First, multiple choice questions
1. If, then ()
A.B. C. D。
2. If, then ()
A.B. C. D。
3. The tangent equation of the curve at point (0,2) is ().
A.B. C. D。
4. The normal equation of the curve at point (0,2) is ()
A.B. C. D。
5.( )
A.B. C. D。
6. Set a function, and then = ()
65438 BC
7. The function has () inflection points.
A 1 B 2 C 4 D 0
8. At that time, the following function had a restriction ().
A.B. C. D。
9. As we all know ().
A. BC 1
10. If it is, it is () in the interval.
A. Minimum B. Maximum C. Minimum D. Maximum
1 1. Let the function be differentiable in the upper part and then in the inner part ().
A. there are at least two zeros. B. there is only one zero.
C. there is no zero. The number of zeros cannot be determined.
12.( ).
A.B. C. D。
13. Known, then (c)
A.B. C. D。
14.=( B)
A.B. C. D。
15. (4)
A.B. C. D。
16.( )
A.B. C. D。
17. Set the function, and then = ()
65438 BC
18. The inflection point coordinate of the curve is ()
A.(0，0) B.( 1， 1) C.(2，2) D.(3，3)
19. Known, then (1)
A.B. C. D。
20. (1)
A.B. C. D。
2 1. (1)
A.B. C. D。
Two, integral (8 points per question, ***80 points)
1. Go ahead.
2. Ask.
3. Ask.
ask
5. beg.
6. Find definite integral.
7. calculation.
8. beg.
9. beg.
1 1. Seek
12. Seek
13. Seek
14. Looking for
Third, answer questions.
1. If, ask
2. Discuss the monotonicity of the function and find its monotonic interval.
3. Find out the discontinuity of the function and determine its type.
set up
5. Find the derivative of.
6. Find the derivative determined by the equation.
7. Is the function continuous?
8. Is the function differentiable?
9. Find the area of the figure surrounded by parabola and straight line.
10. Calculate the area of the graph enclosed by parabola and straight line.
1 1. Let be a function determined by an equation, and find.
12. Verification:
13. Let be a function determined by an equation, and find.
14. Discuss the monotonicity of a function and find its monotonic interval.
15. Verification:
16. Find the discontinuity of the function and determine its type.
Verb (abbreviation for verb) solves equations.
1. Find the general solution of the equation.
2. Find the general solution of the equation.
3. Find the special solution of the equation.
4. Find the general solution of the equation.
Senior one reviews the materials and refers to the answer.
First, multiple choice questions
1-5: DABAA
6- 10:DBCDD
1 1- 15: BCCBD
16-2 1:ABAAAA
Second, find the integral.
1. Go ahead.
Solution:
2. Ask.
Solution:
.
3. Ask.
Solution: Suppose, that is, then
.
ask
Solution:
.
5. beg.
Solution: From the above, so
.
6. Find definite integral.
Solution: make, that is, at that time, and at that time; At that time, then
.
7. calculation.
Solution: make, then, then, then.
.
Using the partial integral formula, we can get
.
8. beg.
Solution:
.
9. beg.
Solution: make, then, therefore there is.
1 1. Seek
Solution:
12. Seek
Solution:
13. Seek
Solution:
14. Looking for
Solution:
Third, answer questions.
1. If, ask
Solution: Because, so.
Otherwise, the restriction does not exist.
2. Discuss the monotonicity of the function and find its monotonic interval.
Solution:
allow
Therefore, it increases monotonously in the interval, decreases monotonously in the interval, and increases monotonously in the interval.
3. Find out the discontinuity of the function and determine its type.
Solution: The undefined point of the function is that this is the only discontinuous point.
Knowing is an interruption that can be eliminated.
set up
Solution:
therefore
5. Find the derivative of.
Solution: Take the logarithm of both sides of the original formula:
therefore
therefore
6. Find the derivative determined by the equation.
Solution: