(本題滿分9分)如圖,在中,,,把邊長分別為的個正方形依次放入中,請回答下列問題:
(1)按要求填表
(2)第個正方形的邊長 ;
(3)若是正整數(shù),且,試判斷的關(guān)系.
(1)······················································································· 6分
(2).························································································· 8分
(3)
····································································· 10分
.·············································································· 11分
.·················································································· 12分
【解析】略
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.(本題滿分5分)如圖一根木棒放在數(shù)軸上,木棒的左端與數(shù)軸上的點A重合,右端與點B重合.
1.若將木棒沿數(shù)軸向右水平移動,則當(dāng)它的左端移動到B點時,它的右端在數(shù)軸上所對應(yīng)的數(shù)為20;若將木棒沿數(shù)軸向左水平移動,則當(dāng)它的右端移動到A點時,則它的左端在數(shù)軸上所對應(yīng)的數(shù)為5(單位:cm),由此可得到木棒長為 cm.
2.由題(1)的啟發(fā),請你借助“數(shù)軸”這個工具幫助小紅解決下列問題:
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(本題滿分10分)如圖,在平面直角坐標(biāo)系中,O為原點,每個小方格的邊長為1個單位長度.在第一象限內(nèi)有橫、縱坐標(biāo)均為整數(shù)的A、B兩點,且OA= OB=.
(1)寫出A、B兩點的坐標(biāo);
(2)畫出線段AB繞點O旋轉(zhuǎn)一周所形成的圖形,并求其面積(結(jié)果保留π).
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