Synchronization test of the basic relationship between trigonometric function with arbitrary angle and trigonometric function with the same angle
1. Multiple choice questions (5 points for each question, ***60 points, please fill in the selected answers in brackets)
1. It is known that sine lines are equal to cosine lines with the same sign, so the value of is ().
A.B. C. D。
2. If it is the second quadrant angle, the value of is ().
A. positive value B. negative value C. zero D. uncertainty
3. The known value is ()
A.- 2 BC-
4. The range of the function is ()
A.{- 1, 1,3} B.{- 1, 1,-3} C.{- 1,3 } d . {-3 1 }
5. The coordinate of a point on the terminal edge of acute angle is called (then = ().
A.B.3 C.3- D.-3
6. If the terminal edge of the known angle is on the image of the function, the value of is ().
A.b.c. or d.
7. If the quadrant where the terminal edge of 2 is located is ()
A. first quadrant B. second quadrant C. third quadrant D. fourth quadrant
8. The size of the relationship is ()
A.B.
C.D.
9. It is called the interior angle of a triangle, so the shape of this triangle is ().
A. acute triangle B. obtuse triangle C. isosceles right triangle D. isosceles right triangle
10. If it is the first quadrant angle, it can be determined as a positive value ().
Above a.0b.1c.2d2.
1 1. The simplified value (that is, the third quadrant angle) is equal to ().
A.0 B.- 1 C.2 D.-2
12. If known, the value is ().
A.b-
C. or-D. All of the above are wrong.
Fill in the blanks (4 points for each small question, *** 16, please fill in the blanks for the answers)
13. Known rules.
14. The domain of the function is _ _ _ _ _ _ _ _.
15. If known, then = _ _ _ _ _.
16. Simplify.
Three. Solve the problem (74 points for this big question,17-21question, 22 questions 14).
known
Verification:
18. If yes, find the range of angles.
19. The points p and a () on the terminal edge of the angle are symmetrical about the axis, and the points q and a () on the terminal edge of the angle are symmetrical about the straight line. The value.
20. It's called identity. Find the values of a, b and C.
2 1 is known as two roots of the equation, and the terminal edges are perpendicular to each other.
22. Called the third quadrant angle, ask whether there is such a real number m, so that it is the two roots of the equation. If yes, count m realistically; if no, please explain the reason.
Reference answer
I. 1. C2 . D3 . D4 . D5 . C6 . C7 . c8 . C9 . b 10。 C 1 1。 A 12.C。
Two. 13. 14. 15. 16. 1
Three. 17. Because as we all know.
18. Left = right,
19. Because of p (,,,the original formula =- 1-.
20.,
Therefore.
2 1. rule,
In terms of understanding,
22. Suppose there is such a real number m, then
Thirdly, the solution of m=2 or m=
But the sum of 2 does not satisfy the above formula, so such m does not exist.
This is version a.