初中坐标系测试.doc

rectangular coordinate system一、option selectABC图11、as is showed in the graph,if (0，0) represents point A,(0，4) represents B，then the Coordinates of C is ( )A、(0，3) B、(2，3) C、(3，2) D、(3，0)3、two points on a straight line that parallel to x-axis, then the relationship between the two points is( )A、horizontal coordinates is the same B、vertical coordinates is the same C、the absolute of the horizontal coordinates is the same D、the absolute of the vertical coordinates is the same4、if A(-3，a) and B(3，-4) are symmetry points about the origin, then the value of a is ( )A、-4 B、4 C、4or-4 D、uncertain5、if P1(-4，3) and P2(-4，-3)，then the relationship between P1 and P2 is( )A、symmetry about the origin B、symmetry about the y-axisC、symmetry about x-axis D、symmetric relation does not exist.6、known point the distance of P to x-axis is 3, the distance of P to the y-axis is 2, then the coordinates of P is()A、(3，2) B、(2，3) C、(-3，-2) D、no answers are right7、known P(0，a) is on the negative of y-axis, then the position of Q() lies( )A、the left of y-axis and above the x-axis B、left of y-axis and above x-axisC、left of y-axis and below x-axis D、right of y-axis and below x-axis8、known the area of ABC is 3，the length of BC is 2，is B lies at the origin, and BC lies on the x-axis, then the vertical coordinate of A is ( )A、3 B、-3 C、6 D、3二、blanks9、in a Cartesian coordinate system, the number of point(s) corresponding to (-1，2) is_.10、as is showed in 图2，according to coordinate point location, write the following coordinates：A( )，B( )，C( )，D( )，E( )，F( )1ABCDEFOxy-1图211、known the coordinate of A in a plane is (1，-2)(1)if A、B are symmetry about x-axis，then the coordinate of B is( )，(2)if A、B are symmetry about y-axis,thenThe coordinate of B is ( )，(3)if A、B are symmetry about the origin, then the coordinate of B is( )。ABCOy4-212、known A(4，y)，B(x,-3),and ABx-axis，If the length of AB is 5，thenx=_，y=_。13、if point M is on the y-axis，its vertical Coordinates is 5，the coordinate of P is(3，-2)，Then the area of OMP is _。14、in the parallelogram ABCD,AO=5,then the coordinate of A is_, The coordinate of C is_, the area of parallelogram ABCD is _.15、let P(-3，y) shift down 3 units，shift 2 units towards left and the new point is Q(x，-1)，then xy=_。16、known point A(3a+5,a-3) is on the angle bisector of the second and forth quadrant, then a=_.17、known the coordinates of the verticals of trapezoid ABCD are A(1,3),B(1,1),C(5,1),D(3,3) respectively, shift the trapezoid towards left 2 units and then downwards 3 units, then the new coordinates of verticals of the trapezoid is _,_,_,_.the area of the trapezoid is_.18、一个机器人从a robot was start from O point，then go towards east and go as far as 3 m and reached point A1，then it goes north about 6m reached point A2,then it goes west about 9m reached point A3,and then it goes south about 12m reached point A4, and then it goes east about 15m reached the point A5,according to this law，when the robot walded to point A6, the coordinate of A6 is _.19、known line MN is parallel to x-axis，and the length of MN is 5，if M is（2，-2），then the coordinates of N is _.三、 answer questions 20、write out the coordinates of the marked points on the fish, and answer the following question：what is the characteristics of the position of point B and E？ABCDEOxy图621、write out the coordinates of the vertices of ABC and calculate the area of this triangle.O图7ABC1xyFigure 8CBA51oxy22、As is shown in the graph ，in ABC，the coordinates of three vertexes of this triangle is A(-5，0)，B(4，0)，C(2，5)，move ABC 2 units along the positive direction of x-axis，then move it 1 unit along the negative of y-axis and we get EFG。 (1)write out the threeCoordinates of the vertexes ofEFG(2)find the area of EFG。23、figure 9 is the design of a kite.（1）write down each vertex that are marked on the coordinates.（2）keep the vertical coordinates remains，multiply 2 to the all the horizontal coordinates， then what the new coordinates of all the vertexes, try sketch the new kite on the coordinate.（3）if th