求从原点到直线[p=align:center][tex=10.071x2.786]V12vFeAkC+dF3aEtkezG0KWW3XT6KxoP/jTiiFknd26vOkMf6zmkaLS2O28A6lnA7CApzS/jyz9MuyUHPTP3cvr/hMKUYjOwIuYczVRHbV0=[/tex]的垂线和垂足.

设[tex=5.643x3.286]MD+T8GOsrNojwtgUBdF6g4K+FvPQ8eZHJD3QvJWq7XAogYidw4s8qGqquIl7JiFo[/tex](黎曼[tex=0.786x1.214]qL6byTC3IJTN/MoEDklflg==[/tex]函数)而[tex=6.571x1.357]qtBDYhGLKDHwbdV989eQdO9fIH36eZUAKYW/KsXTtjY=[/tex]是素数数列，证明[tex=10.071x2.786]7J9LCm4az+pSX5Tt/KfIoGijqoDaxpmomWuYB3XL1y58TW+0TBMQF7uuPLZq4bJJDKgkVBIMu/TulB+hsZZGlV3XLeFahtRvio0FmEAHj2k=[/tex]。

设(1)[tex=1.786x1.357]GYJ7X7XJijqizBuSGMrl3g==[/tex]在邻域[tex=6.0x1.357]TbjTabKPAbW5M3xylj0WxAksY6TR3a7a+hAz5Uq/zfc=[/tex]内解析，[tex=0.857x1.0]KInWOYOIU+u9wjpJut/pOQ==[/tex]是[tex=1.786x1.357]GYJ7X7XJijqizBuSGMrl3g==[/tex]的[tex=0.929x0.786]VF0GLe2VBE/4VKNzpyOfFg==[/tex]阶零点；(2)[tex=5.786x1.214]4VYh5uamsxBV1uTqa6TRuCiTmZtj0d5yUt+PWCxzD2I=[/tex]问函数[tex=10.071x2.786]+Wlo86wrHdaCMv1MzsraKR1A5GmEgFIQFngJl1xxH6fTX5rRet7Edq3iHI1ash2KUsNp+8jEMyMuhme2tKRvpg==[/tex]及函数[tex=10.071x2.786]yI78bZs0BqG8Z1ZppMaJzFnmI8xKLhTP4J9prve0KkB8OjMp0DUIU1NgAImi++QbUnB5rp80QgJXNK72s1HNShbPTxy0daNjstcKLtM7hhU=[/tex]在点[tex=0.857x1.0]KInWOYOIU+u9wjpJut/pOQ==[/tex]的性质如何？(这里积分路径都假定在[tex=0.857x1.0]FfIhW8W8Jb8XV2jfmtoNZA==[/tex]内。)

下列函数中，在点[tex=1.857x1.0]3eSlq+W5GTl4xGu7dhqzgw==[/tex]处可导的是 未知类型：{'options': ['[tex=4.357x1.357]iEk2Te07Iqh7WEF7DvM4eA==[/tex]', '[tex=5.357x1.357]G9I+liVXtHTTGQlwonW9C5n4vBK5oe6kppSd61V8i6c=[/tex]', '[tex=10.643x4.0]abCE7E/WD5q4TQOibtpvEb2gPkU/rJvTUXSY3gNVzCCAXD8lZiBer6S7LjZCZP2l7i2sTk1pOlrW2G88uO6dwys/WYHpaEp83R6PpqrobT1qt8EXzDwLOe9YrOTqHw4J[/tex]', '[tex=10.071x2.786]w70lG1NUs5ZRhKHaXMaifahNYA2l55OVx/YI5vl5IU7uhz+F8b/GGwU+r6K/snpF+2WKkMPDg3lIFY0YjMr7iewY9F5IpbRMSYebulTMVErfnhUTMHeiQMRTRorzkEpx[/tex]'], 'type': 102}

下列函数中，在点[tex=1.857x1.0]3eSlq+W5GTl4xGu7dhqzgw==[/tex]处可导的是 未知类型：{'options': ['[tex=4.357x1.357]iEk2Te07Iqh7WEF7DvM4eA==[/tex]', '[tex=5.357x1.357]G9I+liVXtHTTGQlwonW9C5n4vBK5oe6kppSd61V8i6c=[/tex]', '[tex=10.643x4.0]abCE7E/WD5q4TQOibtpvEb2gPkU/rJvTUXSY3gNVzCCAXD8lZiBer6S7LjZCZP2l7i2sTk1pOlrW2G88uO6dwys/WYHpaEp83R6PpqrobT1qt8EXzDwLOe9YrOTqHw4J[/tex]', '[tex=10.071x2.786]w70lG1NUs5ZRhKHaXMaifahNYA2l55OVx/YI5vl5IU7uhz+F8b/GGwU+r6K/snpF+2WKkMPDg3lIFY0YjMr7iewY9F5IpbRMSYebulTMVErfnhUTMHeiQMRTRorzkEpx[/tex]'], 'type': 102}

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)

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)

判断下列推证是否正确。 (∀x)(A(x)→B(x))⇔(∀x)(￢A(x)∨B(x)) ⇔(∀x)￢( A(x)∧￢B(x) ) ⇔￢(∃x) ( A(x)∧￢B(x) ) ⇔￢( (∃x)A(x)∧(∃x)￢B(x) ) ⇔￢(∃x)A(x)∨￢(∃x)￢B(x) ⇔￢(∃x)A(x)∨(∀x)B(x) ⇔(∃x)A(x)→(∀x)B(x)