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Задача 1
MN - диаметр окружности. Дуга NK на 120∘ больше дуги KM. Дуга NE равна 70∘.Найдите градусную меру дуги EK. ответ запишите в градусах.

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Ответ:
samsianna2003
samsianna2003
04.07.2021 22:50
В треугольнике ABC угол C равен 90°, AB = АС•√2, BC = 6. Найдите высоту CН.
По т.Пифагора АВ²=АС²+ВС²
АВ²-АС²=ВС²
Примем АС=а. Тогда гипотенуза АВ=а√2. 
2а²-а²=36⇒
а=√36=6 
a√2=6√2
АС=ВС - треугольник равнобедренный. В равнобедренном треугольнике высота, проведенная к основанию, совпадает с медианой. 
В равнобедренном прямоугольном треугольнике высота из прямого угла=0,5 гипотенузы ( по свойству медианы из прямого угла). 
СН =(6√2):2=3√2

Иногда эту высоту требуется записать в ответе как √2CH. Тогда, так как √2•3•√2=6, в ответе пишется 6.
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Ответ:
0661246726
0661246726
28.04.2022 02:38
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