• 2022-06-17
    图 [tex=1.786x1.143]+Gflvoz5O6I9fn+ZyrhG4A==[/tex] 所示电路, [tex=2.214x1.0]MVeOYouc7e3FvU1m5bCV6w==[/tex] 时, 开关 [tex=0.571x1.0]AdApoju1ffc+rbbtC1nNgw==[/tex] 闭合,求 [tex=2.143x1.357]VoazmReWoxQ981F2vOgAbg==[/tex] 。[img=240x151]17a52b07b25513a.png[/img]
  • 解:(1) 列写微分方程 [tex=14.143x2.786]ZdXhGRnlVG9b7yyUMGSwuesNXO/DGRVuEFRZ8K4WD5Z+dQqryXd6Gkv4ncmkXw/idhGAbG3+6vv+5CDNfjhg16zzch7BY8MTODmQ9X2i9CjhGaRt58smBlELZMxJ3SfrQSTpEunc+kEvm9ZKbA29Dg==[/tex] 且 [tex=4.286x1.357]bQDWJNtL3IgpIxdMHCPCfEc58/FZVYYz8b1c7mTyRdE=[/tex](2) 取拉氏变换[tex=26.286x2.786]ZdXhGRnlVG9b7yyUMGSwuVqFmGBTqj/iQZXTHwruxVUTUuH1sqLoHrAiRMtgURCWA3UekzI+rdHH9dSzcIobMU1IPX3ETuffr8aEqv+GNA343tkJiMqrOK0OIvhsR4zfD6DAeoJJcAs4uaoZ/+HP1SklAI3Bttj+1isrx17RQMjTUp8OPua8D+/DHczvNyUh[/tex]因式分解得[tex=13.5x3.357]BgJT9N+dUW22NqZwkgbgXhS0A9Nzh0hPcCMW2p2+jTtlzSKLiqHCfXs013sO0u9PflNXyw/+IV9mI3x+bVnt5QS7WLeif3UDZVxyaBH6eBOQ7zGJtJBREvLmiRaGjMs9sc529RzCepULvubhQK5dgQ==[/tex](3) 取拉氏逆变换[tex=13.929x2.571]oOHpPxX1UKlR8UJbjntb+xCFTDEDO7qfmiUkVjajpPkhvx0DB8V0+vJ1zb9LqVpB/Flgq31kNvEtNmmplcsiviwRrdqEApZbCzYbkD43dRE/ecGW5MYRDNqauEprKb4PeYte7VEoRaYUmoxoFetpOCQkIxwm42bRoYweIlqNe5M=[/tex]

    举一反三

    内容

    • 0

      在图[tex=4.643x1.286]CKa8Lm0cm2apV0wDg5y/2Ky0UjgAbF3MwUM2Gu78NmE=[/tex]所示电路中, 开关 [tex=0.571x1.0]AdApoju1ffc+rbbtC1nNgw==[/tex]在 [tex=1.714x1.0]E3oNynthv9PdlVO86MKpEA==[/tex] 时动作, 试求电路在[tex=2.5x1.214]ALDQEQOzbn2E0ZsyPK1NVhVpagKxSSFZwMc5yT6lcqc=[/tex]时刻电压、电流的初始值。[img=308x191]17aa979d9b8768c.png[/img][img=128x35]17aa979f66901d7.png[/img]

    • 1

      在图所示电路中[tex=8.429x1.214]eS5afyANXZKfLEySYlhLxzuvOzs0BKUt1dOQIeaXtj4=[/tex], 若[tex=14.5x3.643]gKCDNUX3yGtD9CbrQj19yWcM1MnOGlBXN57oa4VjVFZs/wE86FonwX+BKugNa9p0H1aJI47oC2KvT3CHWQVkFhs/v3cNeeTzQiY+vSfdLJTZw4DW4txT9+2BfGymEkNDeMTdWGJzIvng6qwEtjOd6w==[/tex],t单位为秒。(1) 求[tex=2.214x1.357]8OJTdr7C2K8IuiW34OV7MA==[/tex]。(2) 求电源电压[tex=2.143x1.357]ayT0u46f8NtznvYtwRv6MQ==[/tex][img=288x157]17aa7a9944a30c3.png[/img]

    • 2

      对于以下两种情形:(1)x为自变量,(2)x为中间变量,求函数[tex=2.214x1.214]sy9gaFRMGlrH59gm9bWSDg==[/tex]的[tex=1.5x1.429]5W5tOYbJ+LlsRP2dMsi4byxwtjvvL/3u7NEzPV5PWp0=[/tex]

    • 3

      求下列函数的导函数:(1) [tex=5.0x2.357]X/CieCDGJ7iPQ3YFWuscHxHrcIE/dPFa9tFyiJXze8A=[/tex](2)[tex=6.643x1.714]Oj74y/L+OxY81QME5JWMcl+7PZ2FGQswwvjgVhjq1Dmb6dBU0oAjZBW7eFBVjqo6[/tex]

    • 4

      对素数 [tex=0.571x1.0]FGGpnaR8m8C48rN8O0c7aw==[/tex] 的不同值, 找出循环群[tex=1.143x1.357]oOz0oH4UpFaaOY7OuGotcg8wtMntQEjCiVorwD1W3R4=[/tex]的所有生成元和所有子群.(1) 7 ;       (2) 11 ;           (3) 13(4) 17 ;     (5) 19 ;           (6) 23 .