來(lái)源:網(wǎng)絡(luò)資源 2023-01-01 20:13:14
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( )
A.﹣1 B.1 C.2 D.3
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,1﹣b),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,并寫出點(diǎn)B1坐標(biāo);
(2)畫(huà)出△A1B1C1關(guān)于y軸對(duì)稱的△A2B2C2,并寫出點(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=C2B2.
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.
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.
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