Current location - Training Enrollment Network - Mathematics courses - For example: ① A child plays a hoop game. This ring is round. When the iron ring rolls forward, the hook of the iron ring keeps tangent to the iron ring. This game is abstracted into mathematics.
For example: ① A child plays a hoop game. This ring is round. When the iron ring rolls forward, the hook of the iron ring keeps tangent to the iron ring. This game is abstracted into mathematics.
Solution: A straight line passing through M and parallel to AC intersects OA and FC at H and N respectively.

(1) in Rt△OMH, ∠ ohm = 90, OM = 25, MH = OM× SINα = 15, so OH = 20, MB = HA = 25-20 = 5 (cm), so the height of the hoop hook from the ground is

(2)

∠∠ home +∠OMH=∠OMH+∠FMN=90, ∠FMN =∠ home = α,

∴ FN/FM=sinα=3/5

That is, fn = 3/5 FM. In Rt△FMN, ∠ FNM = 90, Mn = BC = AC-AB = 55- 15 = 40 (cm), and FM square = FN square +MN square is defined by Pythagorean theorem, that is, FM square = (3/5 FM) square.

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