如图，在△ABC中，∠C=90°，∠B=32°，以A为圆心，任意长为半径画弧分别交AB，AC于点M和N，再分别以M，N为圆心，大于$\frac{1}{2}$MN的长为半径画弧，两弧交于点P，连接AP并延长交BC于点D，则下列说法：

①AD是∠BAC的平分线；

②CD是△ADC的高；

③点D在AB的垂直平分线上；

④∠ADC=61°．

其中正确的有（　　）

阅读下面对话，在空白处填入恰当的内容。

A: So, what's your plan for this weekend?

B: I just want to stay at home.

A: How about going to____ ?

B: Sorry, I've been tired these days. I just want to have a good rest.

A: But I think going to movies is a better way to____  yourself.

B: You are probably right.

A: Maybe we should go out to ____  first.

B: Yeah, I think so.

A: I know pizza's been your favourite. Let's meet at Sam's Pizza House. I heard they just came

out with a new pizza.

B: Really? I haven't been there for a long time. When shall we meet?

A: Well, the movie is at 2:00 pm and 1:00 pm.

B: ____ go to the 2:00 pm show?

A: No problem. We can meet at Sam’s Pizza House at 11:00 am.

B: Perfect. If so, we can have plenty of time to____ .