求下列曲线在指定点处的曲率及曲率半径:阿基米德螺线 [tex=5.5x1.357]Vd++VDPVGBAu2NNVIOsSXz/1ZbBRR8VnUdOePjNeuwo=[/tex]在对应[tex=1.857x1.0]EMCcsLHkvnU3rYZewFSSAQ==[/tex] 的点处.
令 [tex=10.0x2.929]7EJHVCtO2IWq3KpdB+jQsl6XHSKgPiPN3S6Xr0VnhIe2pNtb9wABZ4bkOLOti1NCPGjkGQFLRpKufA4jVj1KV2BFLZ4w32dDuUFW/WWUeak1IjBtiuPG5ZgMCMerIO6mn9yfjICRITC4SuAd3RnCRoxl9LuHLk6mfBQtl0dnIuk=[/tex]则[tex=25.286x7.643]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[/tex]于是曲率 [tex=13.857x3.714]e7Bx/cJFoRuitRODHvgjYXiph8bykXUlwdr0oXRSouO0WekOrVw1FeTkggIjyggHem7EaD1x/8LXHwcke7/5/0Hlh0mF3Y2mNge4WxD96O6Ell1t5DnXwjT5D0nX59OKWxgQ4ru3thguPu2cFbE5MJ3zHUHkGXXCyLNW/wSYO79sG+orTuKR1IDToXld+SxL[/tex]曲率半径 [tex=10.571x2.929]ScDNdKkXa3s9iy6jfG+8KcXwOdyKxT78qQenkN5uci5pK5xJL76TtxXdoueF2D2+K3A2jw6cA1ZJmsAfakbpO3H/lXWvG8GHlbqwaBqU/X0=[/tex]
举一反三
- 求下列曲线在指定点处的曲率及曲率半径: 椭圆 [tex=4.429x1.429]sY7SJyB5+MThvss5F+JMf7Myu7cY1s/r/1pN7L6GyGM=[/tex]在点 (0,1) 处.
- 求下列曲线在指定点处的曲率及曲率半径:抛物线 [tex=5.357x1.429]qAflccfcXXJUQAusZL0kSw==[/tex] 在顶点处.
- 求曲线[tex=5.214x1.357]mGICNCTq9gKOmSACbM0Xo6OCCcgexXOtYgAQ9NCWcgw=[/tex]在点[tex=2.286x1.357]Vc2pH4ypHndnllKqCpRn1g==[/tex]处的曲率及曲率半径.
- 求曲线[tex=4.786x1.286]2QTILu7Y7g5zIpu4AxdUDoVJkm0ZSfrVt1+tXAa6HS4=[/tex]在点[tex=2.214x1.286]S6NgNKNoH80dgKR3db0eeg==[/tex]处的曲率及曲率半径。
- 求曲线 [tex=6.357x1.429]v085cHYE3FBfaOd7jsGm9QNpbj7TbPEiacPDvQnt9Og=[/tex] 在点[tex=2.286x1.357]OfHxxUhJ2mtIjsaijINmaA==[/tex]处的曲率及在该点处的曲率半径.
内容
- 0
求曲线[tex=5.429x1.357]nK0m8rECT8RNj0mtG6I2G+Me+ns4VTP/Ct4Hc7jjfnw=[/tex]在点[tex=2.143x1.357]Vc2pH4ypHndnllKqCpRn1g==[/tex]处的曲率及曲率半径.
- 1
求曲线[tex=4.071x1.214]KynB1PxDSYAX//XdWL552A==[/tex]在点(0,1)处点曲率和曲率半径。
- 2
对数曲线 [tex=3.071x1.214]MBM6FkRKhubflZJqDSdnSQ==[/tex]上哪点处的曲率半径最小?求该点处的曲率
- 3
求极坐标方程所表示的曲线的曲率半径:阿基米德螺线[tex=2.429x1.0]Y2pTMEGYUKyj8tEBjeAcTw==[/tex]
- 4
曲线[tex=2.214x1.214]+uhjmb2E5xVh5Jr8m9fmgA==[/tex]在[tex=1.857x1.0]bOlCq/PHWhsSVMaVf7Obdg==[/tex]处的曲率半径[tex=1.571x1.0]WgxKgx61cXoFaJrkmkx4/w==[/tex]？