• 2022-05-28
    试验证[tex=6.286x1.214]/Ki9SbTBjW61e8yjqjCkSA==[/tex]与[tex=7.571x2.429]BVIrfd7LfwW+35Scv0cSsDuq3sUikIYpPsWG3FjNmq1VgUuIZzRVvzrV/lCGcSJl[/tex]是同一个函数的原函数.
  • 证明:因为[tex=18.286x2.429]ikiLaxzU2qlHM/RbSY06mOnngnMmnluqeZ1524SVem6YgNZ9jwsQeQgCRan4pNK8qby6xMJk2m4Y/DkbLY84Gw99smTEEb1TI206H1Q3u4U=[/tex][tex=3.429x2.429]LKjsNyAanc0LWjRvekc/QfD6j2F14SSpN43L5qZ9YE0=[/tex],[tex=13.5x4.429]8D8QixMhv0+5lcibJ52zmnGeEjfRNvYTJACq2vXlsTEP8eVOwgbc85ePeMC7gTsoIPxWkFRKRz31sGPWDNp+LMy/d7/PM2r0EdsP8GcfbDf1GEpXj1DC7wXtEbaLHSmTPMATbOWOasWuTlx652o5swzG4sk2+mRK/NZGhl3EXuOY6hhEHrSOrAbr6vsM5s5j[/tex][tex=7.786x4.571]HTfVmNGkr8AxWpzRyqs2tX4pZvBZIozpsqedbIXmqydZiWN3eHFxQokNcw4jp+CdLVQLABKeIcuzFQLMWnWrGtEos4zlK+dn2WeLk+SquhxjgVUf0Nx7ux6RJeH/au9O0BIEHBtxHNkS4zdNFPNxoQ==[/tex][tex=11.786x4.0]Ucpu3GeVMH55rHATllFf1x6iFUHyTf1AVrYTDgsyDlw0/pXGqw0UR3dUfAOV++vGvFYVNAIlvrClz/ITIm3TsmjuLSJVE+XXVATHyBqEzSUXzXOlnp9+n4X27C+VDjq4ebFNQo5OfF/RBmHyTDtLcWKstSpEiEqwk9emjfDXycU=[/tex]即[tex=14.714x2.857]ikiLaxzU2qlHM/RbSY06mIRVK55iJFD/ekbV7o85Trs+yGZ2Lup8mCWAccyI6bpzZOPs9hY1EieypfpS9uorUPcc+Pzsq2VzockSWQCGhR4=[/tex].这说明[tex=6.286x1.214]/Ki9SbTBjW61e8yjqjCkSA==[/tex]与[tex=7.571x2.429]BVIrfd7LfwW+35Scv0cSsDuq3sUikIYpPsWG3FjNmq1VgUuIZzRVvzrV/lCGcSJl[/tex]是同一个函数的原函数.

    举一反三

    内容

    • 0

      作出函数 [tex=6.286x1.214]ciJkY0KcHLfcEfgzo42Iuw==[/tex] 的图像.

    • 1

      设函数f(x)在[tex=3.286x1.357]64m0xE4nFlaKGIakApV0PA==[/tex]上连续,且有f(0)=0及f'(x)单调增,证明:在[tex=3.5x1.357]vgrW1/jK/GZ1TOWaPFIQWA==[/tex]上函数[tex=5.071x2.429]KmCvFjqAEA9O51+9erVGP+KtDDqVtXZQWqxj1eiTO5k=[/tex]是单调增的。

    • 2

      设函数 [tex=10.214x1.571]hvVkciZLNsxB/xBUGjVrobqdi+LN0Sd56LhlePipIkUh6mFwVx2sr/5f31l0QtQg[/tex]则方程 [tex=4.071x1.429]F27M+tMBWun73FG3D7wgFazbgMsKIVpVxdxZBzoc1Ic=[/tex] 在 [tex=2.357x1.357]3g1gASVEgvrGYvpOmDP6DA==[/tex] 内根的个数为(     ).(A) 0 个         (B) 至多 1 个        (C) 2个     (D)至少 3 个

    • 3

      某人对商品x的需求函数是[tex=5.214x1.214]0m6eBd5eyK0NjuxeKfwtIw==[/tex],[tex=4.214x1.214]I717YsPbj8Rnym1v2XQ+sFNkUl7mqUsGwbjwjXmy2xc=[/tex],这里[tex=0.571x1.0]Za328cIB4SeR7rrzY+MM5Q==[/tex]是[tex=0.571x0.786]ZSLOI4fiO1oAbVC5M8IVkA==[/tex]的价格。如果商品x 的价格是0.5元,那么他对商品x的需求价格弹性是 未知类型:{'options': ['-10', '- 1/5', '-1/10', '\xa0- 1/3'], 'type': 102}

    • 4

      设h为X上函数,证明下列两个条件等价,(1)h为一单射(2)对任意X上的函数[tex=5.429x1.214]3BrfPgAFe5dbHQTMAYnbS+118W4YAj6CiW06EKMaxNI=[/tex]蕴涵[tex=1.786x1.214]pxzkG5OdsKT9CiCwC5OvPQ==[/tex]