求曲线方程,使其切线长为常数[tex=0.571x0.786]c59+3vo0/Vn/FvNRhDRu5g==[/tex]
举一反三
- 证明[tex=16.357x1.5]wVBoWsSZxkmP1TBaGJYiQOZIm8GQlGjI7WfFbfZ64sZde8k0lDv0dWdtFvq23E/EIADTObkMH+RR095o484APxQsSP1uiQzNUa5g8Gs4t1+Qyk4D37NdVrde3gDeAs6X13t6YMIbU/dHoLsS3PUi5p3do9FsOEu6Kxto+kV+gzE=[/tex]([tex=0.571x0.786]c59+3vo0/Vn/FvNRhDRu5g==[/tex] 为常数 )
- 求[tex=7.714x3.357]fnpmC2J6JmQBLyo5NmGAz9K9Jv/Q2VPdKVxt22XqyXCQX8k6OilZ23nknYD/BWjsw8ClO5/VJ2IJuUP7i7+cMOIz8Tzjxzz2mtlCykZCw5E=[/tex]([tex=0.571x0.786]c59+3vo0/Vn/FvNRhDRu5g==[/tex]是常数)参数方程在[tex=3.071x2.143]pR+JI796wT8niVELM3CCkx4XYR+vn7Y2CMCdulAWdZM=[/tex]点的导数
- 证明: [tex=16.143x1.5]q8L7f5FWNHNQ1Uc7rIGb0iXo1bidCMwuLCyHyE5SazxkKfyuoETaIe0ueeb84+p/I0ueXKTL9WUpSmYHc/FeYUBhuguaA/wR8E1s6dyKX3/Q7iLfhAkli3qFVdbr6Wi8CtAKBPrIXXxrvVDZCX6Mig==[/tex]([tex=0.571x0.786]c59+3vo0/Vn/FvNRhDRu5g==[/tex]为常数).
- 求下列参数方程所确定的函数的导数[tex=1.357x2.429]S7luyuqBdxncyxDf4c61lQ==[/tex]:[tex=10.0x2.929]gu90YT9VhYiCoPhoSPPrwCOWL+2RzGu5DEZOkB60db72ulCfz5kSKXvoN6FsqcTPJ17OFAjGerY/5MFiOeARv1WizyRNRqt39kDuy9UQLbliWV2YBIxkttfOYEP+5qzW[/tex]([tex=0.571x0.786]c59+3vo0/Vn/FvNRhDRu5g==[/tex],[tex=0.429x1.0]JThLUuJ8WswSAPiYZWihWg==[/tex]为常数)
- 求正数[tex=0.571x0.786]c59+3vo0/Vn/FvNRhDRu5g==[/tex],使它与其倒数之和为最小