MathDB

6

Part of 1997 National High School Mathematics League

Problems(1)

The Number of Lines

Source: 1997 National High School Mathematics League, Exam One, Problem 6

3/4/2020
In the space, three lines a,b,ca,b,c that any two in them are skew lines. Then the number of lines that intersect all of a,b,ca,b,c is (A)0(B)1(C)more than one, but finitely many(D)infinitely many\text{(A)}0\qquad\text{(B)}1\qquad\text{(C)}\text{more than one, but finitely many}\qquad\text{(D)} \text{infinitely many}