题干

房地产开发商在某城市(31.5°N)计划建造两栋商品住宅楼,为使北楼所有朝南房屋在正午时终年都能被太阳照射,在两栋楼水平间距为40米的情况下,南楼的高度最高约为多少米?(可能会用到的数据:tan35°≈0.7,tan45°≈1,tan60°≈1.8tan82°≈7.1)

过程:该城市的楼房会在冬至日达到正午太阳高度的最小值,即冬至日时楼房的影子最长,最容易遮挡住北楼的阳光,该城市冬至日的正午太阳高度为:H=90°﹣纬度差(太阳直射点纬度和当地纬度的差值)=90°﹣(31.5°N+23.5°S)=35°设南楼高度为X米,则根据几何知识可得:tan35°=X/40米解得:X=28米;结论:南楼的高度最高约为____米.

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同类题4

阅读下面短文,掌握其大意,然后从各小题所给的四个选项中选出最佳选项。

    One thorn(刺) of experience is worth many times of warning.

    Ralph Wick was seven years old. In most things he was a fine boy, but he would cry from time to time. When he could not have what he wanted, he would 1for it. If he was told that it would hurt him, and he could not 2 it, he would also cry.

    One day, he went with his mother into the 3. The sun shone. The grass was cut. The flowers were starting to come out.

    Ralph thought he was, for once, a good boy. A 4 was on his face. He wished to do as he was told. Ralph helped his mother with the farm work and he was very happy.

    “Now you must be tired and 5,” said his mother. “Have a good rest here and eat some cookies. I will get a beautiful red rose for you.” So his mother brought the red flower to him. When he saw his mother still had a white rose in her hand, Ralph 6 it.

    “No, my dear.” said his mother. “See how many thorns it has. You must not touch it, or you would be sure to hurt your 7.” When Ralph found that he could not have the white rose, he began to cry, and 8 took it away. But he was soon very sorry. The thorns hurt his hand. It was so 9 that he could not use it for some time.

    Ralph would never 10 this. From then on, when he wanted what he should not have, his mother would point to his hand which had been hurt before. He at last learned to do as he was told.