Correct

打冷战

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Strokes
https://i.cchatty2.com/filters:format(webp)/fit-in/684x0/img/202102/打冷战-Chinese-idioms-Cchatty-89b98dcb-0e16-454a-a261-6047ef6ffaac-1612777127.jpg

Collocation

1
打冷战的事
2
跟/和/同……打冷战
3
一直在/不断地打冷战

Definition

打冷战

Literally means:

fight a cold war

Actually means:

show a cold attitude towards each other

Originally it means countries would take various non-military but hostile actions against each other.

It figuratively means different individuals or groups are in contradictive positions, and that when they are in conflicts, they would repel each other and show a cold attitude towards each other.

原指国家之间在军事行动以外的各种敌对行为。

比喻人和人、集团与集团之间处于不和或矛盾的状态,或双方有了矛盾之后采取排斥、冷淡等非激烈的态度对待对方。

Example

Used as predicate or attributive, and can be use with other words in between. (作谓语、定语,中间可以插入别的词语)
1
Zuìjìn
最近
men
他们
夫妻
zhí
一直
zài
lěngzhan
冷战
  
,
妻子
měiwǎn
每晚
dōu
jiāng
自己
guān
zài
èr
lóu
de
fángjiān
房间
  
,
不许
zhàngfu
丈夫
jìnlái
进来
  

Recently, the couple had been fighting the Cold War, and his wife kept herself in a second-floor room every night, not allowing her husband to come in.

2
men
他们
shì
hǎo
péngyou
朋友
  
,
què
yīnwèi
因为
xiǎo
huì
误会
ér
le
lěngzhàn
冷战
  
,
互不
cǎi
理睬
jīng
已经
yǒu
liǎng
xīng
星期
le
  

They were good friends, but they started the Cold War because of a little misunderstanding, and they have been ignoring each other for two weeks.

3
Duì
对于
men
她们
母女
zhījiān
之间
nàobièniu
闹别扭
lěngzhan
冷战
de
shì
  
,
yào
不要
cānjiā
参加
jìn
进去
  
,
miǎn
以免
kuò
扩大
máodùn
矛盾
  

Don't get involved in the cold war between their mother and daughter so as not to widen the conflict.