he put forward a good idea who\what(同位语从句) that（定语从句）gave us hope.He put forward a good idea that gave us hope。用that毫无疑问是定语从句，但从语法角度看用 who\what引导同位语从句，

he put forward a good idea who\what(同位语从句) that（定语从句）gave us hope.He put forward a good idea that gave us hope。用that毫无疑问是定语从句，但从语法角度看用 who\what引导同位语从句，
he put forward a good idea who\what(同位语从句) that（定语从句）gave us hope.
He put forward a good idea that gave us hope。用that毫无疑问是定语从句，但从语法角度看用 who\what引导同位语从句，

he put forward a good idea who\what(同位语从句) that（定语从句）gave us hope.He put forward a good idea that gave us hope。用that毫无疑问是定语从句，但从语法角度看用 who\what引导同位语从句，
应该是that
此处that在从句中做主语,表示这个idea 给了我们希望.这是个典型的定语从句.

he put forward a good idea that（定语从句）gave us hope.

what，gave是谓语动词，what作主语

首先，who,what是不能引导同位语从句的，同位语从句一般用that. that引导的同位语从句是对前面内容上的解释说明。
这个句子that引导的是定语从句。如果把句子改一下：he put forward a good idea that we can solve the problem in a simpler way.这里的that引导的是同位语从句，是对idea的内容上的补充说明...

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首先，who,what是不能引导同位语从句的，同位语从句一般用that. that引导的同位语从句是对前面内容上的解释说明。
这个句子that引导的是定语从句。如果把句子改一下：he put forward a good idea that we can solve the problem in a simpler way.这里的that引导的是同位语从句，是对idea的内容上的补充说明

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