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Third grade mathematics thinking questions
1. One of the three people, A, B and C, did something good. After Mr. Zhang knew the situation, the three men said the following words respectively. A said; I didn't do it, and C.B. didn't say it; I didn't do it, and A.C. didn't say it; I didn't do it, and I don't know who did it When the teacher asked, I realized that they all told half the truth and half the lies. Please infer who will do this good thing. Judging from what A said, it must be one of them. Judging from B's words: A did (if B did, A didn't, which contradicted A's words; If B didn't do it, A did it. If C did it, he must know who did it. So "A" did it. 2. The rectangle is 9 cm long and 4 cm wide. Divide it into two pieces of the same size and shape, and then put them together to form a square. Is it possible? First, divide the rectangle into the following two pieces.

■■■■■■□□□

■■■■■■□□□

■■■□□□□□□

■■■□□□□□□

Then spell it into the box below.

■■■■■■

■■■■■■

■■■□□□

■■■□□□

□□□□□□

□□□□□□

The side length of each small square is 1cm, and the area of the original rectangle is 4cm× 9cm = 36cm2. It is a square with a side length of 6 cm and an area of 6? 0? 5 square centimeters =36 square centimeters.

3. Love learning 8

-Love learning

-

Xi 8 Xi

So love+learning+learning =? 、、

Step 1: The minuend must be 1, that is, love = 1. Because the minuend and the difference are not thousands.

Step 2: The minuend unit is 8-Xi = Xi, or 18- Xi = Xi. Yes, Xi =4 (unsatisfactory) or Xi =9 (satisfactory).

Step 3: OK, study =0.

Step 4: Love+Learning+Learning = 10.

4 .. 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, put these ten numbers into three numbers, and add the first number and the second number to equal the third number. It is required to use all ten numbers, but each number can only be used once and cannot be repeated. 724+365= 1089

742+356= 1098

765+324= 1089

756+342 = 1098473+625 =1098 5. Accommodation for three people, each10 yuan, a ***30 yuan, the boss took advantage of their 5 yuan, so he let that person pay it back. The man thought for three people, 5 yuan, and secretly hid 2 yuan, and each person shared it. The remaining dollar went there and replied, "In fact, everyone uses 9 yuan, 3927, plus that 2 yuan, a ***29 yuan". This algorithm itself is wrong, so there is no remaining 1 element.