配套习题- 直线与圆锥曲线的位置关系 -【青果学院】

1/5单选题

难度：

1.

如果椭圆的弦被点(4，2)平分，则这条弦所在的直线方程是（）

A
B
C
D

正确答案：RA==

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

2/5单选题

难度：

2.

已知抛物线C：y²=4x的焦点为F，直线y=2x-4与C交于A，B两点，则cos∠AFB=（）

A
B
C	－
D	－

正确答案：RA==

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

3/5单选题

难度：

3.

已知，是双曲线的左，右焦点，若双曲线左支上存在一点与点关于直线对称，则该双曲线的离心率为（）

A
B
C
D	2

正确答案：Qg==

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

4/5单选题

难度：

4.

在抛物线上有点，它到直线的距离为4，如果点的坐标为（）,且，则的值为（）

A
B	1
C
D	2

正确答案：RA==

PHA+6Kej77ya5Zug5Li6PGltZyBzcmM9Imh0dHBzOi8vcDIucWluZ2d1by5jb20vRzEvTTAwLzQ3LzZBL3JCQUNKbFRadHBfai1kc1ZBQUFDdFJCQ3Fsbzg4Ny5wbmciIGRhdGEtY2tlLXNhdmVkLXNyYz0iaHR0cHM6Ly9wMi5xaW5nZ3VvLmNvbS9HMS9NMDAvNDcvNkEvckJBQ0psVFp0cF9qLWRzVkFBQUN0UkJDcWxvODg3LnBuZyIgaGVpZ2h0PSIyNyIgd2lkdGg9IjU5Ij7liLDnm7Tnur88aW1nIHNyYz0iaHR0cHM6Ly9wMi5xaW5nZ3VvLmNvbS9HMS9NMDAvNDcvNkEvckJBQ0psVFp0cDZBUExrNkFBQUJrX1NQb1VzMjg1LnBuZyIgZGF0YS1ja2Utc2F2ZWQtc3JjPSJodHRwczovL3AyLnFpbmdndW8uY29tL0cxL00wMC80Ny82QS9yQkFDSmxUWnRwNkFQTGs2QUFBQmtfU1BvVXMyODUucG5nIiBoZWlnaHQ9IjE3IiB3aWR0aD0iNDAiPueahOi3neemu+S4ujQ8aW1nIHNyYz0iaHR0cHM6Ly9wMi5xaW5nZ3VvLmNvbS9HMS9NMDAvNDcvQUQvckJBQ0oxVFp0cDdDMGF3OUFBQUJVT2J4cDRrOTA1LnBuZyIgZGF0YS1ja2Utc2F2ZWQtc3JjPSJodHRwczovL3AyLnFpbmdndW8uY29tL0cxL00wMC80Ny9BRC9yQkFDSjFUWnRwN0MwYXc5QUFBQlVPYnhwNGs5MDUucG5nIiBoZWlnaHQ9IjIzIiB3aWR0aD0iMjUiPu+8jOaJgOS7pTxpbWcgc3JjPSJodHRwczovL3AyLnFpbmdndW8uY29tL0cxL00wMC9COC9FQS9yQkFDRkZUWnRwX0NKZm9tQUFBREpENGQ5S1EzODcucG5nIiBkYXRhLWNrZS1zYXZlZC1zcmM9Imh0dHBzOi8vcDIucWluZ2d1by5jb20vRzEvTTAwL0I4L0VBL3JCQUNGRlRadHBfQ0pmb21BQUFESkQ0ZDlLUTM4Ny5wbmciIGhlaWdodD0iNDciIHdpZHRoPSI5MSI+77yM5Y+I5Zug5Li6PGltZyBzcmM9Imh0dHBzOi8vcDIucWluZ2d1by5jb20vRzEvTTAwLzQ3LzZBL3JCQUNKbFRadHFEVHBNYjdBQUFDSi1NMUlRTTMyMi5wbmciIGRhdGEtY2tlLXNhdmVkLXNyYz0iaHR0cHM6Ly9wMi5xaW5nZ3VvLmNvbS9HMS9NMDAvNDcvNkEvckJBQ0psVFp0cURUcE1iN0FBQUNKLU0xSVFNMzIyLnBuZyIgaGVpZ2h0PSIyMSIgd2lkdGg9IjU2Ij7vvIzkuJQ8aW1nIHNyYz0iaHR0cHM6Ly9wMS5xaW5nZ3VvLmNvbS9HMS9NMDAvN0MvMjAvckJBQ0UxVFp0cUR3WEFhaEFBQUJxUVVveW9FOTkyLnBuZyIgZGF0YS1ja2Utc2F2ZWQtc3JjPSJodHRwczovL3AxLnFpbmdndW8uY29tL0cxL00wMC83Qy8yMC9yQkFDRTFUWnRxRHdYQWFoQUFBQnFRVW95b0U5OTIucG5nIiBoZWlnaHQ9IjIxIiB3aWR0aD0iNTgiPu+8jOS4pOW8j+iBlOeri+WPr+W+lzxpbWcgc3JjPSJodHRwczovL3AyLnFpbmdndW8uY29tL0cxL00wMC80Ny9BRC9yQkFDSjFUWnRxQ2ladjBnQUFBQ2oyUUFIakU2MjIucG5nIiBkYXRhLWNrZS1zYXZlZC1zcmM9Imh0dHBzOi8vcDIucWluZ2d1by5jb20vRzEvTTAwLzQ3L0FEL3JCQUNKMVRadHFDaVp2MGdBQUFDajJRQUhqRTYyMi5wbmciIGhlaWdodD0iMjEiIHdpZHRoPSI4NCI+77yM5omA5LulPGltZyBzcmM9Imh0dHBzOi8vcDIucWluZ2d1by5jb20vRzEvTTAwL0I4L0VBL3JCQUNGRlRadHA3eDNzZ1JBQUFCdTNad3BpVTA5OC5wbmciIGRhdGEtY2tlLXNhdmVkLXNyYz0iaHR0cHM6Ly9wMi5xaW5nZ3VvLmNvbS9HMS9NMDAvQjgvRUEvckJBQ0ZGVFp0cDd4M3NnUkFBQUJ1M1p3cGlVMDk4LnBuZyIgaGVpZ2h0PSI0MSIgd2lkdGg9IjIwIj7nmoTlgLzkuLoyLjxicj48L3A+

5/5单选题

难度：

5.

直线与双曲线仅有一个公共点，则实数的值为（）

A	1
B	-1
C	1或-1
D	1或-1或0

正确答案：Qw==

PHA+6Kej77ya55SxPGltZyBzcmM9Imh0dHBzOi8vcDIucWluZ2d1by5jb20vRzEvTTAwLzdDLzIwL3JCQUNFMVRadGxTZ2JQODZBQUFFZ0JnYlV2bzI1MS5wbmciIGRhdGEtY2tlLXNhdmVkLXNyYz0iaHR0cHM6Ly9wMi5xaW5nZ3VvLmNvbS9HMS9NMDAvN0MvMjAvckJBQ0UxVFp0bFNnYlA4NkFBQUVnQmdiVXZvMjUxLnBuZyIgaGVpZ2h0PSI1OSIgd2lkdGg9IjEwNCI+5b6X77yaPGltZyBzcmM9Imh0dHBzOi8vcDIucWluZ2d1by5jb20vRzEvTTAwLzQ3L0FDL3JCQUNKMVRadGxQd3pKM2JBQUFFSnRXS2NBYzg5MC5wbmciIGRhdGEtY2tlLXNhdmVkLXNyYz0iaHR0cHM6Ly9wMi5xaW5nZ3VvLmNvbS9HMS9NMDAvNDcvQUMvckJBQ0oxVFp0bFB3ekozYkFBQUVKdFdLY0FjODkwLnBuZyIgaGVpZ2h0PSIyOSIgd2lkdGg9IjE3NiI+77yMPGJyPuW9kzxpbWcgc3JjPSJodHRwczovL3AyLnFpbmdndW8uY29tL0cxL00wMC83Qy8yMC9yQkFDRTFUWnRsV0ROa0QzQUFBQ3JsLW1fcG83NzMucG5nIiBkYXRhLWNrZS1zYXZlZC1zcmM9Imh0dHBzOi8vcDIucWluZ2d1by5jb20vRzEvTTAwLzdDLzIwL3JCQUNFMVRadGxXRE5rRDNBQUFDcmwtbV9wbzc3My5wbmciIGhlaWdodD0iMjMiIHdpZHRoPSIxMzMiPu+8jOatpOaXtuaWueeoizxpbWcgc3JjPSJodHRwczovL3AyLnFpbmdndW8uY29tL0cxL00wMC80Ny9BQy9yQkFDSjFUWnRsUHd6SjNiQUFBRUp0V0tjQWM4OTAucG5nIiBkYXRhLWNrZS1zYXZlZC1zcmM9Imh0dHBzOi8vcDIucWluZ2d1by5jb20vRzEvTTAwLzQ3L0FDL3JCQUNKMVRadGxQd3pKM2JBQUFFSnRXS2NBYzg5MC5wbmciIGhlaWdodD0iMjkiIHdpZHRoPSIxNzYiPuWPquacieS4gOague+8jOaJgOS7peebtOe6v+S4juWPjOabsue6v+S7heacieS4gOS4quWFrOWFseeCue+8mzxicj7lvZM8aW1nIHNyYz0iaHR0cHM6Ly9wMi5xaW5nZ3VvLmNvbS9HMS9NMDAvQjgvRTkvckJBQ0ZGVFp0bFBDX3VPTkFBQUI5QkpjbUg0MjcwLnBuZyIgZGF0YS1ja2Utc2F2ZWQtc3JjPSJodHRwczovL3AyLnFpbmdndW8uY29tL0cxL00wMC9COC9FOS9yQkFDRkZUWnRsUENfdU9OQUFBQjlCSmNtSDQyNzAucG5nIiBoZWlnaHQ9IjIxIiB3aWR0aD0iNTYiPuaXtu+8jOimgea7oei2s+mimOaEj+mcgDxpbWcgc3JjPSJodHRwczovL3AyLnFpbmdndW8uY29tL0cxL00wMC80Ny82QS9yQkFDSmxUWnRsT1Rya2lEQUFBQmJPRW5FeU02NjYucG5nIiBkYXRhLWNrZS1zYXZlZC1zcmM9Imh0dHBzOi8vcDIucWluZ2d1by5jb20vRzEvTTAwLzQ3LzZBL3JCQUNKbFRadGxPVHJraURBQUFCYk9FbkV5TTY2Ni5wbmciIGhlaWdodD0iMjEiIHdpZHRoPSIzMCI+77yM5q2k5pe25peg6Kej44CCPGJyPuaJgOS7peebtOe6vzxpbWcgc3JjPSJodHRwczovL3AyLnFpbmdndW8uY29tL0cxL00wMC9COC9FOS9yQkFDRkZUWnRsT2pGZ29JQUFBRGF6R2luaWMwNjkucG5nIiBkYXRhLWNrZS1zYXZlZC1zcmM9Imh0dHBzOi8vcDIucWluZ2d1by5jb20vRzEvTTAwL0I4L0U5L3JCQUNGRlRadGxPakZnb0lBQUFEYXpHaW5pYzA2OS5wbmciIGhlaWdodD0iMzIiIHdpZHRoPSIxMDkiPuS4juWPjOabsue6vzxpbWcgc3JjPSJodHRwczovL3AyLnFpbmdndW8uY29tL0cxL00wMC9COC9FOS9yQkFDRkZUWnRsT2hoMHk5QUFBQ0VVOV95MDQwNzcucG5nIiBkYXRhLWNrZS1zYXZlZC1zcmM9Imh0dHBzOi8vcDIucWluZ2d1by5jb20vRzEvTTAwL0I4L0U5L3JCQUNGRlRadGxPaGgweTlBQUFDRVU5X3kwNDA3Ny5wbmciIGhlaWdodD0iMjQiIHdpZHRoPSI3MSI+5LuF5pyJ5LiA5Liq5YWs5YWx54K577yM5YiZ5a6e5pWwPGltZyBzcmM9Imh0dHBzOi8vcDIucWluZ2d1by5jb20vRzEvTTAwLzQ3LzZBL3JCQUNKbFRadGxQaHBwRXdBQUFCT0JZaS0tTTk3OC5wbmciIGRhdGEtY2tlLXNhdmVkLXNyYz0iaHR0cHM6Ly9wMi5xaW5nZ3VvLmNvbS9HMS9NMDAvNDcvNkEvckJBQ0psVFp0bFBocHBFd0FBQUJPQllpLS1NOTc4LnBuZyIgaGVpZ2h0PSIxOSIgd2lkdGg9IjEzIj7nmoTlgLzkuLox5oiWLTHjgII8YnI+PC9wPg==