Converted into a dot diagram, it is1+3+5+7+9+11= 6x6 = 36.

2. A bucket of water * * * weighs 30 kg, and half of the water is poured out, leaving 18 kg. How many kilograms did the original water weigh?

Draw on several axes and you can see at a glance that the original water weighs 24 kilograms.

3. Calculate1/2+1/4+11/6+...+1/512.

According to the combination of numbers and shapes, this formula is finally equal to 5 1 1/5 12.

The combination of numbers and shapes is one of the common thinking methods to solve mathematical problems. The combination of numbers and shapes can make some abstract mathematical problems intuitive and vivid, change abstract thinking into image thinking, and help to grasp the essence of mathematical problems. In addition, due to the combination of numbers and shapes, many problems are easy to solve and the solutions are simple.