The shop became even strange.

参考译文：这家商店变得甚至有些奇怪。

even可以随便放吗？even,放在became前面或strange后面。可以吗？

even是修饰复合谓语吗？

even不是随便放的，应该根据所强调的内容/位置进行放置，强调主语，就放在主语前，强调表语就放在表语前。

解答如下：

(1)even作“确实是”“甚至是”解时主要用在表示意外的词语前加强语气,可用来修饰动词或名词。

He didn't even have the decency to show me the way.
他甚至连指点我路的礼貌也没有。

Even the best of men ignored that simple rule.
甚至最优秀的人也忽略了那条简单的规则。

(2)even也可放在形容词或副词的比较级前加强语气,意思是“更加”“愈加”“还”。

You seem even more beautiful than usual today.
你今天好像比平时更漂亮。

I dare say this will exercise an even wider influence than we expected.
我看这件事所产生的影响要比我们以前所想的还要广泛。

The wind blew even harder yesterday than it did on Sunday.
昨天的风比星期天刮得更厉害。

We hope we can cooperate even more closely in the future.
希望我们今后能更加密切地合作。

(3)even的位置应靠近它所强调的词或短语。一般须置于系动词be或助动词、情态动词之后,实义动词之前。在句中位置的不同影响整个句子的意思。

Even a child can answer it.
甚至连小孩都能回答这个问题。

We haven't had any rain yet this year not even a light drizzle.
我们这儿今年一场雨都没下,甚至连一点毛毛雨都没下。

He didn't answer even my letter.
他连我的信都没有回。

He is ready, even eager, to help you.
他乐于,甚至于热切地乐于帮助你。

He looked depressed, even suicidal.
他看上去很沮丧,甚至于沮丧到想自杀。

I can't even remember the name of that old friend of mine.
我甚至连那位老朋友的名字都一点不记得了。