短文改错。

例：Jim get up at seven in the morning.     Gets

    Different people like to do different things in their free time. Do you want to know what I do in my free time? I do lot ____ of things in my free time. First I like to listen to music. It make ____ me relaxed. but ____ happy. My favourite singer is Zhang Jie. I can sing most of his song____ . I aso like to watch TV. And I think watch ____ TV can help me learn a lot more outside class. Sometimes I go swimming and ____ my mother. She is good at swimming. I hope I can swim as better____  as you ____ someday. When I'm not busy, I also like to play the violin with my friends.it's quiteinterested____ .As you see, I have great funny ____ in my free time. What about your ？Free time Activities? Can you tell me?

如图，三棱柱ABC﹣A₁B₁C₁中，侧棱垂直底面，∠ACB=90°，AC=BC= $\frac{1}{2}$ AA₁，D是棱AA₁的中点．

（Ⅰ）证明：平面BDC₁⊥平面BDC

（Ⅱ）平面BDC₁分此棱柱为两部分，求这两部分体积的比．

如图所示，电源电压为3V，R₁=10Ω，R₂=10Ω，R₃=20Ω．只闭合S₃，电流表的示数为____ A，电压表的示数为____ V；只闭合S₁、S₂、S₃，电流表示数为____ A；要使电路消托的电功率最小，应只闭合开关____．

计算出结果．

如图（a）所示，ABCD是一个T型支架，已知整个支架的质量为m₁=5kg，重心在BD上、离B点0.2m的O点处，BD=0.6m，D点通过铰链连接在水平地面上，ABC部分成为一斜面，与水平地面间的夹角为37°，且AB=BC，AC⊥BD．现有一质量为m₂=10kg的钢块以v₀=4m/s的初速度滑上ABC斜面，钢块与斜面间的动摩擦因数为μ=0.25．问：T型支架会不会绕D点转动？

某同学的解题思路如下：

可以先算出钢块静止在ABC上恰好使支架转动的位置，如图（b）所示．根据支架受力情况写出此时力矩平衡的式子：M_N=M_f+M_G，可根据该式子求出该位置到C点的距离s₁；

（M_N、M_f、M_G分别是钢块对斜面的压力的力矩、摩擦力的力矩以及T型支架自身重力的力矩，其中N=m₂gcos37°，f=m₂gsin37°．）

然后算出钢块以4m/s的速度在斜面上最多能滑行的距离s₂；

比较这两个距离：若s₁≥s₂，则T型支架不会绕D点转动；若s₁＜s₂，则会转动．

请判断该同学的解题思路是否正确，若正确，请按照该思路，写出详细的解题过程，求出结果；若不正确，请给出你认为的正确解法．