duànwǎng yǐhòu xiān chóngqǐ lùyóuqì.

Here 断网 works like a verb phrase meaning the internet goes down, the connection is cut off, or to lose internet access.

A few useful points:

• 断 = to break, cut off, disconnect
• 网 = network / internet

So 断网 literally suggests the network is cut off.

In real usage, it can mean:

• the internet stops working
• the connection drops
• to disconnect from the internet

In this sentence, it most naturally means:

• After the internet goes down...
• If the internet disconnects...

Because there is no explicit subject, it sounds like a practical instruction.

以后 means after or later.

So:

• 断网以后 = after the internet goes down

In Chinese, a common pattern is:

• event + 以后 + main action

Examples:

• 下课以后再说。 = We'll talk after class.
• 吃饭以后去散步。 = Go for a walk after eating.

So in your sentence:

• 断网以后 sets the time/background
• then the main instruction comes after it

This is very natural Chinese word order.

Yes, usually you can.

• 断网以后
• 断网之后

Both mean after the internet goes down.

The difference is small:

• 以后 is very common and neutral
• 之后 can sound a little more formal or written, depending on context

In everyday instructions, 以后 is perfectly natural.

先 means first.

In Chinese, words like 先 usually go before the verb/action they modify.

So:

• 先重启路由器 = first restart the router

This fits the normal Chinese pattern:

• 先 + verb

Examples:

• 先吃饭。 = Eat first.
• 先看看。 = Take a look first.
• 先关机，再开机。 = First shut it down, then turn it on again.

So the sentence is structured like this:

• 断网以后 = after the internet goes down
• 先重启路由器 = first restart the router

Chinese often omits the subject when it is obvious from context, especially in:

• instructions
• commands
• notices
• step-by-step troubleshooting

So this sentence really means something like:

• (你) 断网以后，先重启路由器。
• When the internet goes down, first restart the router.

But saying 你 is usually unnecessary.

This makes the sentence sound more natural and concise.

Yes, it functions like an instruction or imperative.

Chinese often gives commands without a special command form. It just uses the verb directly:

• 重启路由器。 = Restart the router.

Adding 先 makes it sound like a step in a process:

• 先重启路由器。 = First restart the router.

If you wanted to make it softer or more polite, you could say:

• 断网以后，先重启一下路由器。
• 断网以后，请先重启路由器。

So the original sentence is natural, direct, and common in technical advice.

They are very close in meaning.

• 重启 = restart / reboot
• 重新启动 = start again / restart

In tech contexts, 重启 is very common and concise. It is the usual word for rebooting a device.

Examples:

• 重启电脑 = restart the computer
• 重启手机 = restart the phone
• 重启路由器 = restart the router

重新启动 is a bit longer and more literal:

• 重新 = again
• 启动 = start up

In many situations, both are acceptable, but 重启 sounds more standard for devices.

Because 重 is a character with more than one pronunciation.

Common readings include:

• zhòng = heavy, important
• chóng = again, repeated

In 重启, it means again, so it is pronounced chóng:

• 重启 = chóngqǐ

You can think of it as similar to:

• 重复 (chóngfù) = repeat
• 重新 (chóngxīn) = again / מחדש / anew

So here the meaning determines the pronunciation.

路由器 means router.

It is the standard Chinese word for the networking device.

Breakdown:

• 路由 = routing
• 器 = device / instrument

So 路由器 literally means routing device.

This is the normal word used in everyday Chinese for a Wi-Fi router or internet router.

Because this sentence is giving a general instruction, not describing one specific completed event.

Compare:

1. 断网以后，先重启路由器。
   = After the internet goes down, first restart the router.
   This sounds like a general troubleshooting rule.

2. 断网了以后，先重启路由器。
   = After the internet has gone down, first restart the router.
   This can also work, but it sounds a bit more tied to a specific situation.

So omitting 了 keeps the sentence broad and instructional.

Grammatically, yes, 断网 can sometimes suggest disconnecting from the network. But in this context, the most natural interpretation is:

• when the internet goes down
• when you lose connection

That is because 重启路由器 strongly points to a troubleshooting situation.

So although the literal meaning could be broader, the real-world meaning here is almost certainly:

• If the internet cuts out, first restart the router.

Yes. The sentence follows a very common Chinese order:

• time/condition + 以后 + adverb + verb + object

So here:

• 断网以后 = time/condition
• 先 = adverb
• 重启 = verb
• 路由器 = object

Full structure:

• 断网以后，先重启路由器。

This order sounds natural and clear in Chinese.

If you translated too directly from English, you might want to put first somewhere else, but in Chinese 先 normally goes right before the action it modifies.

Yes, absolutely.

• 网络断了以后，先重启路由器。

This is more explicit because it clearly says:

• 网络断了 = the network/internet has gone down

Compared with 断网以后, this version is slightly fuller and may feel easier for learners to understand.

Both are natural, but:

• 断网以后 = shorter, compact, common in practical instructions
• 网络断了以后 = more explicit and sentence-like

So the original version is natural Chinese, especially in tech support or instruction contexts.