试问罗尔定理对下列函数是否成立?[tex=8.929x2.429]wgE3t6uBjidKx49qytqs/kJJSQ4PEAAXKn6mvBUASaMAlX00o6tLEVLUneLHuHCN[/tex]

研究[tex=8.929x2.429]JaaFmdweDxVQzS9t+QrCalTZ0baBRlejkV5DU5s7Zj8xP382rwELlp9w6qAUqZ8WqjOVhksxhGqFRFmGfMJG4+/sNqCpe0Wr/nQ6xOybZG0=[/tex]各个不连续点的性质(即为何种不连续点)

设 [tex=6.071x1.357]JkLht0zdxT+Zz2nd8Xe4YEVkODcXmWZsbwf7lpbEe5Q=[/tex] 都是具有一阶连 续导数的函数,证明(1)[tex=8.071x1.357]TybjLtRQYj9/+k1pFZHuevfjpS2PJZ2ClXpnAFF1AMQTJ/PzFl8EOsFIzePFDS6t[/tex] ;(2) [tex=8.929x2.429]E0qG6EAbRZrs1+wG+bhnT4bPEH4WxHwmX9NKEXRwSNZ7NJwNdSG4gZoE+AdFXWsHvrxwRXjeiQWdcbobIKBzVmz2bKfjeSFeNv6lOa1bA2I=[/tex] .

下列等式成立的有(   ) . 未知类型：{'options': ['[tex=7.0x2.357]MhC0sa4kP8ihnFHLNuEHS2ScHM5XtKE+T/FCWeij4ncq53qLX2t6R8mgfYZ2n6ts4iY6q9lxzY8CnhQ25Odw1Q==[/tex]', '[tex=7.643x2.5]MhC0sa4kP8ihnFHLNuEHS67DQg3r0jOiceX7iwXT+rm38fYsnGcYoDEeNPibjohxlb63dYF5mem9eQXeGCZA9g==[/tex]', '[tex=7.857x2.714]MhC0sa4kP8ihnFHLNuEHSzdLTBmtqr5JpbG7bP1MrmaaINues2fUYKng5dBn9127atXcZwzSFusVH7LDohelYQ==[/tex]', '[tex=8.929x2.429]MhC0sa4kP8ihnFHLNuEHS9WRDp31th7Y7XaZ5d/AF10CTF90J/A91e0Zcr5/zL+Kv+7KHLOucCit8fKhQZXXZA==[/tex]'], 'type': 102}

下列等式成立的有(   ) . 未知类型：{'options': ['[tex=7.0x2.357]MhC0sa4kP8ihnFHLNuEHS2ScHM5XtKE+T/FCWeij4ncq53qLX2t6R8mgfYZ2n6ts4iY6q9lxzY8CnhQ25Odw1Q==[/tex]', '[tex=7.643x2.5]MhC0sa4kP8ihnFHLNuEHS67DQg3r0jOiceX7iwXT+rm38fYsnGcYoDEeNPibjohxlb63dYF5mem9eQXeGCZA9g==[/tex]', '[tex=7.857x2.714]MhC0sa4kP8ihnFHLNuEHSzdLTBmtqr5JpbG7bP1MrmaaINues2fUYKng5dBn9127atXcZwzSFusVH7LDohelYQ==[/tex]', '[tex=8.929x2.429]MhC0sa4kP8ihnFHLNuEHS9WRDp31th7Y7XaZ5d/AF10CTF90J/A91e0Zcr5/zL+Kv+7KHLOucCit8fKhQZXXZA==[/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)