Traditional Culture Encyclopedia - Traditional customs - Looks like the question is unsolvable inspiration

Looks like the question is unsolvable inspiration

The questionA rectangular block of wood with a painted surface, the length, width and height are all whole centimeters, cut it into a number of small squares whose prongs are one centimeter in length, how many small squares are there at most with all five sides outstanding? At least?

Analysis of the first reading of the topic, it seems to read the wrong, and then read it again, doubtful, three reading of the topic, indeed, no solution, it seems to be wrong, and then concluded that the question is wrong, the general public is this heart, to define the topic of the ability to judge their own right or wrong, so as to find excuses for their own "ignorance", retreat. Conventional thinking, a rectangle, the surface coloring, cut into a number of unit cubes, only three sides of the coloring, two sides, one side of the coloring, or no coloring surface, which has four sides of the coloring of the cube? Not to mention a maximum number of pieces? Not even there, not to mention the maximum number of pieces, really puzzled.

The reason for the lack of understanding, the original is the result of stereotyped thinking. Thinking stereotypes, we all think in accordance with the conventional thinking management problems, lack of thinking flexibility, accuracy; crack thinking stereotypes of the method, to think the other way around, think of a different angle, brainstorming, easier to understand. Five faces are colored, only one face is not colored, how this face is not colored, the reason for the overlap. At this point, two units of cubes put together into a rectangle, the external coloring, sawing from it, so that there are five sides of coloring, so the answer is solved, 2 squares five sides of coloring, at least 0 cubes five sides of coloring. It turns out that it's not the question that's wrong, it's the thinking that's wrong. Therefore, often multi-perspective or reverse thinking, can prevent stereotyped thinking.

Cultivate the ability to think in reverse, think about solving practical problems, transform the problem, realize no solution to a solution to transform. Such as dividing the coloring problem, change the puzzle coloring problem, make it difficult to easy. This problem seems impossible to color five sides, which is the reason why the common rectangular division is not solved; in turn, the puzzle and then coloring, solved. A square coloring is six sides, two three squares into a rectangle, coloring division, see two squares have five sides coloring. Ideas change, the darkness is clear.

Extension extension of a cube, six sides written on the 1 to 6 numbers, relative to the number of each is how many? Known from three different angles direction, see the number arrangement characteristics. Please determine how much each corresponding value?

Do the experiment, change the angle, experience see the neighboring numbers can see not relative, can not see may be relative, exclusion method natural answer. Thus, from not to be able to do, difficult to easy, improve thinking ability. Encountering problems, half a moment to think out, if you give up, the problem will not be solved with the passage of time, only positive thinking, thinking differently, multi-angle analysis, thinking stereotypes are broken, thinking flexibility, creativity, to enhance the ability to think creatively to reach a higher level.

Another example, a cylindrical box with a grain of sugar, the outer edge of an ant to cross the wall of the cup , to eat the sugar, what is the shortest path, try to mark out. Do the experiment, and then take open, compare the shortest path, and finally through the calculation, get the idea of the problem solving. (Solve the problem process slightly)

The problem put forward, seemingly unsolved, but the idea is not the right head, or thinking stereotypes, can not be solved, the need to change the angle of positive thinking, experimental operations, make sense of the idea of solving the problem, the development of intelligence, is an important revelation of the problem solving is the value of the development of intellect.