Diagnostic Test 2018.02.26
1.
4x2lim3 is x??x?10x(A) 0 (B)
5 (C) 1 (D) 4 (E) nonexistent 22. Iff(x)?2x，then f'(x)?？
(A)
14 (B) (C) xxx (D) 2x (E) 4x 3. If f(x)?x?1 for all x?1, then f'(1)? x?111(A) ?1 (B) ? (C) 0 (D) (E) 1
2224. The slope of the line tangent to the curve x?xy?10at x?2 is
(A) ?7237 (B) ?2 (C) (D) (E) 27225. If y is a function of x such that y'?0for all x and y''?0for all x，which of the following could be part of the
graph of y?f(x)?
6.
??x3?2x?dx?
242x4x4x42?2x?C (D) ?2x?C (E) ?x2?C (A) 3x?2?C (B) 4x?4x?C (C)
4437.
xxe?dx?
2(A) 8.
2221x212e?C (B) ex(2x2?1)?C (C) 2ex?C (D) ex?C (E) ex?1?C 22?xsinxdx?
(A) xcosx?sinx?C (B) xcosx?sinx?C (C) ?xcosx?sinx?C (D) xcosx?C (E)
12xcosx?C 2x9. The area of the region bounded by the linesx?0, x?1, andy?0 and the curve y?e is ?
(A) e?1 (B) 1?e (C) e (D) e?1 (E) none of above 10.
?10x13?ln2 (A) (B) (C) (D) (E) ln2 dx?(ln2?1)x2?1224Diagnostic Test Answer 2016.02.22
1.
4x2lim3 is x??x?10x(A) 0 (B)
5 (C) 1 (D) 4 (E) nonexistent 22. Iff(x)?2x，then f'(x)?？
(A)
14 (B) (C) xxx (D) 2x (E) 4x 3. If f(x)?x?1 for all x?1, then f'(1)? x?111(A) ?1 (B) ? (C) 0 (D) (E) 1
2224. The slope of the line tangent to the curve x?xy?10at x?2 is
(A) ?7237 (B) ?2 (C) (D) (E) 27225. If y is a function of x such that y'?0for all x and y''?0for all x，which of the following could be part of the
graph of y?f(x)?
6.
??x3?2x?dx?
242x4x4x42?2x?C (D) ?2x?C (E) ?x2?C (A) 3x?2?C (B) 4x?4x?C (C)
4437.
xxe?dx?
2(A) 8.
2221x212e?C (B) ex(2x2?1)?C (C) 2ex?C (D) ex?C (E) ex?1?C 22?xsinxdx?
(A) xcosx?sinx?C (B) xcosx?sinx?C (C) ?xcosx?sinx?C (D) xcosx?C (E)
12xcosx?C 2x9. The area of the region bounded by the linesx?0, x?1, andy?0 and the curve y?e is ?
(A) e?1 (B) 1?e (C) e (D) e?1 (E) none of above 10.
?10x13?ln2 (A) (B) (C) (D) (E) ln2 dx?(ln2?1)x2?1224
数学-高二下开学诊断测试-051-020
