Correct

支持 vs 支援

/ zhīchí vs zhīyuán /
Strokes

Formula

1
在 + sb. + 支持 + 下
2
在 + sb. + 支援 + 下

Definition

支持 and 支援 both are Verbs, which means [support; assist].

Example

支持 means "to support, barely sustain"; while 支援 cannot replace 支持.
1
Zhège
这个
tou
木头
jiàzi
架子
zhīchí
支持
zhù
zhème
这么
chóng
de
xiāngzi
箱子
  

The wood frame cannot support such heavy box.

2
rén
个人
zhīchí
支持
zhège
这个
jiā
hěn
róng
容易
  

It is not easy for him to support his family.

3
Zhī
kào
yíngyǎng
营养
zhēn
  
,
bìngrén
病人
shì
zhīchí
支持
le
duōjiǔ
多久
de
  

The patient cannot last long if relying on the nutrition shot.

4
Zài
zhīchí
支持
liǎng
一两
tiān
hěnkuài
很快
jiù
yǒurén
有人
lái
jiē
接替
men
你们
le
  

There's somebody who will come here to take the place of you if you can be here one or two days.

5
Liǎng
tiān
liǎng
méi
xiūxi
休息
  
,
yào
zhīchí
支持
zhù
le
  

I am afraid I canno continue for I have no rest for two days and two nights straight.

支持 indicating "to support morally"; while 支援 cannot replace 支持.
支持 may include material help sometimes (as in example ⑨ below), but generally does not take a concrete material word as the object. For instance one does not say 他支持了500元; 为了帮他建房,我支持他些砖瓦, etc
6
de
xiǎng
想法
hěn
cuò
不错
  
,
dǎn
大胆
gàn
  
,
men
我们
zhīchí
支持
  

Go ahead and I will support you for your idea is nice.

7
Zài
gōngzuò
工作
shàng
liǎng
rén
xiāng
互相
zhīchí
支持
  
,
xiāng
互相
bāngzhù
帮助
  

They two support and help each other with their work.

8
Zhège
这个
jiàn
建议
fēicháng
非常
hǎo
  
,
jiānjué
坚决
zhīchí
支持
  

I'm determined to support the suggestion for it is very nice.

9
shàng
xué
大学
de
shíhou
时候
  
,
大哥
chángcháng
常常
xiěxìn
写信
bìng
qián
lái
  
,
gěi
hěn
de
zhīchí
支持
  

When I was at college, I often received letters and money from my eldest brother, which encouraged me greatly.

10
Zài
huìshàng
会上
tóu
zhāng
zànchéngpiào
赞成票
  
,
jiùshì
就是
duì
men
我们
gōngchéng
工程
huà
计划
de
大力
zhīchí
支持
  

If you vote us at the meeting, that means you are in approval of our proiect plan.

支援 indicates "help with manpower, material or financial resources, etc., and is usually not applied to individual assistance; while 支持 cannot be used instead.
11
Zhège
这个
chéngshì
城市
pàichū
派出
大批
jiàoshī
教师
  
gàn
干部
zhīyuán
支援
jīng
经济
luòhòu
落后
地区
  

The city sent a lot of teachers and cadres to aid the backward regions.

12
Shì
市里
kuǎn
拨款
bǎiwàn
五百万
yuán
zhīyuán
支援
shān
山区
jiào
教育
shì
事业
  

The city earmarked funds of 5,000,000 Yuan to the education in the mountainous arear.

13
men
你们
guǒ
如果
gài
xīn
chǎngfáng
厂房
  
,
men
我们
可以
zhīyuán
支援
xiē
一些
shuǐ
水泥
  

We can supply you some cements if you build new factory buildings.

14
Liǎng
ōu
地区
zài
jīng
经济
shàng
可以
xiāng
互相
zhījiē
支接
  

The two regions support each other's economy.

With an attributive of the noun, pronoun, etc. 支持 and 支援 can be inserted in the pattern 在.……下 to form a prepositional structure that functions mostly as an adverbial.
在 + sb. + 支持 + 下 在 + sb. + 支援 + 下
15
Zài
lǐngdǎo
领导
tóngshì
同事
men
de
zhīchí
支持
xià
  
,
de
yánjiū
研究
取得
le
jiēduàn
阶段
xìng
de
chéngguǒ
成果
  

His research has made successive progress with the support of his leaders and colleagues.

16
Zài
men
他们
de
zhīchí
支持
xià
  
,
men
我们
克服
le
shǎo
不少
kùnnan
困难
  

We overcome a lot of difficulties with their support.

17
Zài
dāng
当地
qúnzhòng
群众
de
zhīyuán
支援
xià
  
,
zhè
zuò
sēnlín
森林
gōngyuán
公园
zhōng
终于
jiànchéng
建成
le
  

The forest park has been completed with the help of the locals.