File:NLC416-17jh003194-109765 高中解析幾何教科書.pdf

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高中解析幾何教科書   (Wikidata search (Cirrus search) Wikidata query (SPARQL)  Create new Wikidata item based on this file)
Author
黃恭憲 郎好常編譯
image of artwork listed in title parameter on this page
Title
高中解析幾何教科書
Publisher
算學叢刻社[印行者]
Description

目錄
第一章 引用公式及表
1. 幾何代數及三角公式
2. 幾個特殊角之三角函數值
3. 三角函數之符號定則
4. 三角函數之值
5. 希臘字母
第二章 狄卡兒坐標
6. 解析幾何
7. 狄卡兒直角坐標
8. 有向線
9. 長
10. 定比分點
11. 坐標在幾何學上之應用
12. 斜角及斜率
13. 平行線或垂直線之證驗法
14. 二線交角
15. 面積
第三章 曲線與方程
16. 曲線之方程（點之軌跡）
17. 方程之軌跡
18. 方程之討論
19. 提綱
20. 水平及垂直漸近線
21. 軌跡交點
第四章 直線
22. 直線方程之次數
23. 一次方程之軌跡
24. 直線之描跡
25. 定點斜率式
26. 兩點式
27. 截部式
28. 三線共點之條件
29. 直線方程之法線式
30. 法線式之化成
31. 由線至點之距離
32. 直線系
33. 通過兩線交點之直線系
第五章 圓
34. 圓之方程
35. 圓方程之證驗法
36. 三條件決定一圓
37. 等冪軸
38. 切線之長
39. 圓系
第六章 拋物線 橢圓與雙曲線
40. 拋物線
41. 拋物線之作圖法
42. 拱形
43. 拋物線之描跡
44. 橢圓
45. 橢圓之作圖法
46. 橢圓之描跡
47. 特例
48. 雙曲線
49. 雙曲線之作圖法
50. 雙曲線之描跡
51. 配偶雙曲線及其漸近線
52. 等軸雙曲線或垂直雙曲線
53. 提綱
54. 圓錐割線
55. 圓錐割線系
第七章 坐標之變換
56. 引言
57. 平移法
58. 用平移法化簡方程
59. 定理
60. 圓錐割線之標準方程
61. 旋轉法
62. 用旋轉法化簡方程
63. 二次方程之軌跡
64. 二次方程軌跡之描跡
65. 特例，等軸（直角）雙曲線，等軸雙曲線之作圖法
66. 圓錐割線之第二定義
67. 變換坐標之通法
68. 軌跡之分類
第八章 切線
69. 切線之方程
70. 切線之一般定理
71. 法線之方程
72. 切影及法影
73. 指定斜率之切線
74. 過曲線外一點之切線
75. 指定斜率之切線諸公式
76. 圓錐割線之切線及法線諸性質
第九章 極坐標
77. 極坐標
78. 極坐標方程之描跡
79. 極坐標方程描跡之捷法
80. 直角坐標與極坐標之關係
81. 應用直線及圓
82. 圓錐割線之極坐標方程
83. 交點
84. 用極坐標之軌跡
第十章 超越曲線
85. 自然對數指數曲線與對數曲線
86. 正弦曲線
87. 周期性
88. 正弦曲線之描跡
89. 其他三角函數曲線
90. 縱坐標之和
91. 界限線
第十二章 襄變方程組與軌跡
92. 襄變方程組之描跡
93. 由襄變方程組化為直角坐標方程
94. 同一曲線之各式襄變方程組
95. 用襄變方程組解軌跡問題
96. 交點軌跡
97. 圓錐割線之直徑

Language Chinese
Publication date [1934]
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
290頁

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