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中文摘要：
从本文开始我们对（Ⅲ）m=0类二次系统的极限环问题作了一系统研究，按照其系数的各种不同情况分类讨论．本文考察l〈1/2，0〈n〈1和l〈0，n〉1的情况，给出了极限环惟一性的一些结论，并指出有时在一个焦点外围可以存在两个极限环，同时分析了系统的拓扑结构的变化。
英文摘要：
Starting from this paper, we will give a systematic study for the limit cycle problem of the quadratic system of type （Ⅲ）m=0. There are many different cases for 1 the coefficients of the system, in which two typical cases with l 〈1/2,0 〈 n 〈 1 and l〈 0, n 〉 1 are considered here. Some results on the uniqueness of limit cycles are obtained. We also point out that there are two limit cycles around a focus under certain conditions connected with some global analysis for the system.
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