已知关于x的一元二次方程x²+(m+3)x+m+1=0．
⑴求证：无论m取何值，原方程总有两个不相等的实数根；
⑵若x₁，x₂是原方程的两根，且$\left|x_1-x_2\right|=2\sqrt{2}$，求m的值，并求出此时方程的两根．

下列句中加下划线成语运用不正确的一项是(　　)

根据所给情景完成下列对话，每空一词。

A: Hi! Jack. Do you want to (1) ____ English with me?

B: Yes, I (2) ____ .

A: What (3) ____do you often go to school?

B: I often go to school (4) ____  seven o'clock.

A: Oh, it's quite early. I get (5)____at seven. I often go to school at 7:30.

B: My home (6) ____  near the school. Do you have lunch (7) ____ home?

A: No, I (8) ____ . I have lunch at school. After lunch I play basketball (9) ____my friends.

B: Great! I like playing basketball, (10) ____ . But I play it at 4:30 in the afternoon.

①在方格纸中,将△ABC向下平移5个单位长度得到△A₁B₁C₁,请画出△A₁B₁C₁;

②在方格纸中,将△ABC绕点O旋转180°得到△A₂B₂C₂,请画出△A₂B₂C₂.