2018_2019学年八年级数学下册第十七章勾股定理17.1勾股定理第3课时利用勾股定理证明与作图练习(新版)新人教版.doc

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1、1第 3 课时 利用勾股定理证明与作图1如图 17129,图中小正方形的边长为 1, ABC 的周长为( )图 17129A16 B.124 2C77 D.5112 222018荆州为了比较 1 与 的大小,可以构造如图 17130 所示的图形5 10进行推算,其中 C90, BC3,点 D 在 BC 上,且 BD AC1.通过计算可得 1 5.(填 “” “”或“”)10图 171303在数轴上作出表示 的点1742018黄冈如图 17131,圆柱形玻璃杯高为 14 cm,底面周长为 32 cm,在杯内壁离杯底 5 cm 的点 B 处有一滴蜂蜜,此时一只蚂蚁正好在杯外壁,离杯上沿 3 cm

2、与蜂蜜相对的点 A 处,则蚂蚁从外壁 A 处到内壁 B 处的最短距离为 cm(杯壁厚度不计)2图 1713152018重庆如图 17132,把三角形纸片折叠,使点 B, C 都与点 A 重合,折痕分别为 DE, FG,得到 AGE30,若 AE EG2 cm,则 ABC 的边 BC 的长为 34 6 cm.3图 171326细心观察图 17133,认真分析各式,然后解答下列问题图 17133( )212, S1 ;112( )213, S2 ;222( )214, S3 ;332(1)请用含有 n(n 是正整数)的等式表示上述变化规律;(2)推算出 OA10的长;(3)求 S S S S 的值21 2 23 2103参考答案第 3 课时 利用勾股定理证明与作图【分层作业】1B 2. 3.略 4.20 5.4 636(1)( )21 n1, Sn (2) (3)nn2 10 554

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