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Kanazawa Institute of Technology KIT���w�i�r�Q�[�V���� KIT�i�P�C�A�C�e�B�j�͋���H�Ƒ�w�̃u�����h�l�[���ł��B ���z�[�� ����@�̃q���g �������W ��JSXGraph ����I ����A ����II ����B ����III ����C ��new YouTube���� ���O�p�� ������ ���ϕ� �����f�� ���� ���� ���x�N�g�� ���m�� ������ ���s�� ���w��/�ΐ� �����Ǝ� �����̑� ���Δ��� ���d�ϕ� ������������ �������W�J �����`�㐔 �����v���X�ϊ� ������ ���H�w ��STEM ���`���b�g�{�b�g �֘A����y�[�W������ɂ͂��̃O���t�}�𗘗p���Ă��������D �ȗ� �Ȑ��̋Ȃ����������ʂ��ȗ� &＃x03BA; �ł���D�Ȑ���̓_�`����ɉ����� &＃x0394;s �ړ����_�a�ɒB�����Ƃ���D�_�`�ł̈ړ������Ɠ_�a�ł̈ړ������̊p�x�̕ω��ʂ� &＃x0394;&＃x03B8; �Ƃ���D�p�x�̕ω��͐i�s�����ɑ��č����i�����v���j�ɕω�����ꍇ�𐳂Ƃ���D�ȗ� &＃x03BA; �� &＃x03BA;= lim &＃x0394;s&＃x2192;0 &＃x0394;&＃x03B8; &＃x0394;s �ƒ�`�����D���Ȃ킿�C�ȗ� &＃x03BA; �͋Ȑ���̓_�̈ړ������Ɋւ���i�s�ړ������̕ω����ł���D �Ȑ��� y=f(x) �ŕ\�����ꍇ�C�Ȑ���̓_ ( x A ,f( x A ) ) �ɂ�����ȗ� &＃x03BA; �� &＃x03BA;= f &＃x2033; ( x A ) [ 1+ { f&＃x2032; ( x A ) } 2 ] 3 2 �ƂȂ�D ���o �_A�ł̈ړ�������P�ʃx�N�g���ŕ\�������̂� e &＃x2192; A �C�_B�ł̈ړ�������P�ʃx�N�g���ŕ\�������̂� e &＃x2192; B �Ƃ��C x ���� e &＃x2192; A �̂Ȃ��p�� &＃x03B8; A �C x ���� e &＃x2192; B �̂Ȃ��p�� &＃x03B8; B �Ƃ���D &＃x0394;&＃x03B8;= &＃x03B8; B &＃x2212; &＃x03B8; A tan&＃x0394;&＃x03B8;=tan( &＃x03B8; B &＃x2212; &＃x03B8; A ) ���ڊ��̉��@�藝��� = tan &＃x03B8; B &＃x2212;tan &＃x03B8; A 1+tan &＃x03B8; B tan &＃x03B8; A tan &＃x03B8; A = f &＃x2032; ( x A ),tan &＃x03B8; B = f &＃x2032; ( x B ) ��� = f &＃x2032; ( x B ) &＃x2212; f &＃x2032; ( x A ) 1 + f &＃x2032; ( x B ) f &＃x2032; ( x A ) �t���ڊ���p�����, &＃x0394;&＃x03B8;= tan &＃x2212;1 f &＃x2032; ( x B )&＃x2212; f &＃x2032; ( x A ) 1+ f &＃x2032; ( x B ) f &＃x2032; ( x A ) tan &＃x2212;1 x �̃}�N���[�����W�J tan &＃x2212;1 x=x&＃x2212; 1 3 x 3 + 1 5 x 5 &＃x2212;&＃x22EF; ��� = f &＃x2032; ( x B )&＃x2212; f &＃x2032; ( x A ) 1+ f &＃x2032; ( x B ) f &＃x2032; ( x A ) &＃x2212; 1 3 ( f &＃x2032; ( x B )&＃x2212; f &＃x2032; ( x A ) 1+ f &＃x2032; ( x B ) f &＃x2032; ( x A ) ) 3 + 1 5 ( f &＃x2032; ( x B )&＃x2212; f &＃x2032; ( x A ) 1+ f &＃x2032; ( x B ) f &＃x2032; ( x A ) ) 5 &＃x2212;&＃x22EF; ���,�ϕ��̕��ϒl�̒藝��� f( x C )= 1 x B &＃x2212; x A &＃x222B; x A x B f( x ) dx 1+ { f &＃x2032; ( x C ) } 2 = 1 x B &＃x2212; x A &＃x222B; x A x B 1+ { f &＃x2032; ( x ) } 2 dx �����藧����� &＃x0394; s = &＃x222B; x A x B 1 + { f &＃x2032; ( x ) } 2 dx = 1 + { f &＃x2032; ( x C ) } 2 ( x B − x A ) &＃x0394;s&＃x2192;0 �̂Ƃ� x B &＃x2192; x A �ƂȂ�B ����ċȗ�K��, K= lim &＃x0394;s&＃x2192;0 &＃x0394;&＃x03B8; &＃x0394;s = lim x B &＃x2192; x A 1 1+ { f &＃x2032; ( x C ) } 2 ( x B &＃x2212; x A ) { f &＃x2032; ( x B )&＃x2212; f &＃x2032; ( x A ) 1+ f &＃x2032; ( x A ) f &＃x2032; ( x B ) &＃x2212; 1 3 ( f &＃x2032; ( x B )&＃x2212; f &＃x2032; ( x A ) 1+ f &＃x2032; ( x A ) f &＃x2032; ( x B ) ) 3 + 1 5 ( f &＃x2032; ( x B )&＃x2212; f &＃x2032; ( x A ) 1+ f &＃x2032; ( x A ) f &＃x2032; ( x B ) ) 5 &＃x2212;&＃x22EF; } = lim x B &＃x2192; x A 1 1+ { f &＃x2032; ( x C ) } 2 ( x B &＃x2212; x A ) &＃x22C5; f &＃x2032; ( x B )&＃x2212; f &＃x2032; ( x A ) 1+ f &＃x2032; ( x A ) f &＃x2032; ( x B ) { 1&＃x2212; 1 3 ( f &＃x2032; ( x B )&＃x2212; f &＃x2032; ( x A ) 1+ f &＃x2032; ( x A ) f &＃x2032; ( x B ) ) 2 + 1 5 ( f &＃x2032; ( x B )&＃x2212; f &＃x2032; ( x A ) 1+ f &＃x2032; ( x A ) f &＃x2032; ( x B ) ) 4 &＃x2212;&＃x22EF; } x B &＃x2192; x A �̂Ƃ� x C &＃x2192; x A �܂�,�����̒�`��� lim x B &＃x2192; x A f &＃x2032; ( x B )&＃x2212; f &＃x2032; ( x A ) 1+ f &＃x2032; ( x A ) f &＃x2032; ( x B ) =0 lim x B &＃x2192; x A f &＃x2032; ( x B )&＃x2212; f &＃x2032; ( x A ) x B &＃x2212; x A = f &＃x2033; ( x A ) �����藧�� ����� k= 1 1+ { f &＃x2032; ( x A ) } 2 &＃x22C5; 1 1+ f &＃x2032; ( x A )&＃x22C5; f &＃x2032; ( x A ) &＃x22C5; f &＃x2033; ( x A ) = f &＃x2033; ( x A ) [ 1+ { f &＃x2032; ( x A ) } 2 ] 3 2 �z�[��>>�J�e�S���[����>>����>>�ȗ� �ŏI�X�V���F2023�N5��25�� [�y�[�W�g�b�v] ���p�K�� google translate (English version)
