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1.已知全集I={实数对(x,y)},集合A={(x,y)|(y-4)/(x-2)=3},B={(x,y)|y==3x-2},求A∩B。 2.设全集I={2,4,a~2-a+1}及集合A={a+1,2},A={7},求实数a。 3.设集合A={(x,y)|x∈Z,y∈N,x+y,<3},集合B={0,1,2},从A到B的对应法则f:(x,y)→x+y,试画出对应图,判断这个对应是不是映射? 4.已知集合A={x|x∈R},B={y|y∈R},从A到B的对应法则f:x→y=tg2x,(1)求A的元素arctg2的象;(2)求B里元素5的原象;(3)上述对应f是否一一映射?为什么? 5.已知函数y=2/3(9-x~2)~(1/2)(-3≤x≤0),求它
1. Known universal set I = {real number pair (x, y)}, set A = {(x, y) | (y-4)/(x-2) = 3}, B = {(x, y) |y==3x-2}, find A∩B. 2. Let the full set I={2,4,a~2-a+1} and the set A={a+1,2},A={7}, find the real number a. 3. Let the set A = {(x,y)|x∈Z,y∈N,x+y,<3},set B={0,1,2}, and the corresponding rule from A to B f:( x, y) → x + y, try to draw a map, determine whether this mapping is a map? 4. Known set A = {x | x ∈ R}, B = {y | y ∈ R}, from A to B’s corresponding rule f:x→y=tg2x, (1) finds the image of the element arcctg2 of A; (2) seeks the original image of element 5 in B; (3) whether the corresponding f corresponds to one mapping or not? Why? Known function y=2/3(9-x~2)~(1/2)(-3≤x≤0), find it