假定英语课上老师要求同桌之间交换修改作文，请你修改你同桌写的以下作文。文中共有10处语言错误，每句中最多有两处。错误涉及一个单词的增加、删除或修改
增加：在缺词处加一个漏字符号（∧），并在下面加上该加的词。
删除：把多余的词用斜线（\）划掉。
修改：在错的词下划一横线，并在该词下面写上修改后的词。
注意：1）每处错误及其修改均仅限一词；
2）只允许修改10处，多者（从第11处起）不计分。
When I first came to England, I know little English. As you can probably guess it, my life was difficulty for a time. Simple tasks like ordering food or take a taxi were quite stressful. I signed up for classes and studied on my own as well, so I made poor progress. I became very discouraging. Finally, I found best way to learn English was to make friends with native speakers and spend time with them. I appreciated playing in a band with an English woman which became one of my best friend in London. My English improved great by hanging out with her.
的焦点
为双曲线
的一个焦点，经过两曲线交点的直线恰好过点