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       Always did he come to help us.

       Often did we warn them not to do so.

       Many a time did he go swimming in the river.

      注:上述所说的词不放在句首,不用倒装语序。

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      Child as he is, he knows a lot.

      Tired as he was, he continued to work.

      Hard as I work, I can’t catch up with you.

      Much as we like the place, we can’t stay here.

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      Up flew the red balloon.

       Out rushed a policeman from among the crowd.

注:如果主语是一个人称代词,谓语仍放在后面,如:

       Away they went./ Down it flew.  /  Up it went.

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       Had I come five minutes earlier, I would have met the famous scientist. 

          (If I had come five minutes …)

      Should anyone call, tell him to wait for me here.

       Were I ten years younger, I would with you.

       Should you change your mind, let us know.

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       -- I won’t do such a thing. 

       –-Neither / Nor will I.

       -- I haven’t done my homework. 

       –- Neither / Nor have I.

       If you don’t go, neither will I.

       I didn’t read the notice, nor did he.

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     Society has changed and so have the people in it.

     He plays the violin quite well. So does my sister.

如果一个句子只是重复前面一句话的意思,尽管so用开头,语序也不要倒装

     --It was cold yesterday.–-So it was!

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Here is China’s largest tropical forest.

Here are some picture-books.

注:如果主语为人称代词,仍用自然语序,

Here you are. / Here we are. / Here it is

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Then came a new difficulty.

Then followed eight years of the Anti-Japanese War.

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There comes the bus!   There goes the bell!

Here comes Mary!     Now comes your turn.

注:如果主语为人称代词,仍用自然语序,例如:

There he comes!        Here she comes!

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  17.(12分)已知射线,使得PQ所在的直线ll1及直线y=0在第一象限内围成的面积达到最小值。

  18、(12分)自点A发出的光线射到轴上,被轴反射,其反射光线所在直线与圆相切,求光线所在的方程。

  19.(12分)(理)过椭圆的右焦点F作一直线L交椭圆于A、

B两点,且A、B到直线的距离之和为,求直线L的方程。

    (文)要将两种大小不同的钢板截成A、B、C三种规格的小钢板,其中第一种钢板一张可截成A规格的两块,B规格的一块,C规格的一块,第二种钢板一张可截成A规格的一块,B规格的两块,C规格的三块,今需A、B、C三种规格的成品分别为15、18、27块,问各截这两种钢板多少张可得所需三种规格的成品,且使所用钢板张数最少。

  20.(12分)已知圆C1,Q为圆上一点,AQ的垂直平分线交C1Q于M,

(1)求点M的轨迹C2的方程。

(2)曲线C2的一个焦点为F1,对应的准线为l,另一个焦点为F2,问在C2上是否存在点P,使|PF1|是P到l的距离与|PF2|的比例中项?若存在,试求P点的坐标,若不存在,说明理由。

  21.已知圆

①求证不论m为何值,圆心在同一直线l上;

②与l平行的直线中,哪些与圆相交、相切、相离;

③求证:任何一条平行l且与圆相交的直线被圆截得的弦长相等。

 

  22.(13分)(理)已知椭圆C:+=1(a>b>0)的左.右焦点为F1、F2,离心率为e. 直线ly=e+a轴.轴分

别交于点A、B,M是直线与椭圆C的一个公共点,P是点F1关于直线的对称点,设=λ.

(1)证明:λ=1-e2

(2)确定λ的值,使得△PF1F2是等腰三角形.

(文)过椭圆的右焦点F作一直线l交椭圆于A、B两点,且A、B到直线的距离之和为,求直线L的方程。

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