四月是国际读书月，为迎接读书月的到来，校团委组织学生参加电视台《第一时间》“映山红行动”的捐书活动。

如图，二次函数y=x²+bx+c的图象交x轴于A（﹣1，0）、B（3，0）两点，交y轴于点C，连接BC，动点P以每秒1个单位长度的速度从A向B运动，动点Q以每秒$\sqrt{2}$个单位长度的速度从B向C运动，P、Q同时出发，连接PQ，当点Q到达C点时，P、Q同时停止运动，设运动时间为t秒．

（1）求二次函数的解析式；

（2）如图1，当△BPQ为直角三角形时，求t的值；

（3）如图2，当t＜2时，延长QP交y轴于点M，在抛物线上存在一点N，使得PQ的中点恰为MN的中点，请直接写出N点的坐标．

根据对话情景及首字母提示, 填入所缺的词完成对话, 每空一词。

A: Ben, I have some questions about your country, Canada.

B: Okay. What do you want to know?

A: What are you s____ to do when you meet someone for the first time?

B: You're supposed to s____ hands.

A: How about time? For example, when a party is at eight o'clock, do you go at eight o'clock?

B: No, you can go about fifteen minutes late.

A: OK. Is it the same for business meetings?

B: Oh, no. For a business meeting, make sure you're o____ time.

A: Mmm…… , I heard that it's rude to make n____ when you eat. Is that true?

B: Yes, it is. You shouldn’t do it.

A: One more question, are you supposed to take a gift when you visit someone?

B: Yes, it's p____ to take some flowers.

A: Thanks. Now I’m ready.