File:NLC416-08jh013806-38344 高中解析幾何學.pdf

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高中解析幾何學   (Wikidata search (Cirrus search) Wikidata query (SPARQL)  Create new Wikidata item based on this file)
Author
李蕃編
image of artwork listed in title parameter on this page
Title
高中解析幾何學
Publisher
開明書店[發行者]
Description

目錄
第一章 向量射影
向量
向量之坐標
角
射影
第二章 笛卡兒坐標，幾何量之解析
笛卡兒坐標
直角坐標
二點之距離
傾斜及斜度
分點及中點
三角形之面積
三點共線之條件
第三章 軌跡與方程式
定義
求合於定條件之點之軌跡之方程式
求作方程式之軌跡
方程式之討論
作圖之例
軌跡之交點
第四章 直線
直線之方程式
點斜度式
二點式
截距式
法線式
化一般方程式為法線式
自直線至一點之距離
二直線之交角
二直線平行與垂直之條件
三直線共點之條件
二次方程式之代表二直線者
經過二直線之交點之直線方程式
直線系
第五章 圓
圓之方程式
圓之一般方程式
圓之切線
直線與圓相切之條件
切線之長
圓之法線
三條件定一圓
正交圓
圓系
等轓軸
第六章 圓錐曲線
圓錐曲線
拋物線
拋物線之作法
拋物線之切線
直線與拋物線相切之條件
拋物線之法線
拋物線上切線與法線之性質
拋物線之徑
橢圓
橢圓之作法
橢圓之又一定義
橢圓之切線
直線與橢圓相切之條件
橢圓之法線
橢圓之切線與法線之性質
橢圓之徑
橢圓之共軛徑
橢圓之面積
雙曲線
雙曲線之作法
雙曲線之又一定義
雙曲線之切線
雙曲線之法線
雙曲線之徑
雙曲線之共軛徑
漸近線
共軛雙曲線
正雙曲線
圓橢曲線之一般定義
圓錐曲線系
同焦點圓錐曲線
第七章 坐標軸之變換
定義
軸之平移
軸之迴轉
軸之移轉
方程式由軸之變換而簡化
坐標軸之變換與方程式之次數
不變量
第八章 一般二次方程式
一般二次方程式之簡化
一般二次方程式之軌跡
圓錐曲線之中心
二次方程式之軌跡之作法
二次方程式之軌跡之直接作法
降級圓錐曲線系
五點定一圓錐曲線
軌跡問題
第九章 極坐標
極坐標
極坐標方程式之作圖
軌跡之交點
直角坐標與極坐標之變換
直線之極坐標方程式
圓之極坐標方程式
圓錐曲線之極坐標方程式
第十章 高次平面曲線
高次平面曲線
參數方程式
指數曲線
對數曲線
三角函數之曲線
反三角函數之曲線
擺線
外擺線
內擺線
弓形線
蔓葉線
變紐線
康可線
蝸牛線，心臟線
螺線
第十一章 極與極線，反形
調和比
極線
極
極與極線之性質
極與極線之作法
反形變換
反形變換式
軌跡之反形
二軌跡之反形之性質
反形器
附錄
代數曲線之切線
次切線及次法線
代數曲線之漸近線
軌跡無窮遠枝之情形
軌跡性狀之討論
附表
中英名詞對照及索引

Language Chinese
Publication date 民國30[1941]
Source
institution QS:P195,Q732353
(民國時期文獻 民國圖書)
主題
InfoField
解析幾何
中圖分類
InfoField
G634.65
載體形態
InfoField
276頁

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