File:NLC416-14jh006520-70460 高中平面解析幾何學.pdf

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高中平面解析幾何學   (Wikidata search (Cirrus search) Wikidata query (SPARQL)  Create new Wikidata item based on this file)
Author
余介石編著
image of artwork listed in title parameter on this page
Title
高中平面解析幾何學
Publisher
正中書局[發行者]
Description

目錄
第一章 緒論
1 解析幾何學的定義
2 解析幾何學的目的與應用
3 向量
4 軸
5 沙爾定理
6 由坐標定二點距離法
習題一
7 角
8 射影
9 射影第一定理
10 射影第二定理
習題二
第二章 坐標，幾何量的解析表示
11 坐標
12 笛氏坐標
13 象限
習題三
14 向量在坐標軸上的射影
15 二點間的距離
16 定比分點
17 定比分點定理
習題四
18 斜角與斜率
19 斜率定理
20 平行與垂直條件
21 二直線交角的公式
習題五
22 面積正負的規定
23 三角形面積公式
24 多角形面積求法
25 解析〓〓法
習題六
第三章 軌跡和方程式
26 方程式與軌跡
27 解析幾何學中基本問題
28 第一基本問題
29 第二基本問題
習題七
30 方程式的討論
31 截距
32 對稱
33 代數曲線的對稱性
34 曲線的範圍
35 曲線在有限平面內的情形
習題八
36 曲線在無窮邊處的情形，漸近線
37 水平與垂直漸近線求法
38 聯立方程式圖解交點
習題九
第四章 直線
39 直線方程式的次數，斜截式
40 一次方程式的軌跡，普通式
41 直線的作圖，截距式
42 高次方程式表數條直線的情形
習題十
43 點斜式
44 兩點式
45 法線式
習題十一
46 化普通式〓法線式法
47 自直線至一點的距離
48 分角線
習題十二
49 三直線共點條件
50 直線系
51 過兩直線交點的直線系
52 二條件定一直線
習題十三
第五章 圓
53 圓的普通方程式
54 二次方程式與圓
55 三條件定一圓
習題十四
56 圓的切線長
57 等冪軸
58 等冪
習題十五
59 圓系
60 共軸圓系
習題十六
第六章 二次錐線
61 本章目的
62 拋物線定義和最簡式
63 拋物線發性質
64 拋物線作圖法
習題十七
65 橢圓定義和最簡式
66 橢圓的特性
67 方程式ax2+by2（a與b同號）與橢圓
68 橢圓的作圖
習題十八
69 變曲線的定義和最簡式
70 變曲線特性
71 變曲線的作圖
72 變曲線的斜漸近線
73 軛支曲線，等軸支曲線
習題十九
74 二次錐線系
75 共焦點的二次錐線系
76 二次錐線的意義
77 二次錐線的又一定義
習題二十

Language Chinese
Publication date 民國三十五年[1946]
Source
institution QS:P195,Q732353
(民國時期文獻 民國圖書)
館藏信息
InfoField
MG/G634.65/11
主題
InfoField
平面幾何
中圖分類
InfoField
G634.65
載體形態
InfoField
127頁

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