Current location - Training Enrollment Network - Mathematics courses - How to do the seventh and tenth questions in the second grade math volume?
How to do the seventh and tenth questions in the second grade math volume?
The following statement is true (b)

A translation does not change the shape and size of the graph, but rotation changes the shape and size of the graph.

B, the translation and rotation of the same point is to change the position of the graph.

C, graphics can be translated to a certain distance, can also be rotated to a certain distance.

D, the graphics obtained by translation must also be obtained by rotation.

Test center: the nature of rotation; The essence of translation. Analysis: according to the nature of translation and rotation, analyze the options one by one and eliminate the wrong answers. Solution: A. Translation does not change the shape and size of the graph, and rotation does not change the shape and size of the graph, so it is wrong;

B, translation and rotation * * * the same point is to change the position of the graph, so it is correct;

C, graphics can be translated to a certain distance in a certain direction, and the rotation is a circular motion around the center, so it is wrong;

D, translation and rotation cannot be confused, so it is wrong.

So choose B.

This explanation is unconvincing, especially options B and C. I hope to get a convincing explanation.

Forget A and D. Option B, and rotate to change the position of the graph. Let me give you an example. A circle rotates 360 degrees around the center of the circle (that is, the center of rotation). Isn't the rotated figure completely coincident with the original figure? There are two doubts, 1, and the position of the circle did change during the rotation. 2. Due to the rotation of the circle, the position has not changed. So I don't think the question of option B is accurate. Who will explain to me why option B is correct and convince me? Option c, for example, if the triangle abc rotates 30 degrees around a point outside the triangle (that is, the center of rotation) to get the rotated triangle a 1b 1c 1, isn't there a distance between the triangle A1b1and the original triangle? It is the length of the connecting line between two triangles corresponding to the vertex. Who can explain why it is wrong? I hope your answer will convince me.