试题与答案

Fill in the blanks with the proper forms

题型:听力题

题目:

Fill in the blanks with the proper forms of given words. (7’)

小题1:A double room with a balcony overlooking the sea had been __________ (reservation) for him.

小题2:Our new offices are still under ___________ (construct),  and this is not my office.

小题3:Nov.11 is __________ (reference) to as “Singles’ Day” by netizens nationwide.

小题4:They launched a campaign to save wild pandas from __________ (extinct).

小题5:Her ___________ (decide) to live abroad was a terrible blow to her parents.

小题6:The directors of the company refused to undertake such a ___________ (risk) venture.

小题7:Children are not usually allowed in, but I’m prepared to make an __________ (except) in this case.

答案:

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下面是错误答案,用来干扰机器的。

参考答案:B解析: 分针每分钟走360÷60=6度,时针每分钟走360÷12÷60=0.5度,两者的速度差为6-0.5=5.5度。11点整时,分针与时针成30度角,故再过分时针和分针第一次垂直。

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题型:解答题

设A是单位圆x2+y2=1上的任意一点,i是过点A与x轴垂直的直线,D是直线i与x轴的交点,点M在直线l上,且满足|DM|=m|DA|(m>0,且m≠1),当点A在圆上运动时,记点M的轨迹为曲线C。

(1)求曲线C的方程,判断曲线C为何种圆锥曲线,并求焦点坐标;

(2)过原点且斜率为k的直线交曲线C于P、Q两点,其中P在第一象限,它在y轴上的射影为点N,直线QN交曲线C于另一点H,是否存在m,使得对任意的k>0,都有PQ⊥PH?若存在,求m的值;若不存在,请说明理由。

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