证明[tex=18.214x1.357]+YYznlaPimV73meY8O3dsESlYXpgdKYwKANo5GNEYh9sbQ19ONffEo6cL3a5OB/wqFxfv5pboOLAmaY5OLjC1Q==[/tex]是模[tex=0.929x1.214]f1SmhPBmgBjDhG0NJB/5xg==[/tex]的一个完全剩余类。

证明下列函数是给定方程的解（其中a，b，c为任意常数）：[tex=18.214x1.357]gD+5HAGfBs1gut4Nflnz9YSOQrsA7bmrqol2TosWQYxCnGD3eeC0oiEXXPd7/81s/rsaFTcbGNEa7OY/rItuMCt9vhq3rmU3krkolbwK3Tc=[/tex]

某晶体管的[tex=18.214x1.357]KN5hmJWXSOKxwGzxlYt3QqWGWQ5F/rfEUo4odYNI5z/cBB6kGdFc6mNLsND3z3NgHdgriBCxOlIhFQNrw9/zug==[/tex], 试问在下述情况下,哪种是工作正常的? (1)[tex=7.857x1.214]4M8OfRBxoTZ6O+UAlsie9jd48tDW056hViMwcwRbd6o=[/tex]; (2)[tex=8.214x1.214]oDsFESkv27NWOh6f8LBetQ7vQl67GNvDq2R83XXz/E4=[/tex]; (3)[tex=8.571x1.214]fx6b4SocjzzYrAMqQwxeFEfoRzGSgCRdytqdyNIMnaQnZyrXYDIH00QugRD0iwyG[/tex]

在[tex=2.357x1.0]m5fKCA0WGhfJpuVc0VWfdw==[/tex]时,有电池:[tex=18.214x1.357]47pHpajQZSBuLLgBmriX+tBhhH0Gm1HCy9j/gLXqkSyWV+19Nm07dH5rjJ0m/PxPWAl6nF43zCd/6gb3xg6iTtcpDzedO+pW8j9jz0Ali+g=[/tex],已知化合物的标准生成Gibss自由能分别为:[tex=32.214x1.5]hGXI8IHY9x82srp80/KXR2MRbBsjEJOAQP0EmJp4gIEhLsjGuzNGutAQSnLFJE0ef/VZjMLAlsY1U+Kvkz9pnV8mzxdTssQsBw7/90VP1AdI41fLdliWCwqpv4SiPaWQBzoW/O35LSmfK8ORBoz2Xn4FbnNI8Sfq/1p8JQXaAsVDFKUhGzDN3iHpPcBs2H0H1hG2W2lVrc3DO2M97o1dEllAXn4hEtPo2+JmqHBLrT0=[/tex]。试计算电池的电动势。

设 [tex=3.714x1.214]DHtnfSoh6bzU7RVzArKzTN9lLnnXrxk5tvdejbqeTm8=[/tex],  又[tex=7.929x2.786]80Wj0uAKV+7pqHZEfv32mMcC7kUILtDqVZ6LHnjKWcm5ZYM/mwDI+W/lSRo7uHB1Dj6170QUps/CbNWbVeQK6oCxayJpEZvY2XNAFyL6tW9WqhmU0aMCXyEIx1wAH7yn[/tex], [tex=18.214x1.357]asXUOYddKc57fCVzYaZ6jPyXIAZ78u01hBhTzXO5FYEOZQuHlE3CN4FmEFtwmZmQhOtqVp2b4JoxSHmiWy/kXivxyOPwh91Lr6SzMAoKYv3juZcgn1TRfx7AW03g1kC4POXnZ4uRwCNSY+7tBl8cvqZqTDLHBtJwpAMRnlbpniE=[/tex].则存在正交矩阵 [tex=0.786x1.286]dSWbQCTjdbLxKy7q0ps2gg==[/tex] 使得[p=align:center][tex=7.143x2.786]z6dVk/ZZeap1XeWgy3TquY8Yu/gksRxLGT8edb7LTL98aYVbh25jvWw99pDTwnjAWrkYJk8o6kc9zf/ySDhPxYkTET379wd7RUgKV3qHqyA=[/tex].

在[tex=2.357x1.0]m5fKCA0WGhfJpuVc0VWfdw==[/tex]时,有电池:[tex=18.214x1.357]47pHpajQZSBuLLgBmriX+tBhhH0Gm1HCy9j/gLXqkSyWV+19Nm07dH5rjJ0m/PxPWAl6nF43zCd/6gb3xg6iTtcpDzedO+pW8j9jz0Ali+g=[/tex],已知化合物的标准生成Gibss自由能分别为:[tex=32.214x1.5]hGXI8IHY9x82srp80/KXR2MRbBsjEJOAQP0EmJp4gIEhLsjGuzNGutAQSnLFJE0ef/VZjMLAlsY1U+Kvkz9pnV8mzxdTssQsBw7/90VP1AdI41fLdliWCwqpv4SiPaWQBzoW/O35LSmfK8ORBoz2Xn4FbnNI8Sfq/1p8JQXaAsVDFKUhGzDN3iHpPcBs2H0H1hG2W2lVrc3DO2M97o1dEllAXn4hEtPo2+JmqHBLrT0=[/tex]。试写出该电池的电池反应。

在[tex=2.357x1.0]m5fKCA0WGhfJpuVc0VWfdw==[/tex]时,有电池:[tex=18.214x1.357]47pHpajQZSBuLLgBmriX+tBhhH0Gm1HCy9j/gLXqkSyWV+19Nm07dH5rjJ0m/PxPWAl6nF43zCd/6gb3xg6iTtcpDzedO+pW8j9jz0Ali+g=[/tex],已知化合物的标准生成Gibss自由能分别为:[tex=32.214x1.5]hGXI8IHY9x82srp80/KXR2MRbBsjEJOAQP0EmJp4gIEhLsjGuzNGutAQSnLFJE0ef/VZjMLAlsY1U+Kvkz9pnV8mzxdTssQsBw7/90VP1AdI41fLdliWCwqpv4SiPaWQBzoW/O35LSmfK8ORBoz2Xn4FbnNI8Sfq/1p8JQXaAsVDFKUhGzDN3iHpPcBs2H0H1hG2W2lVrc3DO2M97o1dEllAXn4hEtPo2+JmqHBLrT0=[/tex]。试写出该电池的电极反应。

在298 K时，有电池：[tex=18.214x1.357]47pHpajQZSBuLLgBmriX+tBhhH0Gm1HCy9j/gLXqkSyWV+19Nm07dH5rjJ0m/PxPWAl6nF43zCd/6gb3xg6iTlzh+sJapuL+S4TjwNsHT90=[/tex]。已知化合物的标准生成Gibbs自由能分别为[tex=30.643x1.5]7kB4mvx3ly+dnAjTWE16ERBIpO71UlQY8s40fITgtQnfqpldXRcIfnPt0XRUSUdXOMoBfu/Yi/jfhWUB561ifwspAaoybO+otiNxmcSlwRLUga2vRcUNqS++zcxJnQn8GsSMtWn1E0VpmcHXCl6JGdX/qy/ag38cGB68/BnHGFLgcidl86xKVbaWYOOhNDym7FYS630UU+XwcaN4R85KUA==[/tex] 。试写出该电池的电极和电池反应，并计算电池的电动势。

下列变量组（）是一个闭回路。 A: {x，x，x，x，x，x} B: {x，x，x，x，x} C: {x，x，x，x，x，x} D: {x，x，x，x，x，x}

以下谓词蕴含式正确的是（）: (∀x) (A(x)→B(x))=>( ∀x)A(x)→(∀x)B(x)|(∀x) (A(x)↔B(x))=>( ∀x)A(x)↔(∀x)B(x)|(∀x)A(x)∨(∀x)B(x)=>( ∀x) (A(x)∨B(x))|(∃x) (A(x)∧B(x))=>(∃x)A(x)∧(∃x)B(x)