题目

（2019·山东中考模拟）如图，双曲线y=（x＞0）经过△OAB的顶点A和OB的中点C，AB∥x轴，点A的坐标为（2，3），BE⊥x轴，垂足为E． （1）确定k的值； （2）若点D（3，m）在双曲线上，求直线AD的解析式； （3）计算△OAB的面积． 答案：(1)k=6 (2) y=﹣x+5  (3) 9 【解析】 （1）将点A（2，3）代入解析式y=， 得：k=6； （2）将D（3，m）代入反比例解析式y=， 得：m==2， ∴点D坐标为（3，2）， 设直线AD解析式为y=kx+b， 将A（2，3）与D（3，2）代入 得：， 解得： 则直线AD解析式为y=-x+5； （3）过点C作CN⊥y轴，垂足为N，延长BA，交y轴于点M， ∵AB在空白处填入一个适当的词或括号内单词的正确形式 Have you ever picked strawberries yourself? The sweet fruit looks nice, but light pressure can make them out of shape, so you have to be very 【1】(care) when picking them. Nowadays, there are many young people 【2】are just like strawberries. They 【3】(easy) break down when they face difficulties. There is a name for them — strawberry kids. Why are many children so easy to break down? Many students are the only child in their family. Their parents do almost e【4】 for them in their daily life. They hardly ever get criticized(被批评) at home and always feel good about themselves. If these students are criticized strictly by teachers, they f【5】 upset and begin to doubt their own abilities. And schools? Many schools care more about 【6】(student) grades instead of developing their personality. As a result, students get satisfying grades 【7】they are not mentally(精神上地) strong enough. Young people should learn how to make themselves mentally strong. An expert said, “Whenever you are in trouble, don’t ask for help too quickly. You should try 【8】(deal) with problems first by yourself. Take an active part 【9】 sports and social actives. That can help you become mentally strong.” Growing up is not just a happy process. Pains also go along. The most important thing is【10】(面对) the pains bravely and learn from them.