{ "nbformat": 4, "nbformat_minor": 0, "metadata": { "colab": { "name": "2021031201.ipynb", "provenance": [], "collapsed_sections": [], "include_colab_link": true }, "kernelspec": { "name": "python3", "display_name": "Python 3" } }, "cells": [ { "cell_type": "markdown", "metadata": { "id": "view-in-github", "colab_type": "text" }, "source": [ "\"Open" ] }, { "cell_type": "markdown", "metadata": { "id": "_k5tMB9V9yTc" }, "source": [ "# [두 점 사이의 거리 구하기(Find the distance between two points)](https://min7014.github.io/math20210312001.html)\r\n" ] }, { "cell_type": "markdown", "metadata": { "id": "RN20_e8N93t2" }, "source": [ "### [참고]\r\n", "\r\n", "[Geogebra와 수학의 시각화](https://www.geogebra.org/m/gsARCQs5)" ] }, { "cell_type": "markdown", "metadata": { "id": "eF0DuRj6r6PN" }, "source": [ "**[영문버전]**" ] }, { "cell_type": "markdown", "metadata": { "id": "enkCoUZzAjo2" }, "source": [ 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)" ] }, { "cell_type": "markdown", "metadata": { "id": "CDAa7jDZs1Xl" }, "source": [ "01. Geogebra를 실행시킨다.\r\n", "\r\n", "02. 대수창에 오른쪽 방향 선택하면 아래방향으로 바뀌면서 추가메뉴가 나오고\r\n", "\r\n", " **첫번째 아래방향 --> Sort by --> Construction order**" ] }, { "cell_type": "markdown", "metadata": { "id": "V_oHd4TUs23J" }, "source": [ 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)" ] }, { "cell_type": "markdown", "metadata": { "id": "-0V1cJlS_Xnc" }, "source": [ " \r\n", "\r\n", "03. Input에\r\n", "\r\n", " **A=(1,2)**\r\n", "\r\n", " 입력하여 A라는 점을 만든다.\r\n", "\r\n", " \r\n", "\r\n", "04. Input에\r\n", "\r\n", " **B=(-2,-3)**\r\n", "\r\n", " 입력하여 B 라는 점을 만든다.\r\n", "\r\n", " \r\n", "\r\n", "05. Input에\r\n", "\r\n", " **c=Segment[A,B]**\r\n", "\r\n", " 입력하여 c 라는 선분을 만든다.\r\n", "\r\n", " \r\n", "\r\n", "06. Input에\r\n", "\r\n", " **l:x=x(A)**\r\n", "\r\n", " 입력하여 l 이라는 y 축에 평행하면서 점 A 을 지나는 직선을 만든다.\r\n", "\r\n", " x(A)의 뜻은 점 A 의 x좌표를 뜻한다.\r\n", "\r\n", " \r\n", "\r\n", "07. Input에\r\n", "\r\n", " **m:y=y(B)**\r\n", "\r\n", " 입력하여 m 이라는 x 축에 평행하면서 점 B을 지나는 직선을 만든다.\r\n", "\r\n", " x(B)의 뜻은 점 B 의 y좌표를 뜻한다.\r\n", "\r\n", " \r\n", "\r\n", "08. Input에\r\n", "\r\n", " **C=Intersect[l,m]**\r\n", "\r\n", " 입력하여 C 라는 l 과 m 의 교점을 만든다.\r\n", "\r\n", " \r\n", "\r\n", "09. Input에\r\n", "\r\n", " **SetVisibleInView[l,1,false]**\r\n", "\r\n", " 입력하여 l 직선이 보이지 않게 한다.\r\n", "\r\n", " \r\n", "\r\n", "10. Input에\r\n", "\r\n", " **SetVisibleInView[m,1,false]**\r\n", "\r\n", " 입력하여 m 직선이 보이지 않게 한다.\r\n", "\r\n", " \r\n", "\r\n", "11. Input에\r\n", "\r\n", " **a=Segment[B,C]**\r\n", "\r\n", " 입력하여 a 라는 선분을 만든다.\r\n", "\r\n", " \r\n", "\r\n", "12. Input에\r\n", "\r\n", " **b=Segment[C,A]**\r\n", "\r\n", " 입력하여 b 라는 선분을 만든다.\r\n", "\r\n", " \r\n", "\r\n", "13. Input에\r\n", "\r\n", " **BCLength=abs[x(A)-x(B)]**\r\n", "\r\n", " 입력하여 BCLength 라는 수를 만든다.\r\n", "\r\n", " abs[x(A)-x(B)]는 x(A)-x(B)의 절대값을 의미한다.\r\n", "\r\n", " x(A)-x(B)는 점 A의 x 좌표에서 점 B의 x 좌표를 뺀 것을 의미한다.\r\n", "\r\n", " \r\n", "\r\n", "14. Input에\r\n", "\r\n", " **CALength=abs[y(A)-y(B)]**\r\n", "\r\n", " 입력하여 CALength이 라는 수를 만든다.\r\n", "\r\n", " abs[y(A)-y(B)]는 y(A)-y(B)의 절대값을 의미한다.\r\n", "\r\n", " y(A)-y(B)는 점 A의 y 좌표에서 점 B의 y 좌표를 뺀 것을 의미한다.\r\n", "\r\n", " \r\n", "\r\n", " \r\n", "\r\n", " \r\n", "\r\n", "15. Input에\r\n", "\r\n", " **AngleC=Angle[A,C,B]**\r\n", "\r\n", " 입력하여 AngleC 라는 각을 만든다.\r\n", "\r\n", " 각 C가 직각이므로 삼각형 ABC는 직각 삼각형이다.\r\n", "\r\n", " \r\n", "\r\n", "16. Input에\r\n", "\r\n", " **ABLength=sqrt[CALength^2+BCLength^2]**\r\n", "\r\n", " 입력하여 ABLength 라는 수를 만든다.\r\n", "\r\n", " \r\n", "\r\n", "17. Geogebra 상단에 File, Edit, View, Options, Window, Help에서\r\n", "\r\n", " **Options --> Rounding --> 15 Decimal Places**\r\n", "\r\n", " ABLength는 소수점 15자리 이상 필요하다. 아마도 무리수일 것이다.\r\n", "\r\n", " \r\n", "\r\n", "18. Geogebra 상단에 File, Edit, View, Options, Window, Help에\r\n", "\r\n", " **View --> CAS**\r\n", " \r\n", "\r\n", "19. Cas 창에 1이라고 써있는 수옆 빈칸에\r\n", "\r\n", " **sqrt[CALength^2+BCLength^2]**\r\n", "\r\n", " 입력하고 [Enter]키를 누른다Length\r\n", " " ] }, { "cell_type": "markdown", "metadata": { "id": "sD_3X2FvrZk3" }, "source": [ "**[한글버전]**" ] }, { "cell_type": "markdown", "metadata": { "id": "6oD5FZzD_Qt-" }, "source": [ "![image.png](data:image/png;base64,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)" ] }, { "cell_type": "markdown", "metadata": { "id": "BL-gxodZWjld" }, "source": [ "01. Geogebra를 실행시킨다.\r\n", "\r\n", " \r\n", "\r\n", "02. 대수창에 오른쪽 방향 선택하면 아래방향으로 바뀌면서 추가메뉴가 나오고\r\n", "\r\n", " 첫번째 아래방향을 선택 --> 정렬기준 --> 구성순서를 선택한다." ] }, { "cell_type": "markdown", "metadata": { "id": "X44ozcRwWtFL" }, "source": [ "![image.png](data:image/png;base64,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)" ] }, { "cell_type": "markdown", "metadata": { "id": "Y9ku4Y0sWzwZ" }, "source": [ " \r\n", "\r\n", "03. 입력창에\r\n", "\r\n", " **A=(1,2)**\r\n", "\r\n", " 입력하여 A라는 점을 만든다.\r\n", "\r\n", " \r\n", "\r\n", "04. 입력창에\r\n", "\r\n", " **B=(-2,-3)**\r\n", "\r\n", " 입력하여 B 라는 점을 만든다.\r\n", "\r\n", " \r\n", "\r\n", "05. 입력창에\r\n", "\r\n", " **c=선분[A,B]**\r\n", "\r\n", " 입력하여 c 라는 선분을 만든다.\r\n", "\r\n", " \r\n", "\r\n", "06. 입력창에\r\n", "\r\n", " **l:x=x(A)**\r\n", "\r\n", " 입력하여 l 이라는 y 축에 평행하면서 점 A 을 지나는 직선을 만든다.\r\n", "\r\n", " x(A)의 뜻은 점 A 의 x좌표를 뜻한다.\r\n", "\r\n", " \r\n", "\r\n", "07. 입력창에\r\n", "\r\n", " **m:y=y(B)**\r\n", "\r\n", " 입력하여 m 이라는 x 축에 평행하면서 점 B을 지나는 직선을 만든다.\r\n", "\r\n", " x(B)의 뜻은 점 B 의 y좌표를 뜻한다.\r\n", "\r\n", " \r\n", "\r\n", "08. 입력창에\r\n", "\r\n", " **C=교점[l,m]**\r\n", "\r\n", " 입력하여 C 라는 l 과 m 의 교점을 만든다.\r\n", "\r\n", " \r\n", "\r\n", "09. 입력창에\r\n", "\r\n", " **보이기설정[l,1,false]**\r\n", "\r\n", " 입력하여 l 직선이 보이지 않게 한다.\r\n", "\r\n", " \r\n", "\r\n", "10. 입력창에\r\n", "\r\n", " **보이기설정[m,1,false]**\r\n", "\r\n", " 입력하여 m 직선이 보이지 않게 한다.\r\n", "\r\n", " \r\n", "\r\n", "11. 입력창에\r\n", "\r\n", " **a=선분[B,C]**\r\n", "\r\n", " 입력하여 c 라는 선분을 만든다.\r\n", "\r\n", " \r\n", "\r\n", "12. 입력창에\r\n", "\r\n", " **b=선분[C,A]**\r\n", "\r\n", " 입력하여 c 라는 선분을 만든다.\r\n", "\r\n", " \r\n", "\r\n", "13. 입력창에\r\n", "\r\n", " **BC길이=abs[x(A)-x(B)]**\r\n", "\r\n", " 입력하여 BC길이 라는 수를 만든다.\r\n", "\r\n", " abs[x(A)-x(B)]는 x(A)-x(B)의 절대값을 의미한다.\r\n", "\r\n", " x(A)-x(B)는 점 A의 x 좌표에서 점 B의 x 좌표를 뺀 것을 의미한다.\r\n", "\r\n", " \r\n", "\r\n", "14. 입력창에\r\n", "\r\n", " **CA길이=abs[y(A)-y(B)]**\r\n", "\r\n", " 입력하여 CA길이 라는 수를 만든다.\r\n", "\r\n", " abs[y(A)-y(B)]는 y(A)-y(B)의 절대값을 의미한다.\r\n", "\r\n", " y(A)-y(B)는 점 A의 y 좌표에서 점 B의 y 좌표를 뺀 것을 의미한다.\r\n", "\r\n", " \r\n", "\r\n", " \r\n", "\r\n", " \r\n", "\r\n", "15. 입력창에\r\n", "\r\n", " **각C=각[A,C,B]**\r\n", "\r\n", " 입력하여 각C 라는 각을 만든다.\r\n", "\r\n", " 각C가 직각이므로 삼각형 ABC는 직각 삼각형이다.\r\n", "\r\n", " \r\n", "\r\n", "16. 입력창에\r\n", "\r\n", " **AB길이=sqrt[CA길이^2+BC길이^2]**\r\n", "\r\n", " 입력하여 CA길이 라는 수를 만든다.\r\n", "\r\n", " \r\n", "\r\n", "17. Geogebra 상단에 파일, 편집, 보기, 선택사항, 도구, 원도우, 도움말에서\r\n", "\r\n", " **선택사항 --> 반올림 --> 15 소수점 아래 자리 선택**\r\n", "\r\n", " AB길이는 소수점 15자리 이상 필요하다. 아마도 무리수일 것이다.\r\n", "\r\n", " \r\n", "\r\n", "18. Geogebra 상단에 파일, 편집, 보기, 선택사항, 도구, 원도우, 도움말에\r\n", "\r\n", " **보기 --> CAS**\r\n", " \r\n", "\r\n", "19. Cas 창에 1이라고 써있는 수옆 빈칸에\r\n", "\r\n", " **sqrt[CA길이^2+BC길이^2]**\r\n", "\r\n", " 입력하고 [Enter]키를 누른다.\r\n", "\r\n", " " ] } ] }