6、----
----I had a great time, too.I’ll call you this week and perhaps we can go out again next weekend.
A、Thank you for a lovely evening B、Did you have a good time?
C、A lovely evening,isn’t it? D、How did you spend this weekend?
5、----You speak very good English.
---- .
A、And so do you B、Far from very good
C、Worse than you do D、Thanks for your praise
4、----The book isn’t easy for Jack to understand,is it?
---- .His foreign language is far better than expected.
A、No,it isn’t B、I’m afraid not C、I don’t think so D、Yes,it is
3、----May I take your order now?
----
----OK,I’ll come back in a few minutes.
A、Could you bring us the bill? B、Sure,we’d love to
C、Yes,here it is.Thank you. D、No,we need more time
2、----Hi,Jack!I’m glad I came across you here.
---- ,Alice?
A、Who is that speaking B、How about another cup of tea
C、Why?What’s up D、What can I do for you
1、----Would you mind my opening the door?
----Oh, .
A、you’re welcome B、I think so C、that’s all right D、not at all
(15) 已知函数的图象过点P(0,2),且在点M处的切线方程为.
(Ⅰ)求函数的解析式;
(Ⅱ)求函数的单调区间.
(16) 已知函数在处取得极值.
(Ⅰ)讨论和是函数的极大值还是极小值;
(Ⅱ)过点作曲线的切线,求此切线方程.
(17) 已知向量在区间(-1,1)上是增函数,求t的取值范围.
(18) 已知是函数的一个极值点,其中,
(I)求与的关系式;
(II)求的单调区间;
(III)(理科做)当时,函数的图象上任意一点的切线斜率恒大于3,求的取值范围.
(11)设f(x)= x|x|, 则f′( 0)= .
(12)函数在闭区间[-3,0]上的最大值、最小值分别是 .
(13)若曲线y=h(x)在点P(a, h(a))处的切线方程为2x+y+1=0,则与0的大小关系是 0
(14)过原点作曲线的切线,则切点的坐标为 ,切线的斜率为 .
(1) 下列求导运算正确的是 ( )
A.(x+ B.(log2x)′=
C.(3x)′=3xlog3e D. (x2cosx)′=-2xsinx
(2) 函数y=x2+1的图象与直线y=x相切,则= ( )
A. B. C. D.1
(3) 函数是减函数的区间为 ( )
A. B. C. D.(0,2)
(4) 函数已知时取得极值,则= ( )
A.2 B.3 C.4 D.5
(5) 在函数的图象上,其切线的倾斜角小于的点中,坐标为整数的点的个数是 ( )
A.3 B.2 C.1 D.0
(6) 设f0(x) = sinx,f1(x)=f0′(x),f2(x)=f1′(x),…,fn+1(x) = fn′(x),n∈N,则f2005(x)= ( )
A.sinx B.-sinx C.cosx D.-cosx
(7) 已知函数的图象如右图所示(其中 是函数的导函数),下面四个图象中的图象大致是 ( )
(8)设在[0, 1]上的函数f(x)的曲线连续, 且f′(x)>0, 则下列一定成立的是 ( )
A. f(0)<0 B. f(1)>0 C. f(1)> f(0) D. f(1)<f(0)
(9)设f(x)、g(x)分别是定义在R上的奇函数和偶函数,当x<0时,>0.且g(3)=0.则不等式f(x)g(x)<0的解集是 ( )
A. (-3,0)∪(3,+∞) B. (-3,0)∪(0, 3)
C. (-∞,- 3)∪(3,+∞) D. (-∞,- 3)∪(0, 3)
(10)若的大小关系 ( )
A. B. C. D.与x的取值有关