It happened in Vienna many years ago. Every evening an old man played the violin in one of the streets. People passed by and put some money into the man’s hat. One night it was very cold and rainy. The old musician was playing the violin near the door of a restaurant, but the people didn't stop to listen to him. Nobody gave him any money. He was very tired and hungry and couldn't play any longer. Suddenly a young man came up to him and asked, "Why did you stop playing?" The old man answered, "Nobody wants to listen to my music." The young man took his violin and began playing. He played so beautifully that very soon there were a lot of people around him. Everybody liked the music and put a lot of money into the old man's hat. Soon the hat was full of money. The old man wanted to thank the young man, but he could not find him. Nobody knew that he was the great Paganini.
Задание 1. 1Выберите подходящий по смыслу заголовок к тексту.
a) The great Paganini b) The musician and the violin c) The old musician
Задание 2. Какие предложения соответствуют содержанию текста (True), какие не соответствуют ( False). Обведите соответствующую букву.
1. Every morning an old man played the violin in one of the streets.
a) True b) False
2. The young man took his violin and began dancing.
a) True b) False
3. Nobody knew that he was the great Paganini.
a) True b) False
4. One night it was very hot and rainy.
a) True b) False
5. Everybody liked the music and put a lot of money into the old man's hat.
a) True b) False
Задание 3. ответьте на во по тексту полным ответом
1. What musical instrument did an old man play?
2. Where did people put money?
3. Why couldn't the old man play any longer?
4. How did the young man help the old musician?
5. What was the name of the young musician?
ответ: 1 (остроугольный).
Пусть в прямоугольном треугольникеАСВ угол В равен 30° Тогда другой его острый угол будет равен 60°.
Докажем, что катет АС равен половине гипотенузы АВ.
Продолжим катет АС за вершину прямого угла С и отложим отрезок СМ, равный отрезку АС. Точку М соединим с точкой В. Полученный треугольник ВСМ равен треугольнику АСВ .
Мы видим, что каждый угол треугольника АВМ равен 60°, следовательно, этот треугольник - равносторонний. Катет АС равен половине AM, а так как AM равняется АВ, то катет АС будет равен половине гипотенузы АВ.