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Консультация № 95127
14.07.2007, 12:39
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4
4
Уважаемые эксперты, ответьте пожалуйста: как с помощью 6-ти спичек построить 4 одинаковых треугольника, со стороной равной 1-ой спичке. желаю удачи!
Обсуждение
Неизвестный
14.07.2007, 12:54
общий
это ответ
Здравствуйте, Nance!
С помощью спичек надо построить правильный тетраэдр, его грани - 4 одинаковых треугольника со стороной равной 1-ой спичке.
С помощью спичек надо построить правильный тетраэдр, его грани - 4 одинаковых треугольника со стороной равной 1-ой спичке.
Неизвестный
14.07.2007, 13:20
общий
это ответ
Здравствуйте, Nance!
Ну, не знаю, как там насчёт тетраедра - его на плоскости не разместишь, но берём из 4-х спичек строим квадрат, а из оставшихся двух - диагонали. Теперь считаем все треугольники, которые 2-мя сторонами имеют сторону квадрата - их 4, и все одинаковы
Ну, не знаю, как там насчёт тетраедра - его на плоскости не разместишь, но берём из 4-х спичек строим квадрат, а из оставшихся двух - диагонали. Теперь считаем все треугольники, которые 2-мя сторонами имеют сторону квадрата - их 4, и все одинаковы
Неизвестный
14.07.2007, 18:21
общий
это ответ
Здравствуйте, Nance!
На плоскости Вы не сможете этого построить. Это нужно делать в пространстве. Если нарисуете правильный тетраэдр, то вместо ребер нужно подставить спички - вот вам и 4 одинаковых треугольника - грани тетраэдра.
вот например рисунок тетраэдра:
http://www.cultinfo.ru/fulltext/1/001/010/001/261898487.jpg
На плоскости Вы не сможете этого построить. Это нужно делать в пространстве. Если нарисуете правильный тетраэдр, то вместо ребер нужно подставить спички - вот вам и 4 одинаковых треугольника - грани тетраэдра.
вот например рисунок тетраэдра:
http://www.cultinfo.ru/fulltext/1/001/010/001/261898487.jpg
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