• 2022-06-03
    利用[tex=17.357x1.357]PQl1l0a4MCf1jR+u26PB2xnqAMy6f/cWU78yLzY8UOmllrkSB0xYC01l5TrjXZtKVK94VSnFKnXlnbnAZDtdEg==[/tex],[tex=2.143x1.143]KgN4bA7t2v9f/+GMkZKZug==[/tex],求证[tex=14.286x1.286]5teKy8wfU3nhKxPvu1jD7oDzUwwFB1FCgzVlwGwyY2lT0pAzu8rRXEZMUjBUVlEMX7IG2lNg30Lsg2qAFRtCDA==[/tex],[tex=2.071x1.286]3/YH3lhmFpT1qsGHcucVjw==[/tex]。
  • 证:对勒让德多项式的递推公式[tex=19.643x1.357]D6xhIZraUXy3M9PJY5F0oRUmYBf1lOIsSBTlQZ1ujL1YCKXQIPGXTILAgmOAoHBX17iCilRAukKF3Iq+Cja1RA==[/tex]两边对[tex=0.571x0.786]ZKO2xs0EgSemzoH7MSmYTA==[/tex]求导,得[tex=28.5x1.286]FkIOQN/TENsSajzD/j5wMO8WVI6nZ/l0P8F92V2GYVUjRySyS43lc2gD3BKurfIThyk32n3WeHa73gRiJ+FjDPMktVKrOGCjaiUjw/cSrweUWVWolspWgmqEIWiYFSVsvD81uojTuCIsWPoqJVbFTA==[/tex]可得:[tex=17.857x1.286]Ofo+5F5IvpZOt8l8McAWGiASrVH0oizoj3gd4PJa/tM4+Oq7okkt9mmvIjMJzMjYoO/t9oB6E034iyvNBBjJ/OS65/djOHHLHDgz4t/tsqAX+X2/UCuYkNsFDd3GduWM[/tex],[tex=4.857x1.357]NkYK1650YON+aglhq7CFCO6H01XmKIlyiNa//r/Z6ZI=[/tex],得[tex=15.714x1.286]HoUkdOmhcnDS9ecxxxMzZAxgCjk1fNWgdr13cqCZFh9q84zw4HpYV0f0NaCui9Uu+RWM1yMW+s9hXkE4m3ezmK+UwkUByvrN3jAgk8a1NYM=[/tex]。从(3)及(4)中消去[tex=3.214x1.286]HoUkdOmhcnDS9ecxxxMzZB9Bq/XTeGh6MjPaDTWS2Js=[/tex],得[tex=13.286x1.286]D1ExiTlDw90+2iLh+vVhzOya9dTWMTAezZGCQ9dgBlrVkRuW0Sx8EMltVsv4Kv4I2IeydI80Ev2IUxcZQaJeQg==[/tex]。(4)+(5),得[tex=14.286x1.286]5teKy8wfU3nhKxPvu1jD7oDzUwwFB1FCgzVlwGwyY2lT0pAzu8rRXEZMUjBUVlEMX7IG2lNg30Lsg2qAFRtCDA==[/tex]。

    举一反三

    内容

    • 0

      【计算题】5 ×8= 6×4= 7×7= 9×5= 2×3= 9 ×2= 8×9= 7×8= 5×5= 4×3= 5+8= 6 ×6= 3×7= 4×8= 9×3= 1 ×2= 9×9= 6×8= 8×0= 4×7=

    • 1

      6个顶点11条边的所有非同构的连通的简单非平面图有[tex=2.143x2.429]iP+B62/T05A6ZTM0eeaWiQ==[/tex]个,其中有[tex=2.143x2.429]ndZSw3zT0QTOVLVdoUto1Q==[/tex]个含子图[tex=1.786x1.286]J+vVZa2YaMpc6mJBbqVvWw==[/tex],有[tex=2.143x2.429]lmhx48evnQMhi03NovPXig==[/tex]个含与[tex=1.214x1.214]kFXZ1uR8GjycbJx+Ts2kyQ==[/tex]同胚的子图。供选择的答案[tex=3.071x1.214]3KinXFh3SXhZ7nIe1y9KEV6aadxhhJWeEy6Dij1iObdMUZkY6ZA5J2dVVjPSuhEf[/tex]:(1) 1 ;(2) 2 ;(3) 3 ; (4) 4 ;(5) 5 ;(6) 6 ; (7) 7 ; (8) 8 。

    • 2

      【单选题】Which of the following matrices does not have the same determinant of matrix B: [1, 3, 0, 2; -2, -5, 7, 4; 3, 5, 2, 1; -1, 0, -9,-5] A. [1, 3, 0, 2; -2, -5, 7, 4; 0, 0, 0, 0; -1, 0, -9, -5] B. [1, 3, 0, 2; -2, -5, 7, 4; 1, 0, 9, 5; -1, 0, -9, -5] C. [1, 3, 0, 2; -2, -5, 7, 4; 3, 5, 2, 1; -3, -5, -2, -1] D. [1, 3, 0, 2; -2, -5, 7, 4; 0, 0, 0, 1; -1, 0, -9, -5]

    • 3

      【单选题】请用地点定桩法在4分钟内记忆数字。 4 0 1 3 6 3 5 1 9 8 8 9 7 2 9 3 0 9 5 3 1 7 7 5 2 3 3 0 5 0 1 4 1 3 8 3 5 7 9 7 (5.0分) A. 已背 B. 未背

    • 4

      (1)5 7 9 11() () ()()(2)26 23 20 17()() 8()(3)1 2 4 7 11() () 29(4)7 3 8 3 9 3()()(5)1 1 2 3 5 8()()