问题
填空题
若抛物线y2=2px(p>0)的焦点与双曲线
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答案
双曲线
-x2 12
=1中a2=12,b2=4,∴c2=a2+b2=14,∴c=4y2 4
∴双曲线
-x2 12
=1的右焦点为(4,0)y2 4
∵抛物线y2=2px(p>0)的焦点与双曲线
-x2 12
=1的右焦点重复,y2 4
∴
=4p 2
∴p=8
故答案为:8
若抛物线y2=2px(p>0)的焦点与双曲线
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双曲线
-x2 12
=1中a2=12,b2=4,∴c2=a2+b2=14,∴c=4y2 4
∴双曲线
-x2 12
=1的右焦点为(4,0)y2 4
∵抛物线y2=2px(p>0)的焦点与双曲线
-x2 12
=1的右焦点重复,y2 4
∴
=4p 2
∴p=8
故答案为:8
完形填空。阅读下面短文,从短文后所给的四个选项中,选出可以填入空白处的最佳选项。 | ||||||||||||||
Two friends were walking 1 the desert. During the journey they 2 . And the taller boy slapped the shorter 3 in the face. The shorter boy was hurt. But 4 , he wrote in the sand, "Today my best friend slapped me 5 the face." They 6 till they found a pond. And they decided to take a bath there. The shorter boy 7 in the mud and started to sink. He 8 , "Help! Help!" Luckily, he was pulled to 9 by his friend. After that, he carved on a stone, "Today my best friend 10 ." The taller boy asked him, "After I hurt you, you 11 in the sand, but now you carve on the stone. Why?" The shorter boy replied, "When someone 12 you, you should write it in the sand 13 the wind can erase (清除) it easily. However, when someone 14 for you, you should carve it on a stone from which the wind can 15 erase it." | ||||||||||||||
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