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语法达人进关于in/by/for...+which的用法

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语法达人进关于in/by/for...+which的用法
This question is an example of a Diophantine equation(不定方程)--that is ,it is an equation with integer coefficients for which are seeking integer solutions.
A proportion is an equation in which two ratios are set equal to each other.You may be asked to answer questions that require you to set up a proportion and solve it.
The mathematics section will include geometric sequences,which are sequences for which there is a constant ratio between consecutive terms.
各位语法达人们,我实在不懂in/for/by...+which 这些介词结构定语从句,为什么不用which而用这些呢,有人都是where的意思,但我实在是不敢苟同,请详细说明which在上面句子中的用法,并举例说明,(比如如果这些句子换乘一般结构会怎么样),从而让我灵活运用.第三个句子也请说明那个逗号的作用,定语从句都什么时候用逗号.
语法达人进关于in/by/for...+which的用法
答:不知道你是什么专业的大学生,数学专业吗?如果光想知道 介词+which 引导定语从句 和which ,where引导定语从句的话,不用那么难的例句来说明,会更容易些.
1.介词+which显然与which引导定语从句是不一样的.如:
The book in which there are many pictures is mine.这句话中,in which不能改为which.我们将定语从句还原:There are many pictures in the book.(in which= in the book)
2.where 经常可以用一个介词+which来代替,但是,不是所有的介词+which都可能用where来替替换的.如:The book on which there is a cup is mine.这句中on which就不能用where来代替.
定语从句还原:There is a cup on the book.( on which=on the book)
在考虑用什么介词时,将定语从句还原会容易些.
3.非限制性定语从句常用逗号隔开.which常可用来指代整个句:
He got the first prize,which made us very happy.