Итоговый тест по теме Тригонометрия(10 класс)
Диагностика обученности учащихся 10-х классов
по теме «Тригонометрия»
Вариант 1
1. (1б) Упростите выражение (1+tg13 EMBED Equation.3 1415.
1) ctg13 EMBED Equation.3 1415; 2) tg13 EMBED Equation.3 1415; 3) 1; 4) cos13 EMBED Equation.3 1415.
2. (1б) Упростите выражение sin13 EMBED Equation.3 1415- cos13 EMBED Equation.3 1415+cos13 EMBED Equation.3 1415
1) 1; 2) sin13 EMBED Equation.3 1415; 3) sin13 EMBED Equation.3 1415 + 2 cos13 EMBED Equation.3 1415; 4) 0.
3. (1б) Вычислите 1-2 sin13 EMBED Equation.3 1415. 1) 13 EMBED Equation.3 1415; 2) 13 EMBED Equation.3 1415; 3) 13 EMBED Equation.3 1415; 4) 1.
4. (1б) Найдите cos 13 EMBED Equation.3 1415, если tg13 EMBED Equation.3 1415=-13 EMBED Equation.3 1415 и 13 EMBED Equation.3 1415- угол 4-ой четверти.
1) 13 EMBED Equation.3 1415; 2) -13 EMBED Equation.3 1415; 3) -13 EMBED Equation.3 1415; 4) 13 EMBED Equation.3 1415.
5. (1б) Укажите область значений функции у=1- cos13 EMBED Equation.3 1415х.
1) 13 EMBED Equation.3 1415; 2) 13 EMBED Equation.3 1415; 3) 13 EMBED Equation.3 1415; 4) 13 EMBED Equation.3 1415.
6. (1б) При каких значениях х функция у = tg(х-13 EMBED Equation.3 1415) не определена?
1) 13 EMBED Equation.3 1415; 13 EMBED Equation.3 1415; 2) 13 EMBED Equation.3 1415; n13 EMBED Equation.3 1415; 3) 13 EMBED Equation.3 1415; n13 EMBED Equation.3 1415; 4) 13 EMBED Equation.3 1415; n 13 EMBED Equation.3 1415.
7. (1б) Укажите промежутки возрастания функции у=sin 3x промежутке 13 EMBED Equation.3 1415.
1) 13 EMBED Equation.3 1415 2) 13 EMBED Equation.3 1415; 3)13 EMBED Equation.3 1415; 4) 13 EMBED Equation.3 1415.
8. (1б) Решите уравнение tg(x-13 EMBED Equation.3 1415)=-1
1) 13 EMBED Equation.3 1415;13 EMBED Equation.3 1415; 2) 13 EMBED Equation.3 1415;13 EMBED Equation.3 1415; 3) 13 EMBED Equation.3 1415;13 EMBED Equation.3 1415; 4) 13 EMBED Equation.3 1415;13 EMBED Equation.3 1415.
9. (2б) Упростите выражение 13 EMBED Equation.3 1415при х=13 EMBED Equation.3 1415.
10. (2б) Найдите значение выражения 2413 EMBED Equation.3 1415tg (arcsin 0,5).
11. (2б). Укажите количество корней уравнения 2(sin13 EMBED Equation.3 1415 на промежутке 13 EMBED Equation.3 1415.
12. (3б) Вычислите 2sin13 EMBED Equation.3 1415р, где р – корень уравнения 5sin13 EMBED Equation.3 1415 , лежащий в 1-ой четверти.
13.(3б) Решите уравнение (sinx+13 EMBED Equation.3 1415cosx)13 EMBED Equation.3 1415-5=cos(13 EM
·BED Equation.3 1415-x)
Диагностика обученности учащихся 10-х классов
по теме «Тригонометрия»
Вариант 2.
1. (1б) Упростите выражение 13 EMBED Equation.3 1415. 1) 1; 2) сtg13 EMBED Equation.3 1415; 3) tg13 EMBED Equation.3 1415; 4) 0.
2. (1б) Упростите выражение 13 EMBED Equation.3 1415.
1) tg13 EMBED Equation.3 1415; 2) ctg13 EMBED Equation.3 1415; 3) 13 EMBED Equation.3 1415; 4) sin13 EMBED Equation.3 1415.
3. (1б) Вычислите 2 cos13 EMBED Equation.3 1415-1. 1) 1; 2) 13 EMBED Equation.3 1415; 3) - 13 EMBED Equation.3 1415; 4) 0.
4. (1б) Известно, что tg 13 EMBED Equation.3 1415=2,4 и 13 EMBED Equation.3 1415 <13 EMBED Equation.3 1415 <13 EMBED Equation.3 1415 . Найдите sin13 EMBED Equation.3 1415.
1) 13 EMBED Equation.3 1415; 2) -13 EMBED Equation.3 1415; 3) 13 EMBED Equation.3 1415; 4) -13 EMBED Equation.3 1415.
5. (1б) Укажите область значений функции у= sin x cos x.
1) 13 EMBED Equation.3 1415; 2) 13 EMBED Equation.3 1415; 3) 13 EMBED Equation.3 1415; 4) 13 EMBED Equation.3 1415.
6. (1б) При каких значениях х функция у=13 EMBED Equation.3 1415не определена?
1) 13 EMBED Equation.3 1415; 13 EMBED Equation.3 1415; 2) 13 EMBED Equation.3 1415; 13 EMBED Equation.3 1415; 3) (-1)13 EMBED Equation.3 141513 EMBED Equation.3 1415; 13 EMBED Equation.3 1415; 4) (-1)13 EMBED Equation.3 141513 EMBED Equation.3 1415; 13 EMBED Equation.3 1415.
7. (1б) Укажите промежутки убывания функции у=-2х на промежутке 13 EMBED Equation.3 1415.
1) 13 EMBED Equation.3 1415; 2)13 EMBED Equation.3 1415; 3) 13 EMBED Equation.3 1415; 4) 13 EMBED Equation.3 1415.
8. (1б) Решите уравнение sin x= tg13 EMBED Equation.3 1415.
1) (-1)13 EMBED Equation.3 141513 EMBED Equation.3 1415, 13 EMBED Equation.3 1415; 2) (-1)13 EMBED Equation.3 141513 EMBED Equation.3 1415; 13 EMBED Equation.3 1415: 3) 13 EMBED Equation.3 1415;13 EMBED Equation.3 1415; 4) нет решений.
9. (2б) Упростите выражение 13 EMBED Equation.3 1415и найдите его значение при 13 EMBED Equation.3 1415=13 EMBED Equation.3 1415.
10. (2б) Найдите значение выражения 413 EMBED Equation.3 1415cos(arcctg1)
11. (2б). Укажите количество корней уравнения ctg13 EMBED Equation.3 1415 на промежутке 13 EMBED Equation.3 1415.
12. (3б) Найдите (13 EMBED Equation.3 1415+1)tgt, где t- наименьший корень уравнения 3sin13 EMBED Equation.3 1415=2 из 1-ой четверти.
13 (3б) Решите уравнение (13 EMBED Equation.3 1415sin x - cos x)13 EMBED Equation.3 1415+1= 4 cos(x+13 EMBED Equation.3 1415)
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