There're five members in my family—my parents , my grandparents, and me . My mother is a teacher. She teaches Chinese in our school. She likes music. My father is a teacher, too. He teaches art in the Guang Ming primary school. He likes going hiking. My grandmother is a worker. She likes reading books. My grandfather is a scientist. He likes playing chess. I am Betty. I'm in Shi Yan primary school. I like singing and dancing. Look! I have a happy big family. Isn't it?

物体从某一高处自由落下，落到直立于地面的轻弹簧上，如图所示．在A点物体开始与弹簧接触，到B点物体的速度为0，然后被弹簧弹回．下列说法中正确的是（　　）

将一副三角板中的两块直角三角尺的直角顶点C按如图方式叠放在一起（其中，∠A=60°，∠D=30°；∠E=∠B=45°）：

（1）①若∠DCE=35°，求∠ACB的度数；

②若∠ACB=150°，求∠DCE的度数；

（2）由（1）猜想∠ACB与∠DCE的数量关系，并说明理由．

（3）请你动手操作，现将三角尺ACD固定，三角尺BCE的CE边与CA边重合，绕点C顺时针方向旋转，当0°＜∠ACE＜180°且点E在直线AC的上方时，这两块三角尺是否存在一组边互相平行？若存在，请直接写出∠ACE角度所有可能的值（不必说明理由）；若不存在，请说明理由．