Circle C and line k lie in the xy-plane. If circle C is centered at the origin and has radius 1, does line k intersect circle C ?
(1) The x-intercept of line k is greater than 1.
(2) The slope of line k is ~$-\frac{1}{10}$~ .
Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
EACH statement ALONE is sufficient.
Statements (1) and (2) TOGETHER are NOT sufficient.
y=kx+b,已知k=-1/10,不知道b就知道到底相交还是不相交。要求b,需要另一个方程式,题目只给了y=0时,x>1,算不出b。
求一下x=1时直线与圆的相交情况,因为斜率已经固定,把求出来的直线向x>1的方向平移就能看出x>1后,直线与圆的相交情况。
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