这类题要先假设切点,令其为P(p, lnp)
y = lnx的导数为y = 1/x, 在P点的切线斜率为1/p, 切线为y - lnp = (1/p)(x - p)
切线过原点, 则-lnp = (1/p)(0 - p) = -1, p = e
k = 1/p = 1/e