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Cold mathematics
The first question, odd function (direct drawing is also acceptable)

Origin symmetry: f(x) and -f(-x) images are symmetrical about the origin.

There is another explanation.

Flip the y = 2-x image along the y axis to get y = 2-x.

Then flip the image on the x axis to get Y =-2-X 2-x.

The obtained image and the original image are symmetrical about the origin.

Option d

The second question, draw an image of y=sinx to judge (this will not be hopeless)

Choose B.

The third question, in fact, this is a random sampling model, which directly extracts two quarters, and everyone is selected with a probability of 1/2.

Choose B.

Of course, classical probability can also be used.

A * * * has c (4,2) = 6 selection methods.

Three of them (ethylene propylene, ethylene butyl, ethylene butyl) are not drawn.

The probability is 3/6= 1/2.

Pure hands, hope to adopt, thank you.