试写出下列各电池的电极反应和电池反应[tex=15.071x1.357]aObGoT3xp2UEOCOQVyYE4PTf7aQ9Gi1hWbv10zpHaNynluzUzpiVYulwVX8EBWQJIrpoL8Z14DNGoZXjIUhN5A==[/tex].

设[tex=2.857x1.143]446YAd9xMscqJyItUt6RSVMwX4oIsO6fVgpkWF8D39g=[/tex] 和 [tex=2.714x1.071]hLoYmsX9EEklCqfE4eV5oA==[/tex]证明:[br][/br][tex=15.071x1.357]UwYOzl+hvy3ZAjNT/g6J9olERXbKk2rC5uVxDBpiPNDPSZkIYRzY7TKgKs5Zuw/EeGP9KU01CeCcZ6ttBfrKO8HzlC1EqxSEOJFVjUCoCuQ=[/tex]

写出经过三点：[tex=15.071x1.357]betu9GEJq0TDhmIlos8hki7m/OJAsNOkLf/Zk4yC0u7AqMM5KMFxTjSqrO8DRzvwVjAI2WCXJfOq+sKWoj5SCiXVqOFSzrzREXOTk+ZKg7/3UO7m9NKli1ATpOuSpkNg[/tex]的拖物线方程[tex=5.786x1.429]hSurE+yrHHCxNtYWaQESYOk0v+iIsTSYAG/y6agn8to=[/tex]。

求函数[tex=15.071x1.357]laEzR1IUAbB3F6co2ymLhc4Tm5xpwYK3+nsgsnQcCAuMUweOiTTZcf789YPGmsUiyFyuvUA85sT4pqqL5V/X4m1ckAKRt4r6gkDRC5iR7fQ=[/tex]在[tex=6.929x1.571]+2Hyrq6ox90t7289xt4t0HTvgtJhS1NyVAmR3IWQQU0qM8Es8MnRR6+SfVkJ81FNj4YBnbhoa6Z4gy7U+ZcBZg==[/tex]满足条件[tex=9.857x1.5]LBsOvfnIPsFtSjGiQb7K/g7Bdd6/d6muC1TSJ8R7DHkxix41zofBUeFjZ2KvPBDRdM0vwZc6/+vsj6Du60dd2ukCgKrf+PIedUgd2oUNvIQ=[/tex]的最小值。

设 A, B, C 是任意 3 个事件, 且 [tex=4.0x1.357]gAfOC6+v8lI5jWycgmtUbw==[/tex], 证明:(1) [tex=19.857x1.357]8owXj+fVlIkQio4ts8wme7XuIMyJr/SdaUYNpWu84lppg2m933119Vcu5zrXANjkjqGDC6Wa66Fr3flNynEZUQ==[/tex];(2) [tex=15.071x1.357]N4VhiXOswKqUOr+ZDWdSH53Hwai7otgDY/NY6r3RVghbS/xnrQmOwzaCNYB8kkIG[/tex] ; (3) [tex=9.571x1.429]wVEpJVOWDPAN0MT8WbKaw5SkHXMnk9EI9I+4jfD8KrzywdyPB4UkK70CHV+0xnXD[/tex]

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)

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)

符合下列条件的急性肺损伤的病人，即可诊断为[tex=3.0x1.0]tG7AuwGGOLlcCb7Ee86LGA==[/tex] 未知类型：{'options': ['急性肺损伤病史', '[tex=14.714x1.357]dn+Q/tSu9QOUfNKU+4R+8W1G6Wmbte352HW3GZj6EwGd1JjjLCLXuMWgpAdHPO3QpSutaAEjiB3wJkXbRc/ftg==[/tex]', '应用[tex=2.786x1.0]n8SWaldvqnCjfua+hGL6Xg==[/tex]', '[tex=15.071x1.357]0Xn6iJBBUz8Gi+qHkaTyft9xVOfrEYQOOXchHm6q5SGBaJUFugYV3fVCylmSNXhYnBowdVE5qU10GAI2Jxsh/A==[/tex]', '[tex=12.143x1.357]y+WSRZS76ThKKlY2FUa00LjKnbeLecOEVZj1Gp0O65yGvuMFQQThtKqj9kjivVGX[/tex]'], 'type': 102}

下列式中错误的是： A: (∀x)(A(x)Úp(x)) Û (∀x)A(x)Ú (∀x)p(x) B: ($x)A(x) Ù p Û ($x)(A(x) Ù p ) C: (∀x)(A(x)ÚB(x)) Þ (∀x)A(x)Ú( ∀x)B(x) D: ($x)(A(x)ÙB(x)) Þ ($x)A(x)Ù( $x)B(x)