• 2022-06-11
    在下列情况下求矢量场的散度;[tex=6.357x1.357]NovbxKl63Ey/milqTcbe/+c3cnXKvF11++vHVdrqa0DyCGlNFqQ1Mxddzms+4eEj[/tex]
  • [tex=13.214x2.786]NovbxKl63Ey/milqTcbe/+c3cnXKvF11++vHVdrqa0DEBHRUTKTjoSIv3nhjm83cYlIACWrSk5dNlKyVHQ88lANTovO94cOLGnccfhxZYO0Ay6xyAyzoi7iUzXfeUKTYSy+9UcB2gnNoLB79TqfnLQ==[/tex][tex=15.857x5.0]AHBF1RHBNu5ioVDBOcEcUKPbXWKrclEMMJDPbMF93fYwixNT3W3e01D5Mweb+rXwEJS+w8uW2QSbLwkEQ5fm5Uy9lVzGO30LQ6aj4ln3fLdK6QF5aMFeEOdZa2oWwBTJqnnYS1+IRdgfS3uZuagaUcncdNn4sInZynp6C/9VnKQFuu4P03EmY66FcyVHBBbB4XLSXqNTlHvoxUMqbmyIymsb3T1M/RkUnvB7BG8oYI0jZ/iqyPGx6FlAfrlVDSff1T+3JytNXe7l+N0vaS+r5gp/a1SroM1eWDh79r1bfl0=[/tex][tex=12.5x7.571]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[/tex]
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    举一反三

    内容

    • 0

      求矢量场[tex=9.214x1.286]Aewrt9ar78udzIUHPflntGRt7u2c9FkxTGDbgy7YN9mEqcp3O7n8IOJuCwRyXdrH[/tex]在点[tex=4.429x1.286]+tqhxR2wEA3bmlNNV1+yWBOEjGoIu5gXPx4lMR8di/k=[/tex]处的散度及旋度 .

    • 1

      A、B均是n阶方阵,则下列结论成立的是 未知类型:{'options': ['[tex=7.857x1.214]BZxDHlyekZ7MMqWSXw+2ywLdIYPT6ZU9GQft+/sb0q4OrBUt3T7NyXcA7oHYm79p[/tex]且[tex=2.857x1.214]kWwwMnt1BRX+RQ6+DK+OlQ==[/tex]', '[tex=7.5x1.0]NovbxKl63Ey/milqTcbe/+J36WLNVkMSEku3bEiKGf2cLqBWASaTaii1DwDZMcVA[/tex]', '[tex=10.143x1.357]NovbxKl63Ey/milqTcbe/wSV3pQ6zexm5hOTHL7lj7LMpFXqSydiSqFgztnzOS0uf/4zrWqizwPC3R8Ht2OzS95Os5c7UBFiYgiSdZLdhbA=[/tex]或 [tex=3.643x1.0]NovbxKl63Ey/milqTcbe/0bAjKRt0Wrw3sJgfdK9bXk=[/tex]', '[tex=7.143x1.0]z4AlagdvJQtrG/yyHUG3Ogusm+TvWD1yDRaFEDZ6mKvyCbEpj9IwHu/9gFOa2r5v[/tex]'], 'type': 102}

    • 2

      设[tex=12.5x5.214]No14tepOrgpLFcwU7iwUQez/wjXGt+M4WQUb/+dQXBjj6lSyAuf4gZYVqoO0QJa37XvdOcNTdQsDE3T+3zHKAyF20DxI6YPobcBhswASjMXXqa2sC6MoBqeo90jUgfYAOilSTxxw2v/qReVsAMLrY+1Zj8IHJDB+E/fv5SsVqSU=[/tex] 求 [tex=2.357x1.0]NovbxKl63Ey/milqTcbe/6gEPwoNWDtR2TNscVjbEeY=[/tex] 。[br][/br]

    • 3

      设 [tex=9.786x1.286]DQ1ZsnXfTUHqv3aeNI8TmtYnGbUL/0+sIYsjPWXY8gvgx6R0cuYt0RtG7mXTbZvLu6NAcQR1sSciIWMyvqLruQ==[/tex]. 令 [tex=2.0x1.214]L13v13gszAHTYXVyhXnbMg==[/tex] 分别为[tex=19.429x7.643]apkvZnpOyWUQAwLC3506svu/wi6+Vf6yufHs2t0U/LSrh/UR0yRmjSDCWbIkiRP5KNj0dZklPPpanqGHBxZxFUke2yxSRM0Le7aQ3x9IDgx2oqCjLeQmJ9I9Lm9FZQ1WrcN8ZLFliV7YbEntpFqEeNpUcj5kCwUcku7rrZhd6wBL1Aql4yV6U060EGb17OYbw4qmpXPgwT1S+bq2Xxvj+gLg79Xtu9OzAY2CGBuSFEPGuNht6ymFtD2ttg3bfXZG/8v7eXiI/MgwKhieqFXTVaxYoXk+3j4luucBI8n4MULK8T67TezHoDNdox2qVCzjtZTPjtIgl2EZZEy9x/2N7w==[/tex],[tex=23.786x7.714]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[/tex].1) 计算 [tex=1.571x1.0]KtUvskt9CnZGjwvAZvfMbg==[/tex].2) 求 [tex=2.357x1.0]NovbxKl63Ey/milqTcbe/0+weZrZwV0IV2WDP9e/d4g=[/tex].3) [tex=9.143x1.214]W+JKlZTCQuMKHwApS0vbt6P88J6iGPqmse/zfvqGaOiRTh3wV751xrP0M0uf4DMSNyBUI4gfEk1UxitcE2tRlw==[/tex] 时,[tex=3.143x1.0]NovbxKl63Ey/milqTcbe/8jdjiYrbSNvYzAkW4iNzpM=[/tex]?

    • 4

      证明 :  [tex=12.929x2.0]NovbxKl63Ey/milqTcbe/78Se5HqptgLFY6Dwee2x+Ovn38XdySCIcJIvCPpHamnHmn9UiWI8+B8LUh37Bl6W3rQfenfN/A2sbmhiTdWwwTsGRTkDRwgVBksiVBuE6gl[/tex].