题干

已知椭圆C:
x
2
a
2
+
y
2
b
2
=1(a>b>0)的焦距为4 3 ,且椭圆C过点(2 3 ,1).

(Ⅰ)求椭圆C的方程;

(Ⅱ)设椭圆C与y轴负半轴的交点为B,如果直线y=kx+1(k≠0)交椭圆C于不同的两点E、F,且B,E,F构成以EF为底边,B为顶点的等腰三角形,判断直线EF与圆x2+y2=

1
2
的位置关系.
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答案(点此获取答案解析)

解:(I)由题可知c=2 3 ,a2﹣b2=c2
将点(2 <

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阅读短文,用方框内所给单词的正确形式填空,使短文意思通顺、完整。请将答案写在短文后相应题号的横线上。注意:①每个词只能用一次。②每空限填一词,有些词需要做相应的变化。③其中有两个多余选项。

usual, eat, mean, Britain, little, exciting, chance, or, although, common, if, spend

  In many European countries it is normal to have a long break in the middle of the day when all members of the family return to their houses to eat together. This is not very ____ in Britain because normally it is a long way from the place of work or school to the home. The ____ people often have a big breakfast before they go to work and the meal at midday is not____ _with the members of the family but with workmates or schoolmates. Lunch is normally____ between 12:30 pm and 1:30 pm. Most people finish work at five thirty. It often take at _____ an hour to get home from the school or workplace so people eat their meal ____ "dinner" between 6:30 pm and 9 pm.
On Sundays people don’t have to work so they take the ____ to eat together with their family. Sunday lunch is ____ the best meal of the week and many of the meals which are considered real British food are eaten for Sunday lunch, such as roast beef and pudding.
____ everyone in Britain understands that "breakfast" is the first meal of the day, there is a lot of confusion(混乱) about the words for other meals such as "dinner, lunch, tea, high tea, elevenses, brunch, supper". And if you ask a British person what these words ____ , most of them will give you a different answer according to what part of the country they are from.