求通过直线[tex=7.429x2.786]fnpmC2J6JmQBLyo5NmGAz4vgTnUpT/VL+6jSLUoINRzCE5jPMVe9mg1+fSHEIpu0r6OfSgZqhvEjyxIaAMxBRw==[/tex]且平行于直线x=y=z的平面方程
求通过直线[tex=7.429x2.786]fnpmC2J6JmQBLyo5NmGAz4vgTnUpT/VL+6jSLUoINRzCE5jPMVe9mg1+fSHEIpu0r6OfSgZqhvEjyxIaAMxBRw==[/tex]且平行于直线x=y=z的平面方程
将下列曲线的一般方程化为参数方程: [tex=7.429x2.786]fnpmC2J6JmQBLyo5NmGAzzXfXYI1SwUaIBANKF46CY4zvTZVbTbA+HqnDdam6BY7tHGc7tIJe0zNMlb1NlTNITzLFN2UzKX2TjnFI77FHrSUjiZeZ4hDvANsLp1ij/sNDX8iJJq3u/BEClYJtTimEw==[/tex]
将下列曲线的一般方程化为参数方程: [tex=7.429x2.786]fnpmC2J6JmQBLyo5NmGAzzXfXYI1SwUaIBANKF46CY4zvTZVbTbA+HqnDdam6BY7tHGc7tIJe0zNMlb1NlTNITzLFN2UzKX2TjnFI77FHrSUjiZeZ4hDvANsLp1ij/sNDX8iJJq3u/BEClYJtTimEw==[/tex]
求正交矩阵[tex=0.786x1.0]8u8RgTvk1Un8XIE1vzK+E0XozvRXNNy0wJgLQgxpDk0=[/tex]，使[tex=3.286x1.214]S1GidTLSyBKkMe0ZmrCgKi3s1Tu4yRjVkNDRdfWjsZnOWBctY+HvfxL9znh9BfUB[/tex]成为对角矩阵，其中[tex=7.429x2.786]+HNIZcMaSzNwCe0LO7bsUq/nNqiD9uPVTX2/0HTi4M3o4KaBNU7kGH637p6Er6AASXi9tKqyQwZZIFK6sQLKLacXSbV6+/MpInUsdyWKE2k=[/tex]．
求正交矩阵[tex=0.786x1.0]8u8RgTvk1Un8XIE1vzK+E0XozvRXNNy0wJgLQgxpDk0=[/tex]，使[tex=3.286x1.214]S1GidTLSyBKkMe0ZmrCgKi3s1Tu4yRjVkNDRdfWjsZnOWBctY+HvfxL9znh9BfUB[/tex]成为对角矩阵，其中[tex=7.429x2.786]+HNIZcMaSzNwCe0LO7bsUq/nNqiD9uPVTX2/0HTi4M3o4KaBNU7kGH637p6Er6AASXi9tKqyQwZZIFK6sQLKLacXSbV6+/MpInUsdyWKE2k=[/tex]．
设有分块矩阵 [tex=7.429x2.786]gnJdtx18Gteda4cw1elCaw1rz7PGYBU/xDTd1JTsusqVW9+Shw4COtbhNU0sMrzGGwpSEvJwrsJ0F+HwJmh6yb2a0kAHbYlQPC3hxuq8i8Y=[/tex]若 [tex=0.786x1.0]b4HkKtHXeHofHX/gJc8Agg==[/tex] 是非异阵, 求证: [tex=12.5x1.571]pe8Ke6V3FDxHfVZ/duAdACj6TosEAC22Ro4LUh0qbD0eevnuRoUDGlfgpt/b+5V04H0wT1btOnwvFucz02ShVQ==[/tex]
设有分块矩阵 [tex=7.429x2.786]gnJdtx18Gteda4cw1elCaw1rz7PGYBU/xDTd1JTsusqVW9+Shw4COtbhNU0sMrzGGwpSEvJwrsJ0F+HwJmh6yb2a0kAHbYlQPC3hxuq8i8Y=[/tex]若 [tex=0.786x1.0]b4HkKtHXeHofHX/gJc8Agg==[/tex] 是非异阵, 求证: [tex=12.5x1.571]pe8Ke6V3FDxHfVZ/duAdACj6TosEAC22Ro4LUh0qbD0eevnuRoUDGlfgpt/b+5V04H0wT1btOnwvFucz02ShVQ==[/tex]
设[tex=19.929x11.929]sSXBpxJWudVpH1R35o4LnKvtZs0TrDJXIh/TFrG3j2VFQqqVyFPVOthOnDF1gBjDrC7O464FjwH8RuWvaAQVVjWKn3YpCFrK5n8eyfeFjjB//iLR9oc1CwkPd3hQBBWMf7rg3SVsF6GpNyCLICCJHaPKcNOx/8NupT0M1rVG2f8w0HY0hpSGaZmnC+wpiMOgnB09M7jO59M0Y6dEih0RpCOTyw8qGFUZ9U/moxNWqKEhoTBvzn/+qpnJlooU7Z2ImuX3WMzY3ghmrKTu2KWpNhbq8Agy+Goe18gxjOej8Fqd72bWCv6Jg6RZB54geoAUASSohf2eEAdoJ6EIa2HhxZRGVbnOAxYZZtfUt1k/8z7nBBdI9s+0eBWFkoEvdqGOhOOGxBc0VrlrZtATeTaFdQ==[/tex]证明: [tex=8.643x2.786]FFxUYTfb66uegJ8r7lBBYgdyQBzl9IMNQCYF45ICdJRogZ4fbiWjWUaeB293gocbxob+NzCTXP1L7X+vVMwosuoVvTVDVTljhSu8IdoBdRLhkekmblpkfyaAppXc5qns[/tex]你能进一步证明[tex=7.429x2.786]NovbxKl63Ey/milqTcbe/+d6/uRW0/0eWJlaqae8MMd4UoMV3a1o2dAHv7QgbUPV9pLRHiuwFIjZTD1i/HeanRZaLaLtWI6YVaYGxwfNhznJB116WdJuFTHXCwbuUG9P[/tex]吗?
设[tex=19.929x11.929]sSXBpxJWudVpH1R35o4LnKvtZs0TrDJXIh/TFrG3j2VFQqqVyFPVOthOnDF1gBjDrC7O464FjwH8RuWvaAQVVjWKn3YpCFrK5n8eyfeFjjB//iLR9oc1CwkPd3hQBBWMf7rg3SVsF6GpNyCLICCJHaPKcNOx/8NupT0M1rVG2f8w0HY0hpSGaZmnC+wpiMOgnB09M7jO59M0Y6dEih0RpCOTyw8qGFUZ9U/moxNWqKEhoTBvzn/+qpnJlooU7Z2ImuX3WMzY3ghmrKTu2KWpNhbq8Agy+Goe18gxjOej8Fqd72bWCv6Jg6RZB54geoAUASSohf2eEAdoJ6EIa2HhxZRGVbnOAxYZZtfUt1k/8z7nBBdI9s+0eBWFkoEvdqGOhOOGxBc0VrlrZtATeTaFdQ==[/tex]证明: [tex=8.643x2.786]FFxUYTfb66uegJ8r7lBBYgdyQBzl9IMNQCYF45ICdJRogZ4fbiWjWUaeB293gocbxob+NzCTXP1L7X+vVMwosuoVvTVDVTljhSu8IdoBdRLhkekmblpkfyaAppXc5qns[/tex]你能进一步证明[tex=7.429x2.786]NovbxKl63Ey/milqTcbe/+d6/uRW0/0eWJlaqae8MMd4UoMV3a1o2dAHv7QgbUPV9pLRHiuwFIjZTD1i/HeanRZaLaLtWI6YVaYGxwfNhznJB116WdJuFTHXCwbuUG9P[/tex]吗?
用合适的坐标变换计算下面积分值.[tex=7.429x2.786]qJCV9oMuCSSbqVGRrFO0fg5hzIiITbQb4EqCENEhbpW4QqKuTxy3WGIhGV9TzKzr1QU2xL+Mp9Es8uh6YT/Nak8XdpdoCW3mlbeX/1yj5XFHUEZ6putL4oCpuef+CCEQ[/tex], [tex=0.714x1.286]1YkIdjxXLHdjdjLEO+eusQ==[/tex] 是由 [tex=5.143x2.143]7/JB5g+fIDF7GMtFCzHJQkfuImMVma5aD5AB9SubFz4=[/tex] 及 [tex=2.286x1.286]hW5Ac29gcX2YJno8Ypzqmw==[/tex] 围成的立体区域.
用合适的坐标变换计算下面积分值.[tex=7.429x2.786]qJCV9oMuCSSbqVGRrFO0fg5hzIiITbQb4EqCENEhbpW4QqKuTxy3WGIhGV9TzKzr1QU2xL+Mp9Es8uh6YT/Nak8XdpdoCW3mlbeX/1yj5XFHUEZ6putL4oCpuef+CCEQ[/tex], [tex=0.714x1.286]1YkIdjxXLHdjdjLEO+eusQ==[/tex] 是由 [tex=5.143x2.143]7/JB5g+fIDF7GMtFCzHJQkfuImMVma5aD5AB9SubFz4=[/tex] 及 [tex=2.286x1.286]hW5Ac29gcX2YJno8Ypzqmw==[/tex] 围成的立体区域.
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}
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)
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( $x)B(x)
下列式中错误的是： A: (∀x)(A(x)Úp(x)) Û (∀x)A(x)Ú (∀x)p(x) B: ($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)