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20. When he entered the back yard, the farmer caught a boy _____ his apples.

A steal    B to steal   C stole   D stealing

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19. It is no use ______ about it. You can’t do anything to change it.

A. to worry   B. worried   C. worrying   D. worries

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18.  I can never forget the day _______ we worked together and the day________ we spent together.

A. when, which    B.which, when C. what, what    D. on which, when

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17. We had a picnic last term and it was a lot of fun, so let’s have______ one this month.

A. the other   B. some    C. another    D. other

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16. More and more young people are fond _______ playing tennis nowadays.

A. of     B. on   C. in    D. with

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(听力用英语周报上的题)

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20、(10分)已知数列{an}满足a1=1,an>0,Sn是数列{an}的前n项和,对任意n∈N*,

 有2Sn=2an2+an-1

 (1)计算a2,a3的值,并求数列{an}的通项公式 

 (2)求满足Sm≤27的m的最大值   

(3)记bn(n∈N*),求证:

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19、(12分)如图,  P为菱形ABCD所在平面外一点,M、N 分别为AD、PB 的中点,平面PAD⊥平面ABCD,PA=PD=AD=2,∠DAB=600

求证: (1)MN //平面PCD(2)AD⊥PB  (3)求三棱锥D-PBC的体积

   

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18、(6分)已知圆C:,求过点A(2,4)与圆相切的直线方程

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17、(6分)在锐角△ABC中,a、b、c分别为角A、B、C所对的边,且

(Ⅰ)确定角C的大小:   

(Ⅱ)若c=,且△ABC的面积为,求a+b的值。

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