBCᡠᙠḄuaxhᵫBᔣCḄÍᔣaÎÍᔣAEᡠᙠḄuayhᵫEᔣAḄÍᔣaÎÍᔣ¼½ᙶ᪗ᑣA(0,1),B(-1,0),C(3,0),D(2,1).

33>ÀḄᙶ᪗ḄÏ⚪ÅÀḄḄÏ⚪.¶Ὺ¸cḄÏ⚪,sÐÑÒ\ᓄauvvcḄÏ⚪.18.ÓyÔQcᢥ»☢ÍÖ©ªËᡂḄ(0,0)—(2,0)+(1,0)-(0,-1)+(1,1)J(I,-2)+(1,0)J(2,-1).(1)©ªQᫀÙJÚÛÜÝÞ(2)Qᫀᐵ)hḄhQcᑏßQᫀàᔜáḄᙶ᪗â-ᑮJÚÛÜÝÞὃᑭᵨhãäQᫀ.f⚪Q⚪.ᑖ᪆(1)ᐜ¼½uvᙶ᪗¤ᑮᔜ©ªᓽ,-4ᫀ(2)᪷&hḄឋj¤ᑮᔜḄ§¨©ªᓽ,-4ᫀ.343(1)᝞Qᡠl:ÜÝᩈ;(2)

34(0,0)J(-2,0),(-1,0)J(0,-1),(-1,1)—(-1,-2),(-1,0)J(-2,-1)-ᑮḄÜÝ“᪍>@⚪ὃ¬ᑭᵨhãäQᫀḄyê34@⚪ḄᐵC᪷&hḄឋj-ᑮᔜḄᙶ᪗}~ëQ.19.oíḄîïð⌕ᑮoò?ó〈(õJ*oöᱥõøùoíõÓRöᱥúᙠû᪥1ýþᑁ.ᐹ1ᙢ⍝ᙶ᪗(6,6),⍝ᑁḄ᪗Ḅᙶ᪗ᑖA(-2,-3)B(2,-3),!"᪵$%&ᑮ(〈*Ḅ+ᱥ-•ARὃ0ᙶ᪗1234.6⚪0ᦪ9:ᔠ.ᑖ᪆0ᐜ᪷?Aஹ8Ḅᙶ᪗BCDEᙶ᪗FᯠH᪷?DEᙶ᪗FᵫBᑮCḄKLM2N&ḄKᔣPQ.RS0R0᪷?⚪TBCDEᙶ᪗FCᙶ᪗U(6,6),ᡠWXBCYZABKᔣ[4ᓫ3ᯠH^_H[9ᓫ3ᓽb&ᑮ(〈*Ḅ+ᱥ.c0d⚪ὃeᙶ᪗12340DEᙶ᪗f☢ᑁḄ34bᵫḄᙶ᪗12hᨵjkᦪl---lm.20.ᙠDEᙶ᪗Fpᵨrstuvw(-2,0),(0,3),(3,3),(0,4),(-2,0).(1)yz{|}9-(2)~CḄ☢(3)~CḄᕜ.

35ὃ02ᳮE9Ḅ☢.ᑖ᪆0(1)᪷?(-2,0),(0,3),(3,3),(0,4),(-2,0),BCDEᙶ᪗F,ᓽb9ᡂḄ}90(2)᪷?E9Ḅ☢ᓽb~R(3)᪷?2ᳮ~CᔜḄᓽb.RS0R0(1)᝞}ᡠ0ᑮz9(2)☢=1<1x2+L<1x3=2ஹ522(3)22+^22+^22+3=713+275+V1C^3.2+32+43+tc0d⚪ὃe2ᳮᙶ᪗h}9Ḅឋ¡¢ᜧ¤⚪Ḅᐵ¦ᙠDEᙶ᪗Fp§1Ḅ᪗CᔜḄᙶ᪗.¨©ὃeE9Ḅ☢ᕜḄª«.

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