已知$A=\left\{x\right|x^2-2x>0\},B=\{x|\frac{x-3}{x-1}<0\}$，则$A\cup B$=（    ）

根据短文内容，选择正确答案。  

    Here is a photo. The two girls have big blue eyes and long brown hair. They are both ten years old. They are in the same class. The one in a yellow skirt is Lily. The other one (另一个) an orange skirt is Lucy. Their father (父亲) is Mr. White. He is in a brown coat. Their mom is Mrs. White. She is in a black dress. Who is that boy in a blue cap? He is Lucy and Lily's brother(哥哥), Bob. He is a high school student. Look! Lucy and Lily are in a green car.

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