導(dǎo)學(xué)九年級(jí)下冊(cè)第六單元學(xué)案作業(yè)

課程導(dǎo)學(xué)第36講圖形變換與坐標(biāo)A夯實(shí)基礎(chǔ)1.在平面直角坐標(biāo)系中,點(diǎn)M(-3,2)關(guān)于x軸對(duì)稱(chēng)的點(diǎn)在()A．第一象限 B．第二象限C．第三象限D(zhuǎn)．第四象限2.如圖,在平面直角坐標(biāo)系中,以原點(diǎn)O為位似中心,將△ABO擴(kuò)大到原來(lái)的2倍,得到△A′B′O．若點(diǎn)A的坐標(biāo)是(1,2),則點(diǎn)A′的坐標(biāo)是()A.(2,4)B.(-1,-2)C.(-2,-4)D.(-2,-1)3.(2019臨沂)在平面直角坐標(biāo)系中,點(diǎn)P(4,2)關(guān)于直線x=1的對(duì)稱(chēng)點(diǎn)的坐標(biāo)是________.4.如圖,已知△ABC.(1)AC的長(zhǎng)等于_________;(2)若將△ABC向右平移2個(gè)單位長(zhǎng)度得到△A′B′C′,則A點(diǎn)的對(duì)應(yīng)點(diǎn)A′的坐標(biāo)是__________；(3)若將△ABC繞點(diǎn)C按順時(shí)針?lè)较蛐D(zhuǎn)90°后得到△A1B1C1,則A點(diǎn)對(duì)應(yīng)點(diǎn)A1的坐標(biāo)是__________.5.在平面直角坐標(biāo)系中,△ABC的三個(gè)頂點(diǎn)的坐標(biāo)分別是A(-2,3),B(-4,-1),C(2,0),將△ABC平移至△A1B1C1的位置,點(diǎn)A,B,C的對(duì)應(yīng)點(diǎn)分別是A1,B1,C1,若點(diǎn)A1的坐標(biāo)為(3,1),則點(diǎn)C1的坐標(biāo)為_(kāi)_________.6.如圖,在平面直角坐標(biāo)系中,△ABC的三個(gè)頂點(diǎn)坐標(biāo)為A(1,-4),B(3,-3),C(1,-1).(每個(gè)小方格都是邊長(zhǎng)為一個(gè)單位長(zhǎng)度的正方形)(1)將△ABC沿y軸方向向上平移5個(gè)單位長(zhǎng)度,畫(huà)出平移后得到的△A1B1C1；(2)將△ABC繞點(diǎn)O順時(shí)針旋轉(zhuǎn)90°畫(huà)出旋轉(zhuǎn)后得到的△A2B2C2,并直接寫(xiě)出點(diǎn)A旋轉(zhuǎn)到點(diǎn)A2所經(jīng)過(guò)的路徑長(zhǎng).B提升能力7.在平面直角坐標(biāo)系中,把點(diǎn)P(-5,3)向右平移8個(gè)單位長(zhǎng)度得到點(diǎn)P1,再將點(diǎn)P1繞原點(diǎn)旋轉(zhuǎn)90°得到點(diǎn)P2,則點(diǎn)P2的坐標(biāo)是()A.(3,-3)B.(-3,3)C.(3,3)或(-3,-3)D.(3,-3)或(-3,3)8.如圖,直線y=-x+4與x軸、y軸分別交于A,B兩點(diǎn),把△AOB繞點(diǎn)A順時(shí)針旋轉(zhuǎn)90°后得到△AO′B′,則點(diǎn)B′的坐標(biāo)是__________.9．如圖,在矩形ABCD中,AD=3,將矩形ABCD繞點(diǎn)A逆時(shí)針旋轉(zhuǎn)得到矩形AEFG,點(diǎn)B的對(duì)應(yīng)點(diǎn)E落在CD上,且DE=EF,則AB的長(zhǎng)為_(kāi)________.10．如圖,正比例函數(shù)y=kx與反比例函數(shù)y=6x的圖象有一個(gè)交點(diǎn)A(2,m),AB⊥x軸于點(diǎn)B,平移直線y=kx使其經(jīng)過(guò)點(diǎn)B,得到直線l,則直線l對(duì)應(yīng)的函數(shù)解析式是____________.C擴(kuò)展思維11.如圖,將含有30°角的直角三角板ABC放入平面直角坐標(biāo)系,頂點(diǎn)A,B分別落在x,y軸的正半軸上,∠OAB＝60°點(diǎn)A的坐標(biāo)為(1,0),將三角板ABC沿x軸向右作無(wú)滑動(dòng)的滾動(dòng)(先繞點(diǎn)A按順時(shí)針?lè)较蛐?/p>