GeoGebra Bible
 |
Description
Book Introduction
GeoGebra was developed by Professor Markus Hohenvater1 in 2001, and the number of GeoGebra users increased, mainly in Europe and the United States, but GeoGebra remained untranslated into Korean until 2008.
I happened to learn about GeoGebra in the fall of 2008 and was fascinated by the program. Since then, I have been responsible for the Korean translation of GeoGebra.
The motivation for starting to translate GeoGebra's user interface and official documentation into Korean was simple curiosity, but now, unlike back then, I feel a bit more responsibility.
This is because GeoGebra is attracting the attention of many mathematics educators in our country.
GeoGebra's biggest feature can be summed up in one word: free.
In English, the word "Free" means "free" and "gratuitous." As the word suggests, GeoGebra is free for anyone to use to explore mathematics, and is provided free of charge for this purpose.
In that sense, Professor Markus Hohenvater licensed GeoGebra as open source free software.2 Another feature of GeoGebra is its ease of use.
GeoGebra has a simple interface, allows you to input mathematical formulas as they are, and all commands are in Korean, so even users who are new to GeoGebra can easily learn how to use it.
GeoGebra also has built-in features5 that allow you to explore a variety of mathematical areas4, so once you master the software, you can explore a variety of mathematical problems.
This book is the fourth edition of the GeoGebra Bible, written to help you explore mathematics and science and create various materials using GeoGebra Web Edition.
In this revised edition, we have tried to present the content more concisely than in the previous edition.
We also added examples that can be used in university lectures.
In this process, some content was marked as footnotes or deleted.
However, we tried to include almost all of the contents of the previous edition regarding the usage of GeoGebra and mathematical content.
I hope this book will help readers explore mathematics using GeoGebra.
I happened to learn about GeoGebra in the fall of 2008 and was fascinated by the program. Since then, I have been responsible for the Korean translation of GeoGebra.
The motivation for starting to translate GeoGebra's user interface and official documentation into Korean was simple curiosity, but now, unlike back then, I feel a bit more responsibility.
This is because GeoGebra is attracting the attention of many mathematics educators in our country.
GeoGebra's biggest feature can be summed up in one word: free.
In English, the word "Free" means "free" and "gratuitous." As the word suggests, GeoGebra is free for anyone to use to explore mathematics, and is provided free of charge for this purpose.
In that sense, Professor Markus Hohenvater licensed GeoGebra as open source free software.2 Another feature of GeoGebra is its ease of use.
GeoGebra has a simple interface, allows you to input mathematical formulas as they are, and all commands are in Korean, so even users who are new to GeoGebra can easily learn how to use it.
GeoGebra also has built-in features5 that allow you to explore a variety of mathematical areas4, so once you master the software, you can explore a variety of mathematical problems.
This book is the fourth edition of the GeoGebra Bible, written to help you explore mathematics and science and create various materials using GeoGebra Web Edition.
In this revised edition, we have tried to present the content more concisely than in the previous edition.
We also added examples that can be used in university lectures.
In this process, some content was marked as footnotes or deleted.
However, we tried to include almost all of the contents of the previous edition regarding the usage of GeoGebra and mathematical content.
I hope this book will help readers explore mathematics using GeoGebra.
index
Preface iii
Chapter 1 GeoGebra 3
1.1 GeoGebra.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 3
1.2 Official website.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
4
1.3 Execution screen.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 5
1.4 Login.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
7
1.5 Open .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 7
1.6 Save online.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
8
1.7 Save as ggb file.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 10
1.8 Toolbox .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
10
1.9 Input help .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 11
1.10 Configuration Step Window.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 11
1.11 Configuration Step Navigation Bar.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 12
Chapter 2 Graphs of Functions 15
2.1 Points and Coordinates.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
15
2.2 Graph of the function.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
15
2.3 Graph of composite function.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 19
2.4 Graph of implicit functions.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
20
2.5 Graph of the curve.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
20
2.6 Graph of a function defined on a restricted interval.
. .
. .
. .
. .
. .
. .
. .
. .
20
2.7 Graph of a function whose equation changes depending on the interval.
. .
. .
. .
. .
. .
. .
. .
22
2.8 Graph of periodic function.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 23
2.9 Graphs in polar coordinates.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
24
2.10 Trace Tools and Commands.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
27
2.11 Function related commands.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 32
2.12 Function Manager.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 36
2.13 Domain of inequalities.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
37
2.14 Extreme .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 40
Chapter 3 Animation 43
3.1 Slider.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 43
3.2 Animation Example .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
44
3.3 Points and animations on the path.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
47
3.4 Path parameter command.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 47
3.5 point command.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
48
Chapter 4 CAS 51
4.1 Cell number.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
52
4.2 CAS specific tools.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 55
4.3 CAS-only commands.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 58
Chapter 5 Differentiation and Integration 69
5.1 Tangent tools and commands.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
69
5.2 Differentiation Commands.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
71
5.3 Implicit function differentiation command.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
73
5.4 Parametric differentiation command.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 73
5.5 Differentiation related commands.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 74
5.6 Integration Commands.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
79
5.7 Integral difference command.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 80
5.8 Integration related commands.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 81
5.9 Vector field commands.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 84
5.10 Trace drawing command.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
85
5.11 Differential equation solving commands.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
86
5.12 Laplace command.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
90
Chapter 6 Sequences 91
6.1 List .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
91
6.2 List related commands.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
92
6.3 List operations.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 94
6.4 Sorting elements.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
96
6.5 Element Manipulation.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
97
6.6 Function sequence and iteration example.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 104
Chapter 7 Vectors 113
7.1 Vectors.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 113
7.2 Vector related tools.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 114
7.3 Vector instructions.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
114
7.4 Basic operations on vectors.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
116
7.5 Vector related commands.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 117
Chapter 8 Linear Algebra 121
8.1 Matrix.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 121
8.2 Basic operations on matrices.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
123
8.3 Matrix related commands.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 124
8.4 Diagonalization of matrices.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
128
8.5 Matrix application command.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
129
Chapter 9 Geometry 137
9.1 Construction.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 137
9.2 Conic Section (Quadratic) Tool.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
149
9.3 Ellipse Commands.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
151
9.4 Hyperbolic Commands .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 152
9.5 Parabolic Commands .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 153
9.6 Symmetry tool.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
153
9.7 Conversion Tools .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
156
Chapter 10 Creating User Tools 159
10.1 Creating a tool.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 159
Chapter 11 Discrete Mathematics 171
11.1 Permutation Commands.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
171
11.2 Combination Commands.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
171
11.3 Minimum spanning tree command.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
172
11.4 Traveling Salesperson Order.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
173
11.5 Delaunay triangulation command.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
174
11.6 Voronoi command.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
175
11.7 Shortest distance command.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
177
Chapter 12 Spreadsheet Window 181
12.1 Spreadsheet window.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
181
12.2 Features of the spreadsheet window.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
182
12.3 Spreadsheet-specific tools.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
183
12.4 Spreadsheet Window Example .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 184
Chapter 13 Statistics 189
13.1 Univariate Analysis Tools.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
189
13.2 Bivariate Regression Analysis Tools.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 197
13.3 Multivariate Analysis Tools.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
201
13.4 Probability Calculator Tool.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
203
Chapter 14: Non-Face-to-Face Remote Lectures 207
14.1 Classroom Materials.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
207
14.2 Download the ggb file of the data.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 208
14.3 Creating data.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 209
14.4 Creating a book.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
210
14.5 Sharing materials as links.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
211
14.6 Publishing Materials.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
212
14.7 Creating a class.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
213
14.8 Online Q&A.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
215
Search 217
Chapter 1 GeoGebra 3
1.1 GeoGebra.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 3
1.2 Official website.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
4
1.3 Execution screen.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 5
1.4 Login.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
7
1.5 Open .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 7
1.6 Save online.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
8
1.7 Save as ggb file.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 10
1.8 Toolbox .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
10
1.9 Input help .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 11
1.10 Configuration Step Window.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 11
1.11 Configuration Step Navigation Bar.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 12
Chapter 2 Graphs of Functions 15
2.1 Points and Coordinates.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
15
2.2 Graph of the function.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
15
2.3 Graph of composite function.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 19
2.4 Graph of implicit functions.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
20
2.5 Graph of the curve.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
20
2.6 Graph of a function defined on a restricted interval.
. .
. .
. .
. .
. .
. .
. .
. .
20
2.7 Graph of a function whose equation changes depending on the interval.
. .
. .
. .
. .
. .
. .
. .
22
2.8 Graph of periodic function.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 23
2.9 Graphs in polar coordinates.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
24
2.10 Trace Tools and Commands.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
27
2.11 Function related commands.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 32
2.12 Function Manager.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 36
2.13 Domain of inequalities.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
37
2.14 Extreme .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 40
Chapter 3 Animation 43
3.1 Slider.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 43
3.2 Animation Example .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
44
3.3 Points and animations on the path.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
47
3.4 Path parameter command.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 47
3.5 point command.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
48
Chapter 4 CAS 51
4.1 Cell number.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
52
4.2 CAS specific tools.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 55
4.3 CAS-only commands.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 58
Chapter 5 Differentiation and Integration 69
5.1 Tangent tools and commands.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
69
5.2 Differentiation Commands.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
71
5.3 Implicit function differentiation command.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
73
5.4 Parametric differentiation command.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 73
5.5 Differentiation related commands.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 74
5.6 Integration Commands.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
79
5.7 Integral difference command.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 80
5.8 Integration related commands.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 81
5.9 Vector field commands.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 84
5.10 Trace drawing command.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
85
5.11 Differential equation solving commands.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
86
5.12 Laplace command.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
90
Chapter 6 Sequences 91
6.1 List .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
91
6.2 List related commands.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
92
6.3 List operations.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 94
6.4 Sorting elements.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
96
6.5 Element Manipulation.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
97
6.6 Function sequence and iteration example.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 104
Chapter 7 Vectors 113
7.1 Vectors.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 113
7.2 Vector related tools.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 114
7.3 Vector instructions.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
114
7.4 Basic operations on vectors.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
116
7.5 Vector related commands.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 117
Chapter 8 Linear Algebra 121
8.1 Matrix.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 121
8.2 Basic operations on matrices.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
123
8.3 Matrix related commands.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 124
8.4 Diagonalization of matrices.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
128
8.5 Matrix application command.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
129
Chapter 9 Geometry 137
9.1 Construction.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 137
9.2 Conic Section (Quadratic) Tool.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
149
9.3 Ellipse Commands.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
151
9.4 Hyperbolic Commands .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 152
9.5 Parabolic Commands .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 153
9.6 Symmetry tool.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
153
9.7 Conversion Tools .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
156
Chapter 10 Creating User Tools 159
10.1 Creating a tool.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 159
Chapter 11 Discrete Mathematics 171
11.1 Permutation Commands.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
171
11.2 Combination Commands.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
171
11.3 Minimum spanning tree command.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
172
11.4 Traveling Salesperson Order.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
173
11.5 Delaunay triangulation command.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
174
11.6 Voronoi command.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
175
11.7 Shortest distance command.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
177
Chapter 12 Spreadsheet Window 181
12.1 Spreadsheet window.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
181
12.2 Features of the spreadsheet window.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
182
12.3 Spreadsheet-specific tools.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
183
12.4 Spreadsheet Window Example .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 184
Chapter 13 Statistics 189
13.1 Univariate Analysis Tools.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
189
13.2 Bivariate Regression Analysis Tools.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 197
13.3 Multivariate Analysis Tools.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
201
13.4 Probability Calculator Tool.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
203
Chapter 14: Non-Face-to-Face Remote Lectures 207
14.1 Classroom Materials.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
207
14.2 Download the ggb file of the data.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 208
14.3 Creating data.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. 209
14.4 Creating a book.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
210
14.5 Sharing materials as links.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
211
14.6 Publishing Materials.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
212
14.7 Creating a class.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
213
14.8 Online Q&A.
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
. .
215
Search 217
GOODS SPECIFICS
- Date of issue: May 31, 2022
- Page count, weight, size: 220 pages | 188*257*20mm
- ISBN13: 9791191346381
- ISBN10: 1191346382
You may also like
카테고리
korean
korean
![ELLE 엘르 스페셜 에디션 A형 : 12월 [2025]](http://librairie.coreenne.fr/cdn/shop/files/b8e27a3de6c9538896439686c6b0e8fb.jpg?v=1766436872&width=3840)
