File:NLC416-17jh003109-109697 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
余文琴編
image of artwork listed in title parameter on this page
Title
高中解析幾何學
Publisher
商務印書館[發行者]
Description

目錄
第一章 有向線段正射影點與座標
〔提要〕
1. 有向線段
2. 正射影
3. 兩點間之距離
4. 直線之線坡
5. 兩直線間之角
6. 兩點連線間之分點
7. 三角形之面積
〔例題〕
〔習題〕
第二章 曲線及方程式
〔提要〕
8. 曲線之方程式的定義
9. 求曲線之方程式之法則
10. 描已知方程式之軌跡的法則
11. 考察曲線性質之方法
12. 可分解之方程式
13. 求已知兩曲線之交點的法則
〔例題〕
〔習題〕
第三章 直線
〔提要〕
14. 與座標軸平行之直線的方程式
15. 通過兩點之直線的方程式
16. 通過一定點且有已知線坡之直線的方程式
17. 線坡截距式之方程式
18. 二直線間之交角
19. 直線之方程式的標準式
20. 化直線之一般方程式為標準式之方法
21. 求兩平行直線間距離之方法
22. 由一直線至一點之距離
23. 三直線會於一點之條件
24. 直線系
〔例題〕
〔習題〕
第四章 圓
〔提要〕
25. 圓之標準方程式
26. 圓之一般方程式
27. 圓之判別式
28. 二元二次方程式之一般形式
29. 圓之切線的方程式
30. 圓之法線的方程式
31. 接觸弦
32. 經過三點之圓
33. 圓系
34. 切線之長
35. 兩圓之交角
〔例題〕
〔習題〕
第五章 圓錐曲線
〔提要〕
36. 圓錐曲線之定義
37. 圓錐曲線之種類
38. 一般圓錐曲線之方程式
ⅰ. 拋物線
39. 拋物線之標準方程式
40. 拋物線之通徑
41. 拋物線之一般方程式
ⅱ. 橢圓
42. 橢圓之標準方程式
43. 橢圓之通徑
44. 橢圓之一般方程式
ⅲ. 雙曲線
45. 雙曲線之標準方程式
46. 雙曲線之通徑
47. 漸近線
48. 雙曲線之一般方程式
49. 共軛雙曲線
50. 雙曲線漸近線及共軛雙曲線之方程式間之關係
51. 正雙曲線
52. 拋物線為雙曲線之極限
53. 共焦點錐線
ⅳ. 切線與法線
54. 已知切點之切線的方程式
55. 已知線坡之切線之方程式
56. 法線之方程式
57. 次切線及次法線
58. 接觸弦
59. 直徑及共軛直徑
60. 圓錐曲線之特性
〔例題〕
〔習題〕
第六章 座標之變換
〔提要〕
61. 平行移軸法
62. 轉軸法
63. 用轉軸法消去xy項
64. 直角座標軸之一般變換
65. 一般二次曲線之種類的鑑別法
〔例題〕
〔習題〕
第七章 極座標
〔提要〕
66. 極座標之定義
67. 直角座標與極座標之關係
68. 直線關於極座標之方程式
69. 圓關於極座標之方程式
70. 圓錐曲線關於極座標之方程式
〔例題〕
〔習題〕
第八章 參數方程式及軌跡
〔提要〕
71. 定義
72. 作圖
73. 求參數方程式之要點
74. 用對應直線之交點確定軌跡之法則
〔例題〕
〔習題〕

Language Chinese
Publication date [1942]
Source
institution QS:P195,Q732353
(民國時期文獻 民國圖書)
主題
InfoField
解析幾何課
載體形態
InfoField
[204]頁

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current13:30, 12 June 2023Thumbnail for version as of 13:30, 12 June 2023685 × 1,033, 214 pages (3.57 MB)PencakeBot (talk | contribs)Upload 高中解析幾何學 (1/1) by 余文琴編 (batch task; nlc:data_416,17jh003109,109697; 民國圖書.10; 高中解析幾何學)

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