a
symp
tote
复数形式
asymptotes
1
渐近线, 渐近线
a straight line that a curve approaches indefinitely but never intersects, characterizing the limiting behavior of the curve
- The hyperbola has asymptotes that represent the lines the curve approaches but never crosses.
双曲线有渐近线，代表曲线接近但永不跨越的线。
- A rational function may have vertical asymptotes where the function approaches infinity.
有理函数可能在函数接近无穷大时有垂直渐近线。
- A horizontal asymptote occurs when the values of a function approach a constant as the input goes to positive or negative infinity.
当函数的输入趋近于正无穷或负无穷时，若函数的值趋近于一个常数，则出现水平渐近线。
- Tangent lines to a curve at infinity can act as asymptotes, describing the curve's behavior.
在无穷远处对曲线的切线可以作为渐近线，描述曲线的行为。
- Exponential functions may exhibit horizontal asymptotes, indicating stability in the long run.
指数函数可能表现出水平渐近线，表明长期的稳定性。