2018年秋七年级数学上册第4章直线与角4.6用尺规作线段与角同步练习(新版)沪科版.docx

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1、14.6 用尺规作线段与角知|识|目|标1经历用直尺和圆规作相等的线段的过程,会用尺规作线段的和、差、倍、分2通过用直尺和圆规作相等的角的过程,能利用尺规作角的和、差、倍、分目标一 会用尺规作线段的和、差、倍、分例 1 教材例 1 变式题如图 461,已知线段 m, n,求作线段 AB,使 AB2 m n.(用圆规、直尺作图,不写作法,但要保留作图痕迹)图 461【归纳总结】 尺规作图的基本步骤:一般有已知、求作、作法等已知中写已知条件,并画出已知图形;求作中写要作的图形及这个图形符合的条件(若题目有已知、求作,则不需再写);作法中写作图的过程,同时保留作图痕迹目标二 会用尺规作角的和、差或倍

2、数例 2 教材例 2 变式题如图 462,已知 , ,且 ,用尺规作 AOB,使得:(1) AOB ;(2) AOB2 .图 462【归纳总结】 作角的和、差、倍、分注意要点:先根据关于各角的代数式,确定作图的顺序,再利用尺规逐步完成2知识点 尺规作图几何中,通常用_和_来画图,这种画图的方法叫做尺规作图已知:如图 463, ABC, DEF.求作: GOH,使 GOH ABC DEF.图 463作法:(图略)作 POH ABC;作 GOP DEF,则 GOH 即为所求作的角(1)找错:第_步有错误;(2)纠错:3详解详析46 用尺规作线段与角【目标突破】例 1 解:如图,线段 AB 为所求例 2 解:如图所示(作法略)【总结反思】4小结知识点 没有刻度的直尺 圆规反思 (1)(2)作法:(图略)作POHABC;以 OP 为一边,在POH 的内部,作GOPDEF,则GOH 即为所求作的角

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