1. Please draw the fourth graph according to the changing rules of the first three graphs.
( 1)
Answer:
Analysis: The number of black circles in the figure is 3, 5 and 7, and it increases by 2 at a time, so it should be 9 black circles in the end. Or the number of white circles is 9, 7, 5, MINUS 2 at a time, and finally it should be 3 white circles.
(2)
Answer:
Analysis: The number of small circles in the horizontal and vertical rows in the figure is 2, 3 and 4 respectively, and 1 is increased every time, so there should be 5 small circles in the horizontal and vertical rows at the end.
2. Draw the blank part below completely.
Answer:
Analysis: Let's look at the pictures together to find the rules in the grid of Jiugong. The same observation has different methods from different angles.
Method 1: There are three kinds of figures in the first row horizontally: triangle, square with circle and circle with square. Looking at the first column vertically, there are three kinds of figures: triangle, square plus circle and circle plus square. According to this rule, the third row (or the third column) is missing one. (What is missing? )
Method 2: Translate the leftmost graph in the first row to the rightmost graph in the second row, and move the remaining two graphs forward to form the graph in the second row. According to this moving rule, the leftmost figure in the second row is translated to the rightmost figure in the third row, and the remaining two figures are moved forward to form the figure in the third row. (translation)
3. In the following set of figures, what pattern should the last one draw?
Answer: Analysis: All the figures in the figure rotate counterclockwise in Tian Zi coordinate system.
4. Draw according to law.
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△
zero
Answer: Analysis: All the figures in the figure are rotated clockwise in Tian Zi coordinate system.
5. Complete the blank part.
Answer: analysis: look for the law in the nine squares and get the answer according to the lack or translation method.