问题
问答题
过点C(0,1)的椭圆的离心率为椭圆与x轴交于两点A(a,0)、B(-a,0),过点C的直线l与椭圆交于另一点D,并与x轴交于点P,直线AC与直线BD交于点Q。
当直线l过椭圆右焦点时,求线段CD的长;
答案
参考答案:
由已知得b=1,,解得a=2,所以椭圆方程为
椭圆的右焦点为此时直线l的方程为,代入椭圆方程化简得
解得代入直线l的方程得
,所以
故
过点C(0,1)的椭圆的离心率为椭圆与x轴交于两点A(a,0)、B(-a,0),过点C的直线l与椭圆交于另一点D,并与x轴交于点P,直线AC与直线BD交于点Q。
当直线l过椭圆右焦点时,求线段CD的长;
参考答案:
由已知得b=1,,解得a=2,所以椭圆方程为
椭圆的右焦点为此时直线l的方程为,代入椭圆方程化简得
解得代入直线l的方程得
,所以
故
The story tell us about the British writer, Richard Savage. He was once living in London with 1 money in his pockets. In order to get some food and clothes, he wrote the story of his life and managed to have it published. But not many copies of his books were 2 in the shops, and he was still living a hard life. Because of anxiety(忧虑)and malnutrition(营养不良), he became very weak and before long he fell 3 , and a doctor was sent for. The doctor was not rich enough, but was 4 literature. He tried his best to cure Savage of his illness and a week later Savage was out of danger. When he finally recovered(重新获得) his 5 , the doctor sent a bill to Savage for his 6 , but poor Savage had no money to pay it. The doctor waited for a month and sent another bill. Receiving no money again, the doctor went to Savage himself. "You know you owe(欠) your life to me," said the doctor, "and I should 7 some thankfulness from you." "I agree," said the writer, " you've done a great favour(恩惠) for me and if I'm not ungrateful for your kindness, I'll damage(损坏) my life to you." With these words he handed the doctor two copies of The Life of Richard Savage. The doctor took the books home and began to _ 8 them carefully. "I see I've 9 the life of a great writer," the doctor said to himself with a sense of pride, Maybe this is the only thing I could be really 10 of in my life." Five years later Savage called on the doctor to pay his bill, only to find that the doctor had already passed away .
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