题干

如图,已知反比例函数y=
m
x
(m是常数,m≠0),一次函数y=ax+b(a、b为常数,a≠0),其中一次函数与x轴,y轴的交点分别是A(-4,0),B(0,2).

(1)求一次函数的关系式;
(2)反比例函数图象上有一点P满足:①PA⊥x轴;②PO=17(O为坐标原点),求反比例函数的关系式;
(3)求点P关于原点的对称点Q的坐标,判断点Q是否在该反比例函数的图象上.
上一题 下一题 0.0难度 选择题 更新时间:2019-12-03 02:46:00

答案(点此获取答案解析)

解:(1)∵一次函数y=ax+b与x轴,y轴的交点分别是A(﹣4,0),B(0,2),
-4a-b=0b

同类题2

阅读理解

Benjamin West, the father of American painting, showed his talent for art when he was only six years of age. But he did not know about brushes before a visitor told him he needed one. In those days , a brush was made from camel's hair. There were no camels nearby. Benjamin decided that cat hair would work instead. He cut some fur from the family cat to make a brush.

    The brush did not last long. Soon Benjamin needed more fur. Before long, the cat began to look ragged (蓬乱). His father said that the cat must be sick. Benjamin was forced to admit what he had been doing.

    The cat's lot was about to improve.  That year, one of Benjamin's cousins, Mr.Pennington, came to visit. He was impressed with Benjamin's drawings. When he went home, he sent Benjamin a box of paint and some brushes. He also sent six engravings (版画)by an artist. These were the first pictures and first real paint and brushes Benjamin had ever seen. In 1747,when Benjamin was nine years old,Mr.Pennington retured for another visit .He was amazed at what Benjamin had done with his gift.He asked  Benjamin's parents if he might take the boy to Philadelphia for a visit.

In the city, Mr.Pennington gave Benjamin materials for creating oil paintings.The boy began a landscape (风景) painting.Wiliams ,a well-known painter,came to see him work . Wiliams was impressed with Benjamin and gave him two classic books on painting to take home .The books were long and dull. Benjamin could read only a little,having been a poor student.But he later said,”Those two books were my companions by day,and under my pillow at night.”While it is likely that he understood very little of the books,they were his introduction to classical paintings.The nine-year-old boy decided then that he would be an artist.