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As shown in the figure, a chopstick with a length of 24cm is placed in a cylindrical water cup with a diameter of 5cm at the bottom and a height of 12cm. If the length of the chopstick exposed on the outside is HCM, the value range of H is () A. 0＜h≤11B. 11≤h≤12C. h≥12D. 0＜h≤12
When the chopsticks are perpendicular to the bottom of the cup, h is the largest, h is the largest = 24-12 = 12cm. When the chopsticks and the bottom of the cup and the height of the cup form a right triangle, h is the smallest, as shown in the figure: at this time, ab = AC2 + BC2 = 122 + 52 = 13cm, ｜ H = 24-13 = 11cm
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