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File:NLC416-14jh006215-70314 初級中學幾何.pdf

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初級中學幾何   (Wikidata search (Cirrus search) Wikidata query (SPARQL)  Create new Wikidata item based on this file)
Author
國立編譯館主編
image of artwork listed in title parameter on this page
Title
初級中學幾何
Publisher
正中書局[發行者]
Description

目錄
第一編 緒論
1 演繹證明的重要
2 定義和公理
3 證題的程序
4 幾個簡單定理的說明
練習題一
本編內容提要
第二編 幾個基本定理的證明和應用
5 本編的目的
6 對頂角定理
7 全等三角形定理一
8 兩全等圖形的對應部分
9 系
10 已經證明各定理的應用
練習題二
11 全等三角形定理二
12 等腰三角形定理一
13 輔助線
練習題三
14 全等三角形定理三
15 中垂線定理
練習題四
本編內容提要
第三編 幾種基本作圖法的證明和應用
16 解作圖題的程序
17 解作圖題時所許用的儀器
18 幾種基本作圖法的證明
19 基本作圖法一
20 基本作圖法二
21 基本作圖法的應用
練習題五
22 基本作圖法三
23 基本作圖法四
練習題六
24 基本作圖法五
25 基本作圖法六
練習題七
本編內容提要
第四編 同平面上兩直線的位置關係
練習題八
26 同平面上兩直線位置關係的種類
27 平行判定定理一
28 平行判定定理二
29 平行判定定理三
30 平行判定定理四
31 否定理
練習題九
32 平行性質定理一
33 間接證法
34 平行性質定理二
35 平行性質定理三
36 逆定理
練習題十
37 三直線平行定理
38 角邊平行定理一
39 角邊平行定理二
練習題十一
本編內容提要
第五編 三角形的初步研究
練習題十二
40 本編研究範圍
41 三角形內角和定理
練習題十三
42 三角形邊角關係定理一
43 三角形邊角關係定理二
44 三角形邊角關係定理三
練習題十四
45 三角形三邊關係定理一
46 三角形三邊關係定理二
練習題十五
47 非全等三角形定理一
48 非全等三角形定理二
練習題十六
49 三角形基本作圖題的研究
（1） 三角形基本作圖題一
（2） 三角形基本作圖題二
（3） 三角形基本作圖題三
（4） 三角形基本作圖題四
練習題十七
練習題十八
本編內容提要
第六編 四邊形和多角形
練習題十九
50 四邊形內角和定理
51 平行四邊形判定定理一
52 平行四邊形判定定理二
53 平行四邊形判定定理三
54 平行四邊形判定定理四
練習題二十
55 平行四邊形性質定理一
56 平行四邊形性質定理二
57 平行四邊形性質定理三
練習題二十一
58 平行四邊形全等定理
59 四邊形的基本定理及其應用
60 諸平行線間的等線段定理
61 三角形兩邊中點連接線段定理
62 梯形中線定理
63 分一線段成n等分法
練習題二十二
64 凸多邊形和凹多邊形
65 多角形內角和定理
66 多角形外角和定理
67 兩多角形全等定理
練習題二十三
本編內容提要
第七編 軌跡
練習題二十四
68 軌跡
69 研究軌跡的方法
70 軌跡定理一
71 軌跡定理二
練習題二十五
72 第一類軌跡題解法舉例
練習題二十六
本編內容提要
第八編 解析方法
練習題二十七
73 解析方法
74 解析證法
練習題二十八
75 作圖題的解析法
練習題二十九
本編內容提要

Language Chinese
Publication date 民國三十七年[1948]
Source
institution QS:P195,Q732353
(民國時期文獻 民國圖書)
館藏信息
InfoField
MG/G634.63/2
主題
InfoField
平面幾何
中圖分類
InfoField
G634.63
載體形態
InfoField
149頁

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