同学你好，该知识点来自沪江网校《英语零基础直达PETS三级/公共英语三级【年中特惠班】》的课程，想要更系统的学习，欢迎进入课程学习。不仅可以和更多的同学一起学习，而且还有老师、助教随时的学习指导和知识点解答哦。

同学你好~
representing是现在分词作后置定语，修饰前面的dream tree
the path she hoped her life would take.是定语从句修饰the path
take the path表示走着条路
也就是她原本希望她可以走的这条路
Which is exactly what her mother had hoped for when the Chons moved to the U.S. from South Korea to give their three children opportunities.which引导定语从句，从句中what引导表语从句，what her mother had hoped for表示她妈妈原本希望的
to give  their three children opportunities.是不定式表示目的，表示他们从韩国搬来美国就是为了给他们的三个孩子机会（可以上哈佛）
希望对同学有帮助~