有一泵循环管道，各支管阀门全开时，支管流量分别为[tex=2.143x1.214]O9/C4JqiIrfNUws4CNXU8w==[/tex] 、[tex=1.143x1.214]lPXqCmjChrXyFH2yzDnzgg==[/tex], 若将阀门 [tex=0.786x1.0]XUo+oVq0EXNG7rY4rJKp8w==[/tex] 开度变小,其他条件不变，试论证主管流量[tex=1.786x1.214]Sd6OIrsXw9myhNAmKMLwb5QVnKij2PdSr+HcpU+bnrI=[/tex]怎样变化，支管流量[tex=2.143x1.286]Sd6OIrsXw9myhNAmKMLwb1keXyMSiNL0QrXGgLxRcxo=[/tex]、 [tex=1.143x1.286]xnuzxzf1tFBrAIoFGk08Lw==[/tex]怎样变化。[img=284x172]17b87550af23dcb.png[/img]

2022-06-11

有一泵循环管道，各支管阀门全开时，支管流量分别为[tex=2.143x1.214]O9/C4JqiIrfNUws4CNXU8w==[/tex] 、[tex=1.143x1.214]lPXqCmjChrXyFH2yzDnzgg==[/tex], 若将阀门 [tex=0.786x1.0]XUo+oVq0EXNG7rY4rJKp8w==[/tex] 开度变小,其他条件不变，试论证主管流量[tex=1.786x1.214]Sd6OIrsXw9myhNAmKMLwb5QVnKij2PdSr+HcpU+bnrI=[/tex]怎样变化，支管流量[tex=2.143x1.286]Sd6OIrsXw9myhNAmKMLwb1keXyMSiNL0QrXGgLxRcxo=[/tex]、 [tex=1.143x1.286]xnuzxzf1tFBrAIoFGk08Lw==[/tex]怎样变化。[img=284x172]17b87550af23dcb.png[/img]

答案：

解: 设主管阻抗为 [tex=0.929x1.214]gIu/cgf/ir/jG6eWo0oJaHXi58sCU/ShshkW1MphNfw=[/tex], 支管阻抗为[tex=4.286x1.214]eqijUfGDYCh8WG7KU9LEpQiAH2GyZDDbGK+cd7UOud1L6jsfGb58vgzNxYbUdn+3[/tex] 。主管损失为 [tex=4.571x1.5]Qlg9qSdK2XP+kl5dJyW2iMI+DWgdbZBxVXzEsnrgYeoLuWj4H4TrdP4FjY4pDLDUw8jp7qPcIOQmtxQKlXFN8w==[/tex], 支管损失为 [tex=12.214x1.5]TKFD1pmJRxmImxfmVNqAjG8QDlITY6u6s3xDImeY2sPku4RCQ7VvMgfeggGXk+JBKWkY98XQWKm4lmI9rwPoWAyh8NyNZsG6LV8Dg9Z8xwM/ihshu+Rx8dZQBItlsOLq+9U6NdAiwv0HkBUZylNKxSdo3cZEcz8cgmHMORhCyYv2uj4EQ/4Ug3YH+5NhO9a2[/tex]。[tex=20.786x9.357]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[/tex][tex=0.714x1.0]tvtB8rr3T9sn7Q/YdDnRow==[/tex]水泵扬程 [tex=25.571x3.357]l1ytvP+MbMXUV2SLlk0TMQ9cv4RkKPnDXiEBZMR2yItKIKluAf1giyspl4yrTpIr9Ui6KwdQD3//n2eVi2GMvVFVVIBAg39jxQ3npTwD1JwNKE0oMN+pM3p9KFNfUs0NxPzXTKG7V4BOtA0nYIsu8SCnOkmV9UTgV+2seikKjyhheWOULB6DPIwgNhGS+XE2BhZjisSMVCdDNtOlAofYir34gv6IWD9JXnVM2WGa0gJvnzK71s3MLpVHrniWaiWTsqXpitSvkZX5gDPKZowIBtIN+DnxJqZkQ961meoaKvmB/1El5HAWNgXJWip7veiL3P8megR2xZnEjB6xvP+NugAxQ4lz5dZkfxL98kW6Uevr579pUPNoVniQ3byC6e+I[/tex][tex=32.357x3.357]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[/tex][tex=16.714x3.214]b0j8wN8Ub+RaIjdcjkAMOZMnj57fsMgJWfhYwnegw1C1GOJoksDaXaUnA981MnD1p4qLsRLZeDinm8CPHuC5w6he9ffyljiobqgTWCXyRj1EpAjFvr+q9AzNoo9Mw2RVsPmef30aVwU3yRQilyOySEny1FIBsJ6QanNm3VRX6+j0x4/bEYrhX616SOzyi3biIlWD4N+rv1eXLwQihpDePS/PIbDNpvo2ZoWcXh/3TRvRNgH07cYj7BENOdx2gy6f/M++02OTutpeV61aAQagY8SVtLI9kPpiKeer9xka0EMhKkn2eTcP79by5ns1fsuCCUZgp/VkXVn6fR5fVhTxyHpDiq0AMsk7Zz04KLYJX4U=[/tex]对离心泵, 一般有 [tex=5.0x2.643]eHmJ6WkcVxLNZ4Gfz3qUfkojl3wEcjLmeryjooBj3yQaeNpdh5q+KXazAYvaTZ4z4DkXotUO31Skv/6rZXh6Nw==[/tex]成立 [tex=3.786x2.571]eHmJ6WkcVxLNZ4Gfz3qUfnVVazSw1jvli4BI0BwhuHF2j89q+sxrGWyZS5vj1xn3[/tex] 。即[tex=1.143x1.286]Y/4QiSQ0Vi3G10IuqAHBJj/ay8ziJg37QDb3+B/bjJQ=[/tex]减小, 而 [tex=1.143x1.214]oRMcuu3CDWpuM2ot50rys8g8HYritRABu662OkwtOj0=[/tex]增加, [tex=0.786x1.214]Qlg9qSdK2XP+kl5dJyW2iDjl6nIxWHVrrFCrYd4OvFs=[/tex]减小, 故 [tex=1.143x1.214]Qlg9qSdK2XP+kl5dJyW2iCtymZz2gQkdYrI+2xr5k+I=[/tex]增加。又[tex=6.929x1.214]2h1cXoIMAItqqvjLwKS5ZPYWuk/vBtmc+helruHbcsE=[/tex], 当 [tex=1.286x1.286]ZgLqNA/7diJg3f1MJFDjfg==[/tex]增加时, [tex=2.0x1.214]ufm0D1Yit+JZ9fwtyi3+2w==[/tex]不变, 故[tex=1.143x1.214]036YE3yghj6JFVoGJF0jYA==[/tex]增加[tex=2.143x1.214]ZOl7dmWVo7w/qjWTmG1N6twrlEqwyvQ1sdhXozvVlQ8=[/tex]减少答: 主管流量[tex=0.786x1.214]qWTwUSIEBK1EwCOmwQzggg==[/tex]减小, 支管流量[tex=2.143x1.286]Sd6OIrsXw9myhNAmKMLwb8YNxDzhGpU+FBf72syKckE=[/tex]减少、[tex=1.143x1.286]lGhbvrb+oVG2VK1Cpk1KJinNGt6Nr5+Pzrq5AW575b4=[/tex] 增加。

举一反三

内容

0
设h为X上函数,证明下列两个条件等价,（1）h为一单射（2）对任意X上的函数[tex=5.429x1.214]3BrfPgAFe5dbHQTMAYnbS+118W4YAj6CiW06EKMaxNI=[/tex]蕴涵[tex=1.786x1.214]pxzkG5OdsKT9CiCwC5OvPQ==[/tex]
1
求函数[tex=3.286x1.429]kdT+eIE7CHPynuN6CaN40g==[/tex]（抛物线）隐函数的导数[tex=1.071x1.429]BUw1BPFU3fsJlAl/vt9M9w==[/tex]当x=2与y=4及当x=2与y=0时,[tex=0.786x1.357]Hq6bf3CacUy07X+VImUMaA==[/tex]等于什么?
2
在长为[tex=1.0x1.0]mkTajOa+7PPnbjjou/+HYw==[/tex], 直径为[tex=0.571x1.0]QDHYLzpRIwhOrWBqGonCgg==[/tex]的管道上, 并联一根直径相同，长为[tex=0.5x1.0]3EF1VcotinZAjtQqtSWaxw==[/tex] 的支管, 若水头[tex=0.857x1.0]aPLFPHMGSKDwulHSwLWugg==[/tex]不变, 不计局部损失，试求并联支管前后的流量比。[img=363x163]17ad2805213e283.png[/img]
3
若:(1)函数 f(x)在点[tex=3.714x1.357]7VByCIzkNySq3s2l9I6f5zccNJDeV+6SQrVr3iwjgB0=[/tex]有导数,而函数g(x)在点[tex=2.286x1.0]DSJKaWfJALImFxxTg/8qhA==[/tex]没有导数;(2)函数f(x)在点[tex=3.714x1.357]7VByCIzkNySq3s2l9I6f5zccNJDeV+6SQrVr3iwjgB0=[/tex]没有导数,而函数g(x)在点[tex=2.286x1.0]DSJKaWfJALImFxxTg/8qhA==[/tex]有导数;(3)函数f(x)在点[tex=3.714x1.357]7VByCIzkNySq3s2l9I6f5zccNJDeV+6SQrVr3iwjgB0=[/tex]没有导数及函数g(x)在点[tex=2.286x1.0]DSJKaWfJALImFxxTg/8qhA==[/tex]没有导数,则函数[tex=5.643x1.357]GmtX7Vop79exGU/rpqXUYw==[/tex]在已知点[tex=2.286x1.0]DSJKaWfJALImFxxTg/8qhA==[/tex]的可微性怎样?
4
设计一个能对两个二进制数 [tex=7.5x1.214]qTqeSAxTjrUwfAYKj8hpF3ySU+Pup8tIfWfJfAsrXHGxvCBfkdKtRZyPYQqMvWm/[/tex] 和[tex=7.0x1.214]0i+5n5kP0TErW53BKzzq6V2jf6TVaH8S6EGaTgwjwxRmhTM4EuUU7obSfXd34mrP[/tex]进行比较的同步时序电路, 其中, X 、 Y串行的输入到电路 x 、 y输入端。比较从 [tex=0.929x1.0]wVICVfwx/+W8A4DO0okxuw==[/tex] 、[tex=0.857x1.0]r8PVUfTVe9go7IJ3Svh2Fw==[/tex] 开始, 依次进行到[tex=1.0x1.0]q9UUhdoW/JH6j/ftY+hOmg==[/tex]、[tex=0.929x1.0]gbnBR4PdIkGSunlJj42PhA==[/tex] 。电路有两个输出[tex=1.143x1.214]PDYJ7+YhY5TZwQc8wLO/ZQ==[/tex]和 [tex=1.071x1.286]thm8AX7dIh0+fBz67wWaXg==[/tex], 若比较结果 X>Y, 则为 [tex=1.5x1.214]jpD+haPonypMwyEhTGg4/w==[/tex], [tex=1.071x1.286]eVv1SxUCdIMjLjLT2Ncrrw==[/tex] 为 0 ; 若比较结果 X<Y, 则 [tex=1.143x1.214]PDYJ7+YhY5TZwQc8wLO/ZQ==[/tex]为 0,[tex=1.071x1.286]eVv1SxUCdIMjLjLT2Ncrrw==[/tex] 为 1 ; 若比较结果 X=Y, 则 [tex=1.143x1.214]PDYJ7+YhY5TZwQc8wLO/ZQ==[/tex] 和[tex=1.071x1.286]eVv1SxUCdIMjLjLT2Ncrrw==[/tex] 都为 1 。要求用尽可能少的状态数作出状态图和状态表, 并用尽可能少的逻辑门和触发器（采用 J - K 触发器 ) 实现其功能。