若双曲线x²/a²-y²/b²=1的离心率为根号3,则其渐近线的斜率为( ) A.±2 B.若双曲线x²/a²-y²/b²=1的离心率为根号3,则其渐近线的斜率为( )A.±2 B.±根号2 C.±1/2 D.±根号2/2
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/25 19:11:24
![若双曲线x²/a²-y²/b²=1的离心率为根号3,则其渐近线的斜率为( ) A.±2 B.若双曲线x²/a²-y²/b²=1的离心率为根号3,则其渐近线的斜率为( )A.±2 B.±根号2 C.±1/2 D.±根号2/2](/uploads/image/z/8427930-42-0.jpg?t=%E8%8B%A5%E5%8F%8C%E6%9B%B2%E7%BA%BFx%26%23178%3B%2Fa%26%23178%3B-y%26%23178%3B%2Fb%26%23178%3B%3D1%E7%9A%84%E7%A6%BB%E5%BF%83%E7%8E%87%E4%B8%BA%E6%A0%B9%E5%8F%B73%2C%E5%88%99%E5%85%B6%E6%B8%90%E8%BF%91%E7%BA%BF%E7%9A%84%E6%96%9C%E7%8E%87%E4%B8%BA%28+%29+A.%C2%B12+B.%E8%8B%A5%E5%8F%8C%E6%9B%B2%E7%BA%BFx%26%23178%3B%2Fa%26%23178%3B-y%26%23178%3B%2Fb%26%23178%3B%3D1%E7%9A%84%E7%A6%BB%E5%BF%83%E7%8E%87%E4%B8%BA%E6%A0%B9%E5%8F%B73%2C%E5%88%99%E5%85%B6%E6%B8%90%E8%BF%91%E7%BA%BF%E7%9A%84%E6%96%9C%E7%8E%87%E4%B8%BA%28+%29A.%C2%B12+B.%C2%B1%E6%A0%B9%E5%8F%B72+C.%C2%B11%2F2+D.%C2%B1%E6%A0%B9%E5%8F%B72%2F2)
若双曲线x²/a²-y²/b²=1的离心率为根号3,则其渐近线的斜率为( ) A.±2 B.若双曲线x²/a²-y²/b²=1的离心率为根号3,则其渐近线的斜率为( )A.±2 B.±根号2 C.±1/2 D.±根号2/2
若双曲线x²/a²-y²/b²=1的离心率为根号3,则其渐近线的斜率为( ) A.±2 B.
若双曲线x²/a²-y²/b²=1的离心率为根号3,则其渐近线的斜率为( )
A.±2 B.±根号2 C.±1/2 D.±根号2/2
若双曲线x²/a²-y²/b²=1的离心率为根号3,则其渐近线的斜率为( ) A.±2 B.若双曲线x²/a²-y²/b²=1的离心率为根号3,则其渐近线的斜率为( )A.±2 B.±根号2 C.±1/2 D.±根号2/2
依题意知c/a=√3 故c^2=3a^2
亦即b^2=2a^2
故k=±b/a=±√2 选B
如有不懂,