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唔該我想要 F.3 More About Dedutive Geomety o既 reasons[ ! ]
唔該哂大家..." 講到幾多得幾多* ths *
最佳解答:
以下這個網址包括所有中學會教到的Dedutive Geomety 的 reasons 寫法﹐誠為不可多得之作。 http://resource.puiching.edu.hk/pub/resource/697/GeometryTheoremAbbreviation.20030411135951.doc?PHPSESSID=0d3ed9cba28428326953c4fd855442e2 另外下面是其他網上找到的。 Basic Terms (基本資料): Given - 已知 Proved in (a) - 在(a)已證 By definition - 根據定義 Congruence (全等): SSS SAS ASA AAS RHS Common angle - 公共角 Common side - 公共邊 Corresponding angles, congruent triangles - 全等三角形的對應角 Corresponding sides, congruent triangles - 全等三角形的對應邊 Similarity (相似): AAA 3 sides propertional - 三邊成比例 Ratio of 2 sides, included angle - 兩邊成比例且夾角相等 Corresponding angles, similar triangles - 相似三角形的對應角 Corresponding sides, similar triangles - 相似三角形的對應邊 Straight lines and parallel lines (直線與平行線): Adjacent angles on straight line - 直線上的鄰角 Angles at a point - 同頂角 Vertical opposite angles - 對頂角 Corresponding angles, AB//CD - 同位角，AB//CD Alternate angles, AB//CD - 錯角，AB//CD Interior angles, AB//CD - 同旁內角，AB//CD Corresponding angles equal - 同位角相等 Alternate angles equal - 錯角相等 Interior angles supplementary - 同旁內角互補 Triangle and convex polygon (三角形及凸多邊形): Angle sum of triangle - 三角形內角和 Exterior angle of triangle - 三角形外角 Base angles of isosceles triangle - 等腰三角形底角 Side opposite angles equal - 等角對邊相等 Property of equilateral triangle - 等邊三角形性質 Angles sum of polygon - 多邊形內角和 Sum of exterior angles of polygon - 多邊形外角和 Pythagoras Theorem - 畢氏定理 Converse of Pythagoras Theorem - 畢氏定理的逆定理 Parallelogram (平行四邊形): Opposite sides of parallelogram - 平行四邊形對邊 Opposite angles of parallelogram - 平行四邊形對角 Diagonals of parallelogram - 平行四邊形對角線 Opposite sides equal - 對邊相等 Opposite angles equal - 對角相等 Diagonals bisect each other - 對角線互相平分 2 sides equal and parallel - 一組對邊相等且平行 Properties of rectangle - 長方形性質 Properties of square - 正方形性質 Properties of rhombus - 菱形性質 Ratios of lines (直線比例): Mid-point theorem - 中點定理 Intercept theorem - 截線定理 Equal ratios - 等比定理 Converse of equal ratios - 等比定理的逆定理 Perpendicular bisector theorem - 垂直平分線定理 Converse of Perpendicular bisector theorem - 垂直平分線定理的逆定理 Angle bisector theorem - 角平分線定理 Converse of Angle bisector theorem - 角平分線定理的逆定理 Circle (圓): Equal radii - 半徑 Equal arc, equal chord - 等弧對等弦 Equal chord, equal angle - 等弦對等角 Equal angle, equal arc - 等角對等弧 Equal chord, equal arc - 等弦對等弧 Equal angle, equal chord - 等角對等弦 Equal arc, equal angle - 等弧對等角 Arc proportional to angle at centre - 弧長與圓心角成比例 Arc proportional to angle at circumference - 弧長與圓周角成比例 Line from centre perpendicular to chord bisects chord - 圓心至弦的垂線平分弦 Line joining centre to mid-point of chord perpendicular to chord - 圓心至弦中點的連線垂直弦 Equal chord, equidistant from centre - 等弦與圓心等距 Chord, equidistant from centre are equal - 與圓心等距的弦等長 Angle in the semi-circle - 半圓上的圓周角 Angle at centre twice angle at circumference - 圓心角兩倍於圓周角 Angles in the same segment - 同弓形內的圓周角 Converse of Angles in the same segment - 同弓形內的圓周角的逆定理 Opposite angles, cyclic quadrilateral - 圓內接四邊形對角 Opposite angles, supplementary - 對角互補 Exterior angle, cyclic quadrilateral - 圓內接四邊形外角 Exterior angle is equal to interior opposite angle - 外角等於內對角 Tangent of circle (圓的切線): Tangent perpendicular to radius - 切線垂直半徑 Converse of Tangent perpendicular to radius - 切線垂直半徑的逆定理 Angle in alternate segment - 交錯弓形的圓周角 Converse of Angle in alternate segment - 交錯弓形的圓周角的逆定理 Tangent properties - 切線性質
其他解答:
十分詳盡，ths a lot!
唔該我想要 F.3 More About Dedutive Geomety o既 reasons[ ! ]
此文章來自奇摩知識+如有不便請留言告知
發問:唔該哂大家..." 講到幾多得幾多* ths *
最佳解答:
以下這個網址包括所有中學會教到的Dedutive Geomety 的 reasons 寫法﹐誠為不可多得之作。 http://resource.puiching.edu.hk/pub/resource/697/GeometryTheoremAbbreviation.20030411135951.doc?PHPSESSID=0d3ed9cba28428326953c4fd855442e2 另外下面是其他網上找到的。 Basic Terms (基本資料): Given - 已知 Proved in (a) - 在(a)已證 By definition - 根據定義 Congruence (全等): SSS SAS ASA AAS RHS Common angle - 公共角 Common side - 公共邊 Corresponding angles, congruent triangles - 全等三角形的對應角 Corresponding sides, congruent triangles - 全等三角形的對應邊 Similarity (相似): AAA 3 sides propertional - 三邊成比例 Ratio of 2 sides, included angle - 兩邊成比例且夾角相等 Corresponding angles, similar triangles - 相似三角形的對應角 Corresponding sides, similar triangles - 相似三角形的對應邊 Straight lines and parallel lines (直線與平行線): Adjacent angles on straight line - 直線上的鄰角 Angles at a point - 同頂角 Vertical opposite angles - 對頂角 Corresponding angles, AB//CD - 同位角，AB//CD Alternate angles, AB//CD - 錯角，AB//CD Interior angles, AB//CD - 同旁內角，AB//CD Corresponding angles equal - 同位角相等 Alternate angles equal - 錯角相等 Interior angles supplementary - 同旁內角互補 Triangle and convex polygon (三角形及凸多邊形): Angle sum of triangle - 三角形內角和 Exterior angle of triangle - 三角形外角 Base angles of isosceles triangle - 等腰三角形底角 Side opposite angles equal - 等角對邊相等 Property of equilateral triangle - 等邊三角形性質 Angles sum of polygon - 多邊形內角和 Sum of exterior angles of polygon - 多邊形外角和 Pythagoras Theorem - 畢氏定理 Converse of Pythagoras Theorem - 畢氏定理的逆定理 Parallelogram (平行四邊形): Opposite sides of parallelogram - 平行四邊形對邊 Opposite angles of parallelogram - 平行四邊形對角 Diagonals of parallelogram - 平行四邊形對角線 Opposite sides equal - 對邊相等 Opposite angles equal - 對角相等 Diagonals bisect each other - 對角線互相平分 2 sides equal and parallel - 一組對邊相等且平行 Properties of rectangle - 長方形性質 Properties of square - 正方形性質 Properties of rhombus - 菱形性質 Ratios of lines (直線比例): Mid-point theorem - 中點定理 Intercept theorem - 截線定理 Equal ratios - 等比定理 Converse of equal ratios - 等比定理的逆定理 Perpendicular bisector theorem - 垂直平分線定理 Converse of Perpendicular bisector theorem - 垂直平分線定理的逆定理 Angle bisector theorem - 角平分線定理 Converse of Angle bisector theorem - 角平分線定理的逆定理 Circle (圓): Equal radii - 半徑 Equal arc, equal chord - 等弧對等弦 Equal chord, equal angle - 等弦對等角 Equal angle, equal arc - 等角對等弧 Equal chord, equal arc - 等弦對等弧 Equal angle, equal chord - 等角對等弦 Equal arc, equal angle - 等弧對等角 Arc proportional to angle at centre - 弧長與圓心角成比例 Arc proportional to angle at circumference - 弧長與圓周角成比例 Line from centre perpendicular to chord bisects chord - 圓心至弦的垂線平分弦 Line joining centre to mid-point of chord perpendicular to chord - 圓心至弦中點的連線垂直弦 Equal chord, equidistant from centre - 等弦與圓心等距 Chord, equidistant from centre are equal - 與圓心等距的弦等長 Angle in the semi-circle - 半圓上的圓周角 Angle at centre twice angle at circumference - 圓心角兩倍於圓周角 Angles in the same segment - 同弓形內的圓周角 Converse of Angles in the same segment - 同弓形內的圓周角的逆定理 Opposite angles, cyclic quadrilateral - 圓內接四邊形對角 Opposite angles, supplementary - 對角互補 Exterior angle, cyclic quadrilateral - 圓內接四邊形外角 Exterior angle is equal to interior opposite angle - 外角等於內對角 Tangent of circle (圓的切線): Tangent perpendicular to radius - 切線垂直半徑 Converse of Tangent perpendicular to radius - 切線垂直半徑的逆定理 Angle in alternate segment - 交錯弓形的圓周角 Converse of Angle in alternate segment - 交錯弓形的圓周角的逆定理 Tangent properties - 切線性質
其他解答:
十分詳盡，ths a lot!
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