人教版第13章 軸對(duì)稱測(cè)試卷(2)
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人教版第13章 軸對(duì)稱 測(cè)試卷(2)一、選擇題1在平面直角坐標(biāo)系中,點(diǎn)A(1,2)關(guān)于x軸對(duì)稱的點(diǎn)B的坐標(biāo)為()A(1,2)B(1,2)C(1,2)D(1,2)2如圖,ABC與DEF關(guān)于y軸對(duì)稱,已知A(4,6),B(6,2),E(2,1),則點(diǎn)D的坐標(biāo)為()A(4,6)B(4,6)C(2,1)D(6,2)3在平面直角坐標(biāo)系中,與點(diǎn)(1,2)關(guān)于y軸對(duì)稱的點(diǎn)的坐標(biāo)是()A(1,2)B(1,2)C(1,2)D(2,1)4點(diǎn)(3,2)關(guān)于x軸的對(duì)稱點(diǎn)為()A(3,2)B(3,2)C(3,2)D(2,3)5在平面直角坐標(biāo)系中,點(diǎn)P(3,2)關(guān)于直線y=x對(duì)稱點(diǎn)的坐標(biāo)是()A(3,2)B(3,2)C(2,3)D(3,2)6在平面直角坐標(biāo)系中,已知點(diǎn)A(2,3),則點(diǎn)A關(guān)于x軸的對(duì)稱點(diǎn)的坐標(biāo)為()A(3,2)B(2,3)C(2,3)D(2,3)7點(diǎn)P(2,5)關(guān)于x軸對(duì)稱的點(diǎn)的坐標(biāo)為()A(2,5)B(2,5)C(2,5)D(2,5)8點(diǎn)A(1,2)關(guān)于x軸對(duì)稱的點(diǎn)的坐標(biāo)是()A(1,2)B(1,2)C(1,2)D(1,2)9已知點(diǎn)A(a,2013)與點(diǎn)B(2014,b)關(guān)于x軸對(duì)稱,則a+b的值為()A1B1C2D3二、填空題10平面直角坐標(biāo)系中,點(diǎn)A(2,0)關(guān)于y軸對(duì)稱的點(diǎn)A的坐標(biāo)為11在平面直角坐標(biāo)系中,點(diǎn)A的坐標(biāo)是(2,3),作點(diǎn)A關(guān)于x軸的對(duì)稱點(diǎn),得到點(diǎn)A,再作點(diǎn)A關(guān)于y軸的對(duì)稱點(diǎn),得到點(diǎn)A,則點(diǎn)A的坐標(biāo)是(,)12在平面直角坐標(biāo)系中,點(diǎn)(3,2)關(guān)于y軸的對(duì)稱點(diǎn)的坐標(biāo)是13已知點(diǎn)P(3,a)關(guān)于y軸的對(duì)稱點(diǎn)為Q(b,2),則ab=14若點(diǎn)M(3,a)關(guān)于y軸的對(duì)稱點(diǎn)是點(diǎn)N(b,2),則(a+b)2014=15已知點(diǎn)P(3,1)關(guān)于y軸的對(duì)稱點(diǎn)Q的坐標(biāo)是(a+b,1b),則ab的值為16點(diǎn)A(3,0)關(guān)于y軸的對(duì)稱點(diǎn)的坐標(biāo)是17點(diǎn)P(2,1)關(guān)于x軸對(duì)稱的點(diǎn)P的坐標(biāo)是18在平面直角坐標(biāo)系中,點(diǎn)A(2,3)關(guān)于y軸對(duì)稱的點(diǎn)的坐標(biāo)為19點(diǎn)P(2,3)關(guān)于x軸的對(duì)稱點(diǎn)P的坐標(biāo)為20點(diǎn)P(3,2)關(guān)于y軸對(duì)稱的點(diǎn)的坐標(biāo)是21點(diǎn)P(1,2)關(guān)于y軸對(duì)稱的點(diǎn)的坐標(biāo)為22點(diǎn)A(3,2)關(guān)于x軸的對(duì)稱點(diǎn)A的坐標(biāo)為23若點(diǎn)A(m+2,3)與點(diǎn)B(4,n+5)關(guān)于y軸對(duì)稱,則m+n=24點(diǎn)P(2,3)關(guān)于x軸的對(duì)稱點(diǎn)的坐標(biāo)為25已知P(1,2),則點(diǎn)P關(guān)于x軸的對(duì)稱點(diǎn)的坐標(biāo)是三、解答題26在如圖所示的直角坐標(biāo)系中,每個(gè)小方格都是邊長(zhǎng)為1的正方形,ABC的頂點(diǎn)均在格點(diǎn)上,點(diǎn)A的坐標(biāo)是(3,1)(1)將ABC沿y軸正方向平移3個(gè)單位得到A1B1C1,畫(huà)出A1B1C1,并寫(xiě)出點(diǎn)B1坐標(biāo);(2)畫(huà)出A1B1C1關(guān)于y軸對(duì)稱的A2B2C2,并寫(xiě)出點(diǎn)C2的坐標(biāo)27如圖,在邊長(zhǎng)為1個(gè)單位長(zhǎng)度的小正方形網(wǎng)格中,給出了ABC(頂點(diǎn)是網(wǎng)格線的交點(diǎn))(1)請(qǐng)畫(huà)出ABC關(guān)于直線l對(duì)稱的A1B1C1;(2)將線段AC向左平移3個(gè)單位,再向下平移5個(gè)單位,畫(huà)出平移得到的線段A2C2,并以它為一邊作一個(gè)格點(diǎn)A2B2C2,使A2B2=C2B228在平面直角坐標(biāo)系中,ABC的頂點(diǎn)坐標(biāo)A(4,1),B(2,1),C(2,3)(1)作ABC關(guān)于y軸的對(duì)稱圖形A1B1C1;(2)將ABC向下平移4個(gè)單位長(zhǎng)度,作出平移后的A2B2C2;(3)求四邊形AA2B2C的面積29在平面直角坐標(biāo)系中,已知點(diǎn)A(3,1),B(1,0),C(2,1),請(qǐng)?jiān)趫D中畫(huà)出ABC,并畫(huà)出與ABC關(guān)于y軸對(duì)稱的圖形30如圖,ABC與DEF關(guān)于直線l對(duì)稱,請(qǐng)僅用無(wú)刻度的直尺,在下面兩個(gè)圖中分別作出直線l參考答案與試題解析一、選擇題1在平面直角坐標(biāo)系中,點(diǎn)A(1,2)關(guān)于x軸對(duì)稱的點(diǎn)B的坐標(biāo)為()A(1,2)B(1,2)C(1,2)D(1,2)【考點(diǎn)】關(guān)于x軸、y軸對(duì)稱的點(diǎn)的坐標(biāo)【分析】根據(jù)關(guān)于x軸對(duì)稱點(diǎn)的坐標(biāo)特點(diǎn):橫坐標(biāo)不變,縱坐標(biāo)互為相反數(shù)可得B點(diǎn)坐標(biāo)【解答】解:點(diǎn)A(1,2)關(guān)于x軸對(duì)稱的點(diǎn)B的坐標(biāo)為(1,2),故選:D【點(diǎn)評(píng)】此題主要考查了關(guān)于x軸對(duì)稱點(diǎn)的坐標(biāo)特點(diǎn),關(guān)鍵是掌握點(diǎn)的坐標(biāo)的變化規(guī)律2如圖,ABC與DEF關(guān)于y軸對(duì)稱,已知A(4,6),B(6,2),E(2,1),則點(diǎn)D的坐標(biāo)為()A(4,6)B(4,6)C(2,1)D(6,2)【考點(diǎn)】關(guān)于x軸、y軸對(duì)稱的點(diǎn)的坐標(biāo)【分析】根據(jù)關(guān)于y軸對(duì)稱點(diǎn)的坐標(biāo)特點(diǎn):橫坐標(biāo)互為相反數(shù),縱坐標(biāo)不變即點(diǎn)P(x,y)關(guān)于y軸的對(duì)稱點(diǎn)P的坐標(biāo)是(x,y),進(jìn)而得出答案【解答】解:ABC與DEF關(guān)于y軸對(duì)稱,A(4,6),D(4,6)故選:B【點(diǎn)評(píng)】此題主要考查了關(guān)于y軸對(duì)稱點(diǎn)的性質(zhì),準(zhǔn)確記憶橫縱坐標(biāo)的關(guān)系是解題關(guān)鍵3在平面直角坐標(biāo)系中,與點(diǎn)(1,2)關(guān)于y軸對(duì)稱的點(diǎn)的坐標(biāo)是()A(1,2)B(1,2)C(1,2)D(2,1)【考點(diǎn)】關(guān)于x軸、y軸對(duì)稱的點(diǎn)的坐標(biāo)【分析】根據(jù)“關(guān)于y軸對(duì)稱的點(diǎn),縱坐標(biāo)相同,橫坐標(biāo)互為相反數(shù)”解答即可【解答】解:點(diǎn)(1,2)關(guān)于y軸對(duì)稱的點(diǎn)的坐標(biāo)是(1,2)故選A【點(diǎn)評(píng)】解決本題的關(guān)鍵是掌握好對(duì)稱點(diǎn)的坐標(biāo)規(guī)律:(1)關(guān)于x軸對(duì)稱的點(diǎn),橫坐標(biāo)相同,縱坐標(biāo)互為相反數(shù);(2)關(guān)于y軸對(duì)稱的點(diǎn),縱坐標(biāo)相同,橫坐標(biāo)互為相反數(shù);(3)關(guān)于原點(diǎn)對(duì)稱的點(diǎn),橫坐標(biāo)與縱坐標(biāo)都互為相反數(shù)4點(diǎn)(3,2)關(guān)于x軸的對(duì)稱點(diǎn)為()A(3,2)B(3,2)C(3,2)D(2,3)【考點(diǎn)】關(guān)于x軸、y軸對(duì)稱的點(diǎn)的坐標(biāo)【分析】根據(jù)關(guān)于x軸對(duì)稱點(diǎn)的坐標(biāo)特點(diǎn):橫坐標(biāo)不變,縱坐標(biāo)互為相反數(shù)可直接寫(xiě)出答案【解答】解:點(diǎn)(3,2)關(guān)于x軸的對(duì)稱點(diǎn)為(3,2),故選:A【點(diǎn)評(píng)】此題主要考查了關(guān)于x軸對(duì)稱點(diǎn)的坐標(biāo)特點(diǎn),關(guān)鍵是掌握點(diǎn)的坐標(biāo)的變化規(guī)律5在平面直角坐標(biāo)系中,點(diǎn)P(3,2)關(guān)于直線y=x對(duì)稱點(diǎn)的坐標(biāo)是()A(3,2)B(3,2)C(2,3)D(3,2)【考點(diǎn)】坐標(biāo)與圖形變化-對(duì)稱【分析】根據(jù)直線y=x是第一、三象限的角平分線,和點(diǎn)P的坐標(biāo)結(jié)合圖形得到答案【解答】解:點(diǎn)P關(guān)于直線y=x對(duì)稱點(diǎn)為點(diǎn)Q,作APx軸交y=x于A,y=x是第一、三象限的角平分線,點(diǎn)A的坐標(biāo)為(2,2),AP=AQ,點(diǎn)Q的坐標(biāo)為(2,3)故選:C【點(diǎn)評(píng)】本題考查的是坐標(biāo)與圖形的變換,掌握軸對(duì)稱的性質(zhì)是解題的關(guān)鍵,注意角平分線的性質(zhì)的應(yīng)用6在平面直角坐標(biāo)系中,已知點(diǎn)A(2,3),則點(diǎn)A關(guān)于x軸的對(duì)稱點(diǎn)的坐標(biāo)為()A(3,2)B(2,3)C(2,3)D(2,3)【考點(diǎn)】關(guān)于x軸、y軸對(duì)稱的點(diǎn)的坐標(biāo)【分析】根據(jù)關(guān)于x軸對(duì)稱點(diǎn)的坐標(biāo)特點(diǎn):橫坐標(biāo)不變,縱坐標(biāo)互為相反數(shù)即點(diǎn)P(x,y)關(guān)于x軸的對(duì)稱點(diǎn)P的坐標(biāo)是(x,y),進(jìn)而得出答案【解答】解:點(diǎn)A(2,3),點(diǎn)A關(guān)于x軸的對(duì)稱點(diǎn)的坐標(biāo)為:(2,3)故選:B【點(diǎn)評(píng)】此題主要考查了關(guān)于x軸對(duì)稱點(diǎn)的性質(zhì),正確記憶關(guān)于坐標(biāo)軸對(duì)稱點(diǎn)的性質(zhì)是解題關(guān)鍵7點(diǎn)P(2,5)關(guān)于x軸對(duì)稱的點(diǎn)的坐標(biāo)為()A(2,5)B(2,5)C(2,5)D(2,5)【考點(diǎn)】關(guān)于x軸、y軸對(duì)稱的點(diǎn)的坐標(biāo)【分析】根據(jù)關(guān)于x軸對(duì)稱點(diǎn)的坐標(biāo)特點(diǎn):橫坐標(biāo)不變,縱坐標(biāo)互為相反數(shù)即點(diǎn)P(x,y)關(guān)于x軸的對(duì)稱點(diǎn)P的坐標(biāo)是(x,y),進(jìn)而得出答案【解答】解:點(diǎn)P(2,5)關(guān)于x軸對(duì)稱,對(duì)稱點(diǎn)的坐標(biāo)為:(2,5)故選:B【點(diǎn)評(píng)】此題主要考查了關(guān)于x軸對(duì)稱點(diǎn)的坐標(biāo)性質(zhì),正確記憶坐標(biāo)變化規(guī)律是解題關(guān)鍵8點(diǎn)A(1,2)關(guān)于x軸對(duì)稱的點(diǎn)的坐標(biāo)是()A(1,2)B(1,2)C(1,2)D(1,2)【考點(diǎn)】關(guān)于x軸、y軸對(duì)稱的點(diǎn)的坐標(biāo)【分析】根據(jù)關(guān)于x軸對(duì)稱點(diǎn)的坐標(biāo)特點(diǎn):橫坐標(biāo)不變,縱坐標(biāo)互為相反數(shù)可直接得到答案【解答】解:點(diǎn)A(1,2)關(guān)于x軸對(duì)稱的點(diǎn)的坐標(biāo)是(1,2),故選:D【點(diǎn)評(píng)】此題主要考查了關(guān)于x軸對(duì)稱點(diǎn)的坐標(biāo)特點(diǎn),關(guān)鍵是掌握點(diǎn)的坐標(biāo)的變化規(guī)律9已知點(diǎn)A(a,2013)與點(diǎn)B(2014,b)關(guān)于x軸對(duì)稱,則a+b的值為()A1B1C2D3【考點(diǎn)】關(guān)于x軸、y軸對(duì)稱的點(diǎn)的坐標(biāo)【分析】根據(jù)關(guān)于x軸對(duì)稱點(diǎn)的坐標(biāo)的特點(diǎn),可以得到點(diǎn)A的坐標(biāo)與點(diǎn)B的坐標(biāo)的關(guān)系【解答】解:A(a,2013)與點(diǎn)B(2014,b)關(guān)于x軸對(duì)稱,a=2014,b=2013a+b=1,故選:B【點(diǎn)評(píng)】此題主要考查了關(guān)于x、y軸對(duì)稱點(diǎn)的坐標(biāo)特點(diǎn),關(guān)鍵是掌握點(diǎn)的坐標(biāo)的變化規(guī)律二、填空題(共16小題)10平面直角坐標(biāo)系中,點(diǎn)A(2,0)關(guān)于y軸對(duì)稱的點(diǎn)A的坐標(biāo)為(2,0)【考點(diǎn)】關(guān)于x軸、y軸對(duì)稱的點(diǎn)的坐標(biāo)【分析】根據(jù)關(guān)于y軸對(duì)稱點(diǎn)的坐標(biāo)特點(diǎn):橫坐標(biāo)互為相反數(shù),縱坐標(biāo)不變可以直接寫(xiě)出答案【解答】解:點(diǎn)A(2,0)關(guān)于y軸對(duì)稱的點(diǎn)A的坐標(biāo)為(2,0),故答案為:(2,0)【點(diǎn)評(píng)】此題主要考查了關(guān)于y軸對(duì)稱點(diǎn)的坐標(biāo)特點(diǎn),關(guān)鍵是掌握點(diǎn)的坐標(biāo)的變化規(guī)律11在平面直角坐標(biāo)系中,點(diǎn)A的坐標(biāo)是(2,3),作點(diǎn)A關(guān)于x軸的對(duì)稱點(diǎn),得到點(diǎn)A,再作點(diǎn)A關(guān)于y軸的對(duì)稱點(diǎn),得到點(diǎn)A,則點(diǎn)A的坐標(biāo)是(2,3)【考點(diǎn)】關(guān)于x軸、y軸對(duì)稱的點(diǎn)的坐標(biāo)【分析】分別利用x軸、y軸對(duì)稱點(diǎn)的性質(zhì),得出A,A的坐標(biāo)進(jìn)而得出答案【解答】解:點(diǎn)A的坐標(biāo)是(2,3),作點(diǎn)A關(guān)于x軸的對(duì)稱點(diǎn),得到點(diǎn)A,A的坐標(biāo)為:(2,3),點(diǎn)A關(guān)于y軸的對(duì)稱點(diǎn),得到點(diǎn)A,點(diǎn)A的坐標(biāo)是:(2,3)故答案為:2;3【點(diǎn)評(píng)】此題主要考查了關(guān)于x軸、y軸對(duì)稱點(diǎn)的性質(zhì)(1)關(guān)于x軸對(duì)稱點(diǎn)的坐標(biāo)特點(diǎn):橫坐標(biāo)不變,縱坐標(biāo)互為相反數(shù)即點(diǎn)P(x,y)關(guān)于x軸的對(duì)稱點(diǎn)P的坐標(biāo)是(x,y)(2)關(guān)于y軸對(duì)稱點(diǎn)的坐標(biāo)特點(diǎn):橫坐標(biāo)互為相反數(shù),縱坐標(biāo)不變即點(diǎn)P(x,y)關(guān)于y軸的對(duì)稱點(diǎn)P的坐標(biāo)是(x,y)12在平面直角坐標(biāo)系中,點(diǎn)(3,2)關(guān)于y軸的對(duì)稱點(diǎn)的坐標(biāo)是(3,2)【考點(diǎn)】關(guān)于x軸、y軸對(duì)稱的點(diǎn)的坐標(biāo)【分析】根據(jù)關(guān)于y軸對(duì)稱的點(diǎn),縱坐標(biāo)相同,橫坐標(biāo)互為相反數(shù),可得答案【解答】解:在平面直角坐標(biāo)系中,點(diǎn)(3,2)關(guān)于y軸的對(duì)稱點(diǎn)的坐標(biāo)是(3,2),故答案為:(3,2)【點(diǎn)評(píng)】本題考查了關(guān)于x軸、y軸對(duì)稱的點(diǎn)的坐標(biāo),解決本題的關(guān)鍵是掌握好對(duì)稱點(diǎn)的坐標(biāo)規(guī)律:關(guān)于x軸對(duì)稱的點(diǎn),橫坐標(biāo)相同,縱坐標(biāo)互為相反數(shù);關(guān)于y軸對(duì)稱的點(diǎn),縱坐標(biāo)相同,橫坐標(biāo)互為相反數(shù);關(guān)于原點(diǎn)對(duì)稱的點(diǎn),橫坐標(biāo)與縱坐標(biāo)都互為相反數(shù)13已知點(diǎn)P(3,a)關(guān)于y軸的對(duì)稱點(diǎn)為Q(b,2),則ab=6【考點(diǎn)】關(guān)于x軸、y軸對(duì)稱的點(diǎn)的坐標(biāo)【分析】根據(jù)關(guān)于y軸對(duì)稱點(diǎn)的坐標(biāo)特點(diǎn):橫坐標(biāo)互為相反數(shù),縱坐標(biāo)不變可得a=2,b=3,進(jìn)而可得答案【解答】解:點(diǎn)P(3,a)關(guān)于y軸的對(duì)稱點(diǎn)為Q(b,2),a=2,b=3,ab=6,故答案為:6【點(diǎn)評(píng)】此題主要考查了關(guān)于y軸對(duì)稱點(diǎn)的坐標(biāo)特點(diǎn),關(guān)鍵是掌握點(diǎn)的坐標(biāo)的變化規(guī)律14若點(diǎn)M(3,a)關(guān)于y軸的對(duì)稱點(diǎn)是點(diǎn)N(b,2),則(a+b)2014=1【考點(diǎn)】關(guān)于x軸、y軸對(duì)稱的點(diǎn)的坐標(biāo)【分析】根據(jù)軸對(duì)稱的性質(zhì),點(diǎn)M和點(diǎn)N的縱坐標(biāo)相等,橫坐標(biāo)互為相反數(shù),可以求得a、b的值,從而可得a+b的值【解答】解:點(diǎn)M(3,a)關(guān)于y軸的對(duì)稱點(diǎn)是點(diǎn)N(b,2),b=3,a=2,a+b=1,(a+b)2014=(1)2014=1故答案為:1【點(diǎn)評(píng)】本題考查了軸對(duì)稱的性質(zhì)和冪的運(yùn)算,解題的關(guān)鍵是先求得a、b的值15已知點(diǎn)P(3,1)關(guān)于y軸的對(duì)稱點(diǎn)Q的坐標(biāo)是(a+b,1b),則ab的值為25【考點(diǎn)】關(guān)于x軸、y軸對(duì)稱的點(diǎn)的坐標(biāo)【分析】根據(jù)關(guān)于y軸對(duì)稱點(diǎn)的坐標(biāo)特點(diǎn):橫坐標(biāo)互為相反數(shù),縱坐標(biāo)不變可直接得到答案【解答】解:點(diǎn)P(3,1)關(guān)于y軸的對(duì)稱點(diǎn)Q的坐標(biāo)是(a+b,1b),解得:,則ab的值為:(5)2=25故答案為:25【點(diǎn)評(píng)】此題主要考查了關(guān)于y軸對(duì)稱點(diǎn)的坐標(biāo)特點(diǎn),關(guān)鍵是掌握點(diǎn)的坐標(biāo)的變化規(guī)律16點(diǎn)A(3,0)關(guān)于y軸的對(duì)稱點(diǎn)的坐標(biāo)是(3,0)【考點(diǎn)】關(guān)于x軸、y軸對(duì)稱的點(diǎn)的坐標(biāo)【分析】根據(jù)關(guān)于y軸對(duì)稱點(diǎn)的坐標(biāo)特點(diǎn):橫坐標(biāo)互為相反數(shù),縱坐標(biāo)不變可以直接寫(xiě)出答案【解答】解:點(diǎn)A(3,0)關(guān)于y軸的對(duì)稱點(diǎn)的坐標(biāo)是(3,0),故答案為:(3,0)【點(diǎn)評(píng)】此題主要考查了關(guān)于y軸對(duì)稱點(diǎn)的坐標(biāo)特點(diǎn),關(guān)鍵是掌握點(diǎn)的坐標(biāo)的變化規(guī)律17點(diǎn)P(2,1)關(guān)于x軸對(duì)稱的點(diǎn)P的坐標(biāo)是(2,1)【考點(diǎn)】關(guān)于x軸、y軸對(duì)稱的點(diǎn)的坐標(biāo)【分析】根據(jù)關(guān)于x軸對(duì)稱點(diǎn)的坐標(biāo)特點(diǎn):橫坐標(biāo)不變,縱坐標(biāo)互為相反數(shù)可以直接得到答案【解答】解:點(diǎn)P(2,1)關(guān)于x軸對(duì)稱的點(diǎn)P的坐標(biāo)是(2,1),故答案為:(2,1)【點(diǎn)評(píng)】此題主要考查了關(guān)于x軸對(duì)稱點(diǎn)的坐標(biāo)特點(diǎn),關(guān)鍵是掌握點(diǎn)的坐標(biāo)的變化規(guī)律18在平面直角坐標(biāo)系中,點(diǎn)A(2,3)關(guān)于y軸對(duì)稱的點(diǎn)的坐標(biāo)為(2,3)【考點(diǎn)】關(guān)于x軸、y軸對(duì)稱的點(diǎn)的坐標(biāo)【分析】根據(jù)關(guān)于y軸對(duì)稱點(diǎn)的坐標(biāo)特點(diǎn):橫坐標(biāo)互為相反數(shù),縱坐標(biāo)不變可得答案【解答】解:點(diǎn)A(2,3)關(guān)于y軸對(duì)稱的點(diǎn)的坐標(biāo)為(2,3),故答案為:(2,3)【點(diǎn)評(píng)】此題主要考查了關(guān)于y軸對(duì)稱的點(diǎn)的坐標(biāo),關(guān)鍵是掌握點(diǎn)的坐標(biāo)的變化規(guī)律19點(diǎn)P(2,3)關(guān)于x軸的對(duì)稱點(diǎn)P的坐標(biāo)為(2,3)【考點(diǎn)】關(guān)于x軸、y軸對(duì)稱的點(diǎn)的坐標(biāo)【分析】讓點(diǎn)P的橫坐標(biāo)不變,縱坐標(biāo)互為相反數(shù)即可得到點(diǎn)P關(guān)于x軸的對(duì)稱點(diǎn)P的坐標(biāo)【解答】解:點(diǎn)P(2,3)關(guān)于x軸的對(duì)稱點(diǎn)P,點(diǎn)P的橫坐標(biāo)不變,為2;縱坐標(biāo)為3,點(diǎn)P關(guān)于x軸的對(duì)稱點(diǎn)P的坐標(biāo)為(2,3)故答案為:(2,3)【點(diǎn)評(píng)】此題主要考查了關(guān)于x軸對(duì)稱點(diǎn)的性質(zhì),用到的知識(shí)點(diǎn)為:兩點(diǎn)關(guān)于x軸對(duì)稱,橫縱坐標(biāo)不變,縱坐標(biāo)互為相反數(shù)20點(diǎn)P(3,2)關(guān)于y軸對(duì)稱的點(diǎn)的坐標(biāo)是(3,2)【考點(diǎn)】關(guān)于x軸、y軸對(duì)稱的點(diǎn)的坐標(biāo)【分析】此題考查平面直角坐標(biāo)系與對(duì)稱的結(jié)合【解答】解:點(diǎn)P(m,n)關(guān)于y軸對(duì)稱點(diǎn)的坐標(biāo)P(m,n),所以點(diǎn)P(3,2)關(guān)于y軸對(duì)稱的點(diǎn)的坐標(biāo)為(3,2)故答案為:(3,2)【點(diǎn)評(píng)】考查平面直角坐標(biāo)系點(diǎn)的對(duì)稱性質(zhì)21點(diǎn)P(1,2)關(guān)于y軸對(duì)稱的點(diǎn)的坐標(biāo)為(1,2)【考點(diǎn)】關(guān)于x軸、y軸對(duì)稱的點(diǎn)的坐標(biāo)【專題】常規(guī)題型【分析】根據(jù)“關(guān)于y軸對(duì)稱的點(diǎn),縱坐標(biāo)相同,橫坐標(biāo)互為相反數(shù)”解答即可【解答】解:點(diǎn)P(1,2)關(guān)于y軸對(duì)稱的點(diǎn)的坐標(biāo)為(1,2)故答案為:(1,2)【點(diǎn)評(píng)】本題考查了關(guān)于x軸、y軸對(duì)稱的點(diǎn)的坐標(biāo),解決本題的關(guān)鍵是掌握好對(duì)稱點(diǎn)的坐標(biāo)規(guī)律:(1)關(guān)于x軸對(duì)稱的點(diǎn),橫坐標(biāo)相同,縱坐標(biāo)互為相反數(shù);(2)關(guān)于y軸對(duì)稱的點(diǎn),縱坐標(biāo)相同,橫坐標(biāo)互為相反數(shù);(3)關(guān)于原點(diǎn)對(duì)稱的點(diǎn),橫坐標(biāo)與縱坐標(biāo)都互為相反數(shù)22點(diǎn)A(3,2)關(guān)于x軸的對(duì)稱點(diǎn)A的坐標(biāo)為(3,2)【考點(diǎn)】關(guān)于x軸、y軸對(duì)稱的點(diǎn)的坐標(biāo)【分析】根據(jù)“關(guān)于x軸對(duì)稱的點(diǎn),橫坐標(biāo)相同,縱坐標(biāo)互為相反數(shù)”解答【解答】解:點(diǎn)A(3,2)關(guān)于x軸對(duì)稱的點(diǎn)的坐標(biāo)為(3,2)故答案為:(3,2)【點(diǎn)評(píng)】本題考查了關(guān)于x軸、y軸對(duì)稱的點(diǎn)的坐標(biāo),解決本題的關(guān)鍵是掌握好對(duì)稱點(diǎn)的坐標(biāo)規(guī)律:(1)關(guān)于x軸對(duì)稱的點(diǎn),橫坐標(biāo)相同,縱坐標(biāo)互為相反數(shù);(2)關(guān)于y軸對(duì)稱的點(diǎn),縱坐標(biāo)相同,橫坐標(biāo)互為相反數(shù);(3)關(guān)于原點(diǎn)對(duì)稱的點(diǎn),橫坐標(biāo)與縱坐標(biāo)都互為相反數(shù)23若點(diǎn)A(m+2,3)與點(diǎn)B(4,n+5)關(guān)于y軸對(duì)稱,則m+n=0【考點(diǎn)】關(guān)于x軸、y軸對(duì)稱的點(diǎn)的坐標(biāo)【分析】根據(jù)“關(guān)于y軸對(duì)稱的點(diǎn),縱坐標(biāo)相同,橫坐標(biāo)互為相反數(shù)”列出方程求解即可【解答】解:點(diǎn)A(m+2,3)與點(diǎn)B(4,n+5)關(guān)于y軸對(duì)稱,m+2=4,3=n+5,解得:m=2,n=2,m+n=0,故答案為:0【點(diǎn)評(píng)】本題考查了關(guān)于x軸、y軸對(duì)稱的點(diǎn)的坐標(biāo),解決本題的關(guān)鍵是掌握好對(duì)稱點(diǎn)的坐標(biāo)規(guī)律:(1)關(guān)于x軸對(duì)稱的點(diǎn),橫坐標(biāo)相同,縱坐標(biāo)互為相反數(shù);(2)關(guān)于y軸對(duì)稱的點(diǎn),縱坐標(biāo)相同,橫坐標(biāo)互為相反數(shù);(3)關(guān)于原點(diǎn)對(duì)稱的點(diǎn),橫坐標(biāo)與縱坐標(biāo)都互為相反數(shù)24點(diǎn)P(2,3)關(guān)于x軸的對(duì)稱點(diǎn)的坐標(biāo)為(2,3)【考點(diǎn)】關(guān)于x軸、y軸對(duì)稱的點(diǎn)的坐標(biāo)【分析】根據(jù)關(guān)于x軸對(duì)稱點(diǎn)的坐標(biāo)特點(diǎn):橫坐標(biāo)不變,縱坐標(biāo)互為相反數(shù)即點(diǎn)P(x,y)關(guān)于x軸的對(duì)稱點(diǎn)P的坐標(biāo)是(x,y)得出即可【解答】解:點(diǎn)P(2,3)關(guān)于x軸的對(duì)稱點(diǎn)的坐標(biāo)為:(2,3)故答案為:(2,3)【點(diǎn)評(píng)】此題主要考查了關(guān)于x軸、y軸對(duì)稱點(diǎn)的性質(zhì),正確記憶坐標(biāo)規(guī)律是解題關(guān)鍵25已知P(1,2),則點(diǎn)P關(guān)于x軸的對(duì)稱點(diǎn)的坐標(biāo)是(1,2)【考點(diǎn)】關(guān)于x軸、y軸對(duì)稱的點(diǎn)的坐標(biāo)【分析】根據(jù)關(guān)于x軸對(duì)稱點(diǎn)的坐標(biāo)特點(diǎn):橫坐標(biāo)不變,縱坐標(biāo)互為相反數(shù)即點(diǎn)P(x,y)關(guān)于x軸的對(duì)稱點(diǎn)P的坐標(biāo)是(x,y),進(jìn)而得出答案【解答】解:P(1,2),點(diǎn)P關(guān)于x軸的對(duì)稱點(diǎn)的坐標(biāo)是:(1,2)故答案為:(1,2)【點(diǎn)評(píng)】此題主要考查了關(guān)于x軸對(duì)稱點(diǎn)的性質(zhì),正確記憶關(guān)于坐標(biāo)軸對(duì)稱點(diǎn)的性質(zhì)是解題關(guān)鍵三、解答題26在如圖所示的直角坐標(biāo)系中,每個(gè)小方格都是邊長(zhǎng)為1的正方形,ABC的頂點(diǎn)均在格點(diǎn)上,點(diǎn)A的坐標(biāo)是(3,1)(1)將ABC沿y軸正方向平移3個(gè)單位得到A1B1C1,畫(huà)出A1B1C1,并寫(xiě)出點(diǎn)B1坐標(biāo);(2)畫(huà)出A1B1C1關(guān)于y軸對(duì)稱的A2B2C2,并寫(xiě)出點(diǎn)C2的坐標(biāo)【考點(diǎn)】作圖-軸對(duì)稱變換;作圖-平移變換【專題】作圖題【分析】(1)直接利用平移的性質(zhì)得出平移后對(duì)應(yīng)點(diǎn)位置進(jìn)而得出答案;(2)利用軸對(duì)稱圖形的性質(zhì)得出對(duì)應(yīng)點(diǎn)位置進(jìn)而得出答案【解答】解:(1)如圖所示:A1B1C1,即為所求;點(diǎn)B1坐標(biāo)為:(2,1);(2)如圖所示:A2B2C2,即為所求,點(diǎn)C2的坐標(biāo)為:(1,1)【點(diǎn)評(píng)】此題主要考查了軸對(duì)稱變換以及平移變換,根據(jù)圖形的性質(zhì)得出對(duì)應(yīng)點(diǎn)位置是解題關(guān)鍵27如圖,在邊長(zhǎng)為1個(gè)單位長(zhǎng)度的小正方形網(wǎng)格中,給出了ABC(頂點(diǎn)是網(wǎng)格線的交點(diǎn))(1)請(qǐng)畫(huà)出ABC關(guān)于直線l對(duì)稱的A1B1C1;(2)將線段AC向左平移3個(gè)單位,再向下平移5個(gè)單位,畫(huà)出平移得到的線段A2C2,并以它為一邊作一個(gè)格點(diǎn)A2B2C2,使A2B2=C2B2【考點(diǎn)】作圖-軸對(duì)稱變換;作圖-平移變換【分析】(1)利用軸對(duì)稱圖形的性質(zhì)得出對(duì)應(yīng)點(diǎn)位置進(jìn)而得出答案;(2)直接利用平移的性質(zhì)得出平移后對(duì)應(yīng)點(diǎn)位置進(jìn)而得出答案【解答】解:(1)如圖所示:A1B1C1,即為所求;(2)如圖所示:A2B2C2,即為所求【點(diǎn)評(píng)】此題主要考查了軸對(duì)稱變換以及平移變換,根據(jù)圖形的性質(zhì)得出對(duì)應(yīng)點(diǎn)位置是解題關(guān)鍵28在平面直角坐標(biāo)系中,ABC的頂點(diǎn)坐標(biāo)A(4,1),B(2,1),C(2,3)(1)作ABC關(guān)于y軸的對(duì)稱圖形A1B1C1;(2)將ABC向下平移4個(gè)單位長(zhǎng)度,作出平移后的A2B2C2;(3)求四邊形AA2B2C的面積【考點(diǎn)】作圖-軸對(duì)稱變換;作圖-平移變換【分析】(1)分別作出點(diǎn)A、B、C關(guān)于y軸的對(duì)稱的點(diǎn),然后順次連接;(2)分別作出點(diǎn)A、B、C向下平移4個(gè)單位長(zhǎng)度后的點(diǎn),然后順次連接;(3)根據(jù)梯形的面積公式求出四邊形AA2B2C的面積即可【解答】解:(1)(2)所作圖形如圖所示:;(3)四邊形AA2B2C的面積為:(4+6)2=10即四邊形AA2B2C的面積為10【點(diǎn)評(píng)】本題考查了根據(jù)平移變換和軸對(duì)稱變換作圖,解答本題的關(guān)鍵是根據(jù)網(wǎng)格結(jié)構(gòu)作出對(duì)應(yīng)點(diǎn),然后順次連接29在平面直角坐標(biāo)系中,已知點(diǎn)A(3,1),B(1,0),C(2,1),請(qǐng)?jiān)趫D中畫(huà)出ABC,并畫(huà)出與ABC關(guān)于y軸對(duì)稱的圖形【考點(diǎn)】作圖-軸對(duì)稱變換【專題】作圖題【分析】根據(jù)關(guān)于y軸對(duì)稱點(diǎn)的性質(zhì)得出A,B,C關(guān)于y軸對(duì)稱點(diǎn)的坐標(biāo),進(jìn)而得出答案【解答】解:如圖所示:DEF與ABC關(guān)于y軸對(duì)稱的圖形【點(diǎn)評(píng)】此題主要考查了軸對(duì)稱變換,得出對(duì)應(yīng)點(diǎn)坐標(biāo)是解題關(guān)鍵30如圖,ABC與DEF關(guān)于直線l對(duì)稱,請(qǐng)僅用無(wú)刻度的直尺,在下面兩個(gè)圖中分別作出直線l【考點(diǎn)】作圖-軸對(duì)稱變換【專題】作圖題【分析】根據(jù)軸對(duì)稱的性質(zhì),對(duì)應(yīng)邊所在直線的交點(diǎn)一定在對(duì)稱軸上,圖1過(guò)點(diǎn)A和BC與EF的交點(diǎn)作直線即為對(duì)稱軸直線l;圖2,延長(zhǎng)兩組對(duì)應(yīng)邊得到兩個(gè)交點(diǎn),然后過(guò)這兩點(diǎn)作直線即為對(duì)稱軸直線l【解答】解:如圖所示【點(diǎn)評(píng)】本題考查了利用軸對(duì)稱變換作圖,熟記對(duì)應(yīng)邊所在直線的交點(diǎn)一定在對(duì)稱軸上是解題的關(guān)鍵第20頁(yè)(共20頁(yè))- 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