Selected Mathematics Examination for Senior High School Entrance Examination (08 Jinan)

Analysis: 1, easy to prove; A( 1， 1)，B( 1，3)，C(3， 1)

2. According to the properties of inverse proportional function, K is equal to the product of abscissa and ordinate of any point on hyperbola, so the range of K is

The product of the horizontal and vertical coordinates of all points in a triangle.

3, so the smallest case is easy to know as point A, and it is concluded that k is greater than or equal to 1.

4. The point on AB should take the maximum value, and the AB function is y=-x+4. So K=xy=x(-x+4)=-x? +4x=-(x-2)？ +4. So the maximum value

4 (when taking the midpoint of AB)

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