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题库 / Prep2007E2-DS-43
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.
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第一个条件 有多个直线 第二个条件 能够得到一堆斜率相同的平行线 有的和圆相交有的不相交
两个条件联立 求出直线y=1/10x+b的b的范围 再利用点到直线的距离公式 求出距离d 大于某个数 而这个数不到1 因此不充分
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