已知曲线$y=2\sin \left(x+\frac{\mathrm{\pi }}{4}\right)\cos \left(\frac{\mathrm{\pi }}{4}-x\right)$与直线$y=\frac{1}{2}$相交，若在$y$轴右侧的交点自左向右依次记为$P_1,P_2,P_3,\cdots ,$则$\left|P_1{P}_2\right|=\left(\right)$

如图，已知抛物线y=ax²+c过点（﹣2，2），（4，5），过定点F（0，2）的直线l：y=kx+2与抛物线交于A、B两点，点B在点A的右侧，过点B作x轴的垂线，垂足为C．

Sally: Good afternoon, Jenny.

Jenny: Good afternoon, Sally.

Sally: Oh, Jenny, this is my aunt Alice. Alice, this is my friend Jenny.

Jenny: Nice to meet you, Alice.

Alice: Nice to meet you, too, Jenny. Your school is very good. I like (喜欢) it.

Jenny: I like it, too.

Sally: Jenny is a good English teacher. Her students (学生) like her.

Jenny: Thank you, Sally.

Alice: Well, have a good day!

Sally & Jenny: Thanks. You, too. Bye.

根据材料内容判断正误。

— ________ of them. Every one.