Через точку М проведены касательные МК и МЕ к окружности с центром в точке О, где К и Е - точки касания, угол ОМК=30 градусов, угол МК= 6 см. Найдите длину хорды КЕ.
6 см.
МК = МЕ (по свойству касательных к окружности, проведенных из одной точки)
Углы ОМК и ОМЕ равны, т.к. отрезок ОМ соединяет центр окружности с общей точкой касательных. А значит, угол ОМЕ также равен 30 градусам, и треугольник МЕК равносторонний со стороной 6 см.
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Read the text and look carefully at each line. Some of the lines are correct, and some have a word which should not be there. If a line is correct, put a tick (V), if a line has a word which should not be there, write the word.
A CROW AND A JUG
(1)___One hot day a crow wanted some water to drink. It was far from the river (2)___and the crow didn’t want to fly there at for a drink. It flew round and round (3)___but could not to see any water. At last it saw a big jug near the house. The (4)___crow flew down to the jug. It looked into it. There was a little of water in (5)___the jug. The crow put its head into the jug but couldn’t get the water. The (6)___crow flew into the air, then it flew down on the jug. It has wanted to break (7)___it. But the jug was strong. It could not be break it. The crow could not fly (8)___any more. It sat down to rest. It thought and thought. The crow saw some (9)___small stones on the ground. It had an idea. It took a stone and had put it (10)__into the jug. Then another and another. The water came higher and every (11)__time the stone fell into the jug. Soon the water came very high. The crow (12)__ put its head into the jug and had a drink at the last.
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