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1、第4章 圖形與坐標(biāo)一、選擇題(共15小題)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如圖,在3×3的正方形網(wǎng)格中由四個(gè)格點(diǎn)A,B,C,D,以其中一點(diǎn)為原點(diǎn),網(wǎng)格線所在直線為坐標(biāo)軸,建立平面直角坐標(biāo)系,使其余三個(gè)點(diǎn)中存在兩個(gè)點(diǎn)關(guān)于一條坐標(biāo)軸對(duì)稱,則原點(diǎn)是()AA點(diǎn)BB點(diǎn)CC點(diǎn)DD點(diǎn)4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)

2、C(1,2)D(2,1)5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)6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)7如圖,把RtABC放在直角坐標(biāo)系內(nèi),其中CAB=90°,BC=5,點(diǎn)A、B的坐標(biāo)分別為(1,0)、(4,0)將ABC沿x軸向右平移,當(dāng)點(diǎn)C落在直線y=2x6上時(shí),線段BC掃過(guò)的面積為()A4B8C16D88在平面直角坐標(biāo)系中,將點(diǎn)P(3,2)向右平移2個(gè)單位,所得的點(diǎn)的坐標(biāo)是()A(1,2)B(3,0)C(3,4)D(5,2)9如圖,在平面直角坐標(biāo)系中,將點(diǎn)M(

3、2,1)向下平移2個(gè)單位長(zhǎng)度得到點(diǎn)N,則點(diǎn)N的坐標(biāo)為()A(2,1)B(2,3)C(0,1)D(4,1)10如圖,在平面直角坐標(biāo)系中,正三角形OAB的頂點(diǎn)B的坐標(biāo)為(2,0),點(diǎn)A在第一象限內(nèi),將OAB沿直線OA的方向平移至OAB的位置,此時(shí)點(diǎn)A的橫坐標(biāo)為3,則點(diǎn)B的坐標(biāo)為()A(4,2)B(3,3)C(4,3)D(3,2)11如圖,在平面直角坐標(biāo)系中,ABC的頂點(diǎn)都在方格紙的格點(diǎn)上,如果將ABC先向右平移4個(gè)單位長(zhǎng)度,再向下平移1個(gè)單位長(zhǎng)度,得到A1B1C1,那么點(diǎn)A的對(duì)應(yīng)點(diǎn)A1的坐標(biāo)為()A(4,3)B(2,4)C(3,1)D(2,5)12在平面直角坐標(biāo)系中,已知點(diǎn)A(2,3),則點(diǎn)A關(guān)于

4、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)13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)14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)15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(共15小題)16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17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18已知點(diǎn)P(3,a)關(guān)于y軸的對(duì)稱點(diǎn)為Q(b,2),則ab=19若點(diǎn)M(3,a)關(guān)于y軸的對(duì)稱

5、點(diǎn)是點(diǎn)N(b,2),則(a+b)2014=20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21點(diǎn)A(3,0)關(guān)于y軸的對(duì)稱點(diǎn)的坐標(biāo)是22點(diǎn)P(2,1)關(guān)于x軸對(duì)稱的點(diǎn)P的坐標(biāo)是23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24點(diǎn)P(2,3)關(guān)于x軸的對(duì)稱點(diǎn)P的坐標(biāo)為25點(diǎn)P(3,2)關(guān)于y軸對(duì)稱的點(diǎn)的坐標(biāo)是26點(diǎn)P(1,2)關(guān)于y軸對(duì)稱的點(diǎn)的坐標(biāo)為27點(diǎn)A(3,2)關(guān)于x軸的對(duì)稱點(diǎn)A的坐標(biāo)為28點(diǎn)P(2,3)關(guān)于x軸的對(duì)稱點(diǎn)的坐標(biāo)為29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=30已知P(1,2),則點(diǎn)P關(guān)于x軸的對(duì)稱點(diǎn)的坐標(biāo)

6、是第4章 圖形與坐標(biāo)參考答案與試題解析一、選擇題(共15小題)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

7、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如圖,在3×3的正方形網(wǎng)格中由四個(gè)格點(diǎn)A,B,C,D,以其中一點(diǎn)為原點(diǎn),網(wǎng)格線所在直線為坐標(biāo)軸,建立平面直角坐標(biāo)系,使其余三個(gè)點(diǎn)中存在兩個(gè)點(diǎn)關(guān)于一條坐標(biāo)軸對(duì)稱,則原點(diǎn)是()AA點(diǎn)BB點(diǎn)CC點(diǎn)DD點(diǎn)【考點(diǎn)】關(guān)于x軸、y軸對(duì)稱的點(diǎn)的坐標(biāo);坐標(biāo)確定位置【分析】以每個(gè)點(diǎn)為原點(diǎn),確定其余三個(gè)點(diǎn)

8、的坐標(biāo),找出滿足條件的點(diǎn),得到答案【解答】解:當(dāng)以點(diǎn)B為原點(diǎn)時(shí),A(1,1),C(1,1),則點(diǎn)A和點(diǎn)C關(guān)于y軸對(duì)稱,符合條件,故選:B【點(diǎn)評(píng)】本題考查的是關(guān)于x軸、y軸對(duì)稱的點(diǎn)的坐標(biāo)和坐標(biāo)確定位置,掌握平面直角坐標(biāo)系內(nèi)點(diǎn)的坐標(biāo)的確定方法和對(duì)稱的性質(zhì)是解題的關(guān)鍵4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)

9、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)5(2013珠海)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6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(

10、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7如圖,把RtABC放在直角坐標(biāo)系內(nèi),其中CAB=90°,BC=5,點(diǎn)A、B的坐標(biāo)分別為(1,0)、(4,0)將ABC沿x軸向右平移,當(dāng)點(diǎn)C落在直線y=2x6上時(shí),線段BC掃過(guò)的面積為()A4B8C16D8【

11、考點(diǎn)】坐標(biāo)與圖形變化-平移;一次函數(shù)圖象上點(diǎn)的坐標(biāo)特征【分析】根據(jù)題意,線段BC掃過(guò)的面積應(yīng)為一平行四邊形的面積,其高是AC的長(zhǎng),底是點(diǎn)C平移的路程求當(dāng)點(diǎn)C落在直線y=2x6上時(shí)的橫坐標(biāo)即可【解答】解:如圖所示點(diǎn)A、B的坐標(biāo)分別為(1,0)、(4,0),AB=3CAB=90°,BC=5,AC=4AC=4點(diǎn)C在直線y=2x6上,2x6=4,解得 x=5即OA=5CC=51=4SBCCB=4×4=16 (面積單位)即線段BC掃過(guò)的面積為16面積單位故選:C【點(diǎn)評(píng)】此題考查平移的性質(zhì)及一次函數(shù)的綜合應(yīng)用,解決本題的關(guān)鍵是明確線段BC掃過(guò)的面積應(yīng)為一平行四邊形的面積8在平面直角坐標(biāo)

12、系中,將點(diǎn)P(3,2)向右平移2個(gè)單位,所得的點(diǎn)的坐標(biāo)是()A(1,2)B(3,0)C(3,4)D(5,2)【考點(diǎn)】坐標(biāo)與圖形變化-平移【分析】將點(diǎn)P(3,2)向右平移2個(gè)單位后,縱坐標(biāo)不變,橫坐標(biāo)加上2即可得到平移后點(diǎn)的坐標(biāo)【解答】解:將點(diǎn)P(3,2)向右平移2個(gè)單位,所得的點(diǎn)的坐標(biāo)是(3+2,2),即(5,2)故選D【點(diǎn)評(píng)】本題考查了坐標(biāo)與圖形變化平移,掌握平移中點(diǎn)的變化規(guī)律:橫坐標(biāo)右移加,左移減;縱坐標(biāo)上移加,下移減是解題的關(guān)鍵9如圖,在平面直角坐標(biāo)系中,將點(diǎn)M(2,1)向下平移2個(gè)單位長(zhǎng)度得到點(diǎn)N,則點(diǎn)N的坐標(biāo)為()A(2,1)B(2,3)C(0,1)D(4,1)【考點(diǎn)】坐標(biāo)與圖形變化

13、-平移【分析】將點(diǎn)M(2,1)向下平移2個(gè)單位長(zhǎng)度后,橫坐標(biāo)不變,縱坐標(biāo)減去2即可得到平移后點(diǎn)N的坐標(biāo)【解答】解:將點(diǎn)M(2,1)向下平移2個(gè)單位長(zhǎng)度得到點(diǎn)N,則點(diǎn)N的坐標(biāo)為(2,12),即(2,1)故選A【點(diǎn)評(píng)】本題考查了坐標(biāo)與圖形變化平移,掌握平移中點(diǎn)的變化規(guī)律:橫坐標(biāo)右移加,左移減;縱坐標(biāo)上移加,下移減是解題的關(guān)鍵10如圖,在平面直角坐標(biāo)系中,正三角形OAB的頂點(diǎn)B的坐標(biāo)為(2,0),點(diǎn)A在第一象限內(nèi),將OAB沿直線OA的方向平移至OAB的位置,此時(shí)點(diǎn)A的橫坐標(biāo)為3,則點(diǎn)B的坐標(biāo)為()A(4,2)B(3,3)C(4,3)D(3,2)【考點(diǎn)】坐標(biāo)與圖形變化-平移;等邊三角形的性質(zhì)【分析】作

14、AMx軸于點(diǎn)M根據(jù)等邊三角形的性質(zhì)得出OA=OB=2,AOB=60°,在直角OAM中利用含30°角的直角三角形的性質(zhì)求出OM=OA=1,AM=OM=,則A(1,),直線OA的解析式為y=x,將x=3代入,求出y=3,那么A(3,3),由一對(duì)對(duì)應(yīng)點(diǎn)A與A的坐標(biāo)求出平移規(guī)律,再根據(jù)此平移規(guī)律即可求出點(diǎn)B的坐標(biāo)【解答】解:如圖,作AMx軸于點(diǎn)M正三角形OAB的頂點(diǎn)B的坐標(biāo)為(2,0),OA=OB=2,AOB=60°,OM=OA=1,AM=OM=,A(1,),直線OA的解析式為y=x,當(dāng)x=3時(shí),y=3,A(3,3),將點(diǎn)A向右平移2個(gè)單位,再向上平移2個(gè)單位后可得A,將

15、點(diǎn)B(2,0)向右平移2個(gè)單位,再向上平移2個(gè)單位后可得B,點(diǎn)B的坐標(biāo)為(4,2),故選A【點(diǎn)評(píng)】本題考查了坐標(biāo)與圖形變化平移,在平面直角坐標(biāo)系中,圖形的平移與圖形上某點(diǎn)的平移相同平移中點(diǎn)的變化規(guī)律是:橫坐標(biāo)右移加,左移減;縱坐標(biāo)上移加,下移減也考查了等邊三角形的性質(zhì),含30°角的直角三角形的性質(zhì)求出點(diǎn)A的坐標(biāo)是解題的關(guān)鍵11如圖,在平面直角坐標(biāo)系中,ABC的頂點(diǎn)都在方格紙的格點(diǎn)上,如果將ABC先向右平移4個(gè)單位長(zhǎng)度,再向下平移1個(gè)單位長(zhǎng)度,得到A1B1C1,那么點(diǎn)A的對(duì)應(yīng)點(diǎn)A1的坐標(biāo)為()A(4,3)B(2,4)C(3,1)D(2,5)【考點(diǎn)】坐標(biāo)與圖形變化-平移【分析】根據(jù)平移規(guī)

16、律橫坐標(biāo),右移加,左移減;縱坐標(biāo),上移加,下移減進(jìn)行計(jì)算即可【解答】解:由坐標(biāo)系可得A(2,6),將ABC先向右平移4個(gè)單位長(zhǎng)度,在向下平移1個(gè)單位長(zhǎng)度,點(diǎn)A的對(duì)應(yīng)點(diǎn)A1的坐標(biāo)為(2+4,61),即(2,5),故選:D【點(diǎn)評(píng)】此題主要考查了坐標(biāo)與圖形的變化平移,關(guān)鍵是掌握點(diǎn)的坐標(biāo)的變化規(guī)律12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

17、(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13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14點(diǎn)A(1,2)關(guān)于x軸對(duì)稱的點(diǎn)的坐標(biāo)是

18、()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15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=201

19、4,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15小題)16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17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

20、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)18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

21、: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19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20已知點(diǎn)

22、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21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)不變可以直接寫出答案【解答】解:點(diǎn)A(3,0)關(guān)于y軸的對(duì)稱點(diǎn)的坐

23、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22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23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

24、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24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

25、數(shù)25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)26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)27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

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