점찍기, 행렬 입력하기
[b][size=200]1. 좌표평면에 세 점 O(0,0), P(1,3), Q(4,3)를 찍고, 삼각형 OPQ를 그려봅시다.[/size][/b][br][br]1) 점찍기[br]좌측 "대수"메뉴에서 +가 보이나요? 그 옆에 "입력"이라고 적힌 곳에 아래와 똑.같.이. 입력합니다. [br]O=(0,0)[br]P=(1,3)[br]Q=(4,3)[br]라고 입력합니다.[br][br]2) 삼각형 그리기[br]위의 메뉴 중 왼쪽에서 다섯번째에 있는 삼각형 모양을 클릭하면 "다각형" 또는 "polygon"이라는 메뉴를 선택합니다.[br]점 O->P->Q->O를 순서대로 클릭합니다.[br][br]다시 "대수" 메뉴로 돌아와서 t1=다각형(O,P,Q) 또는 t1=polygon(O,P,Q)라는 내용이 있는지 확인합니다.[br][br]
[size=200][b]2. 행렬을 입력해봅시다.[/b][/size][br]위의 지오지브라 화면에 [math]A=\left\{\left\{2,5\right\},\left\{1,4\right\}\right\}[/math]라고 입력해보세요.[br][br]행렬 [img]data:image/png;base64,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[/img]라고 입력된 것이 확인되나요?
[b][size=200]3. 행렬이 점 P를 어느 점으로 옮기는 지 봅시다. [/size][/b][br]좌측 대수창 +입력에 다음과 같이 입력해봅시다.[br][br]행렬적용(A,P)[br][br][br][br]한글 입력이 안되지요? [br][img]data:image/png;base64,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[/img][br]지금 123 이 보라색으로 선택되어 있습니다. 오른쪽에 ㄱㄴㄷ을 선택해보세요. 한글을 입력할 수 있어요.[br][br]혹은 영어로 ApplyMatrix(A,P)라고 입력해도 됩니다.[br][br]둘 중 어느 것이라도 좋습니다.
점 P는 행렬 A에 의해 어느 점으로 이동하였나요?[br]이동한 점 P'의 좌표를적어주세요.
[size=200][b]4. 삼각형 OPQ를 통채로 변환시켜봅시다.[br][size=100]행렬적용(A,t1)[br]ApplyMatrix(A,t1)[br][/size][/b][/size]이라고 입력해봅시다.[br][br]삼각형 OP'Q'이 보이나요?[br]이 삼각형은 원래 삼각형 OPQ가 행렬 A에 의해 변환된 것입니다.[br]보았다시피 행렬은 점을 다른 좌표로 이동시킬 수 있습니다. 이 때의 행렬을 "변환행렬"이라고 합니다.
1. y축의 방향으로 3배 늘리기
주어진 사각형 OABC의 모든 점의[math]y[/math]좌표를 3배로 바꾸어 도형을 변환시켜 보세요.