高师“初等几何研究”课程的教学面临诸多问题，其教学内容与编排体系尤需大幅度调整。

In higher normal universities, the teaching of the course "Research on Elementary Geometry" faces many problems. Its teaching contents and arranging system needs to be adjusted to a great extent.

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定理机器证明的研究已有将近50年的历史，并已经在数理逻辑、初等代数和几何学等学科取得显著成功。

There has been a lot of success in the study of automated theorem proving during the past 50 years.

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