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Консультация № 202423
23.03.2022, 14:32
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Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
На сторонах AB, BC и CA треугольника ABC отметили точки K, L и M соответственно так, что AL, BM и CK пересекаются в одной точке, причём сумма векторов AL, CK и BM равна 0. Докажите, что K, L и M — середины соответствующих сторон.
На сторонах AB, BC и CA треугольника ABC отметили точки K, L и M соответственно так, что AL, BM и CK пересекаются в одной точке, причём сумма векторов AL, CK и BM равна 0. Докажите, что K, L и M — середины соответствующих сторон.
Обсуждение
23.03.2022, 20:24
общий
Адресаты:
а вообще да Вы правы, что-то я тут сглупила, я посчитала, что у нас параллелограммы, а тут то этого не указано
Ладно, сейчас еще подумаю
Ладно, сейчас еще подумаю
23.03.2022, 22:03
общий
Адресаты:
я ошиблась в использовании сумму векторов через параллелограмм, поэтому расписала через треугольник, получили тоже самое равенство что и на первом фото, просто продолжите
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