已知函数<img src='https://img2.soutiyun.com/latex/latex.action' />则下列结论中( )正确．

已知函数<img src='https://img2.soutiyun.com/ask/uploadfile/6546001-6549000/ac4ad9229c5e5f2906a5891b700c37ef.png' />，则函数定义域是（）

已知下列反应的平衡常数：<img src='https://img2.soutiyun.com/ask/2019-12-18/945528385312623.png' />则同温下反<img src='https://img2.soutiyun.com/ask/2019-12-18/945528393394473.png' />的平衡常数为( )。

设函数<img src='https://img2.soutiyun.com/latex/latex.action' />，则y有( )．

逻辑函数<img src='https://img2.soutiyun.com/latex/latex.action' />，它的非函数是：______。

求下列逻辑函数的反函数：<img src='https://img2.soutiyun.com/ask/2020-02-20/951087694661952.png' />

已知两个线性变换<img src='https://img2.soutiyun.com/ask/2020-07-24/964447450539867.png' />，求从<img src='https://img2.soutiyun.com/ask/2020-07-24/964447482729708.png' />到<img src='https://img2.soutiyun.com/ask/2020-07-24/964447490132131.png' />的线性变换。

若函数<img src='https://img2.soutiyun.com/ask/2020-08-13/966178131180276.png' />,则<img src='https://img2.soutiyun.com/ask/2020-08-13/966178120045639.png' />。().此题为判断题(对，错)。

设随机变量(X，Y)的密度函数为<img src='https://img2.soutiyun.com/latex/latex.action' />

由<img src='https://img2.soutiyun.com/latex/latex.action' />，确定可微函数z=z(x，y)(f也可微)，则<img src='https://img2.soutiyun.com/latex/latex.action' />=( )

试证明下列函数满足拉普拉斯方程：<img src='https://img2.soutiyun.com/ask/2019-06-18/929711665151155.png' />

函数<img src='https://img2.soutiyun.com/ask/2020-02-15/950624584044227.png' />在x=0处( )．

二元函数<img src='https://img2.soutiyun.com/latex/latex.action' />的定义域是( )．

已知z=lnu，<img src='https://img2.soutiyun.com/latex/latex.action' />，则<img src='https://img2.soutiyun.com/latex/latex.action' />( )

设函数g(x)=1+x，且当x≠0时，<img src='https://img2.soutiyun.com/ask/2020-02-18/950885721858992.png' />，则<img src='https://img2.soutiyun.com/ask/2020-02-18/950885746436467.png' />等于( )

利用Γ函数和B函数的关系，证明<img src='https://img2.soutiyun.com/ask/2021-01-19/979914972490034.png' />

用公式化简下列逻辑函数：<img src='https://img2.soutiyun.com/ask/2020-02-20/951082911647957.png' />

设函数<img src='https://img2.soutiyun.com/ask/2019-12-21/945780553197574.png' />，则( )成立。

设f(x)为连续函数,且满足等式<img src='https://img2.soutiyun.com/shangxueba/ask/51381001-51384000/51383367/97672305236883.png' />则<img src='https://img2.soutiyun.com/shangxueba/ask/51381001-51384000/51383367/976723063701479.png' />=().

<img src='https://img2.soutiyun.com/ask/2020-12-12/976627456263973.png' />是同一个函数吗？为什么？

分别用74LS153实现逻辑函数<img src='https://img2.soutiyun.com/ask/2020-08-20/966791648450497.png' />

已知f（x）的原函数为<img src='https://img2.soutiyun.com/shangxueba/ask/18741001-18744000/18743910/2016071616173232033.jpg' />＝（）<img src='https://img2.soutiyun.com/shangxueba/ask/18741001-18744000/18743910/2016071616172745358.jpg' />

将函数f(x)＝x²在<img src='https://img2.soutiyun.com/shangxueba/ask/18735001-18738000/18737342/2016071617062459326.jpg' />上展开成余弦级数，其形式为<img src='https://img2.soutiyun.com/shangxueba/ask/18735001-18738000/18737342/2016071617063532608.jpg' /><img src='https://img2.soutiyun.com/shangxueba/ask/18735001-18738000/18737342/2016071617065141640.jpg' />（）<img src='https://img2.soutiyun.com/shangxueba/ask/18735001-18738000/18737342/2016071617071375522.jpg' />

证明：若f为函数，则<img src='https://img2.soutiyun.com/ask/2020-08-12/966099742187747.png' />

系统的传递函数为<img src='https://img2.soutiyun.com/shangxueba/ask/17991001-17994000/17992371/2018032817055661358.jpg' />，则其幅频特性为（）。<img src='https://img2.soutiyun.com/shangxueba/ask/17991001-17994000/17992371/2018032817060729748.jpg' />