更新：

Question

您显示的代码存在几个问题。

在bib文件中，我删除了一些空行，我更正了缺失的部分 $\pi$ 以\pi在数学模式下打印，我将所有作者更改为，并将您的条目中familyname, firstname的更正为。urldateorDecurldate = {2018-12-02}

我删除了你的行（如果你也有，\bibliography{monref}则不需要）并且我用类和缺失完成了你的代码以打印所有 bib 条目...biblatex\addbibresource{monref.bib}beamer\nocite{*}

因此以下 MWE

\RequirePackage{filecontents}
\begin{filecontents*}{\jobname.bib}
@Book{Carrega1989,
    title     = {Théorie des corps: La règle et le compas},
    publisher = {Hermann},
    year      = {1989},
    author    = {Carrega, J. C.},
}
@Book{marcay,
    title     = {Constructions à la règle et au compas},
    publisher = {Département de Mathématiques d’Orsay, Université Paris-Sud, France},
    author    = {Fran\c{c}ois, DE MAR\c{C}AY},
}
@Book{Krop,
    title     = {La quadrature du cercle et le nombre $\pi$},
    publisher = {Éditions Ellipses, Paris},
    year      = {2005},
    author    = {Krop, André}
}
@online{or,
    author  = {Picart, Philippe},
    title   =  {Le nombre d'or},
    url     = {http://trucsmaths.free.fr/nombre_d_or.htm},
    urldate = {2018-12-02},
}
@Book{Mutaf,
    title     = {\'{E}quations algébriques et théorie de Galois},
    publisher = {Vuibert},
    year      = {1980},
    author    = {Claude Mutafian},
}
@online{Dec,
    author  = {Debart, Patrice},
    title   =  {Descartes et les Mathématiques},
    url     = {http://debart.pagesperso-orange.fr/},
    urldate = {2018-12-02},
}
\end{filecontents*}


\documentclass{beamer}

\usepackage[backend=bibtex,style=verbose,sorting=none]{biblatex}
\setbeamercovered{transparent}
\addbibresource{\jobname.bib}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
\setbeamertemplate{bibliography item}{%
    \ifboolexpr{ test {\ifentrytype{book}} or test {\ifentrytype{mvbook}}
        or test {\ifentrytype{collection}} or test {\ifentrytype{mvcollection}}
        or test {\ifentrytype{reference}} or test {\ifentrytype{mvreference}} }
    {\setbeamertemplate{bibliography item}[book]}
    {\ifentrytype{online}
        {\setbeamertemplate{bibliography item}[online]}
        {\setbeamertemplate{bibliography item}[article]}}%
    \usebeamertemplate{bibliography item}}
\defbibenvironment{bibliography}
{\list{}
    {\settowidth{\labelwidth}{\usebeamertemplate{bibliography item}}%
        \setlength{\leftmargin}{\labelwidth}%
        \setlength{\labelsep}{\biblabelsep}%
        \addtolength{\leftmargin}{\labelsep}%
        \setlength{\itemsep}{\bibitemsep}%
        \setlength{\parsep}{\bibparsep}}}
{\endlist}
{\item}

\usetheme{Berkeley}


\title{The Title}
\author{The Author}
\institute{The Institute}

\begin{document}

\begin{frame}
  \maketitle
\end{frame}

\nocite{*}
\begin{frame}[noframenumbering,plain,allowframebreaks]{Références}
  \printbibliography
\end{frame}

\end{document}

给出最终的参考书目：

更新：

因为我不清楚您使用的名称的正确顺序是什么，Fran\c{c}ois, DE MAR\c{C}AY请测试以下包含三种可能性的 bib 文件：

\RequirePackage{filecontents}
\begin{filecontents*}{\jobname.bib}
@Book{marcay,
    title     = {Constructions à la règle et au compas},
    publisher = {Département de Mathématiques d’Orsay, Université Paris-Sud, France},
    author    = {Fran\c{c}ois, DE MAR\c{C}AY},
}
@Book{marcaya,
    title     = {Constructions à la règle et au compas},
    publisher = {Département de Mathématiques d’Orsay, Université Paris-Sud, France},
    author    = {MAR\c{C}AY, Fran\c{c}ois DE },
}
@Book{marcayb,
    title     = {Constructions à la règle et au compas},
    publisher = {Département de Mathématiques d’Orsay, Université Paris-Sud, France},
    author    = {DE MAR\c{C}AY, Fran\c{c}ois },
}
\end{filecontents*}

然后您可以决定使用正确的一个：

Answer 1