2020高三·全国·专题练习
1 . 在一块顶角为
、腰长为
的等腰三角形厚钢板废料
中,用电焊切割成扇形,现有如图所示两种方案,既要充分利用废料,又要切割时间最短,问哪一种方案最优?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c0927afc571a7c966c98192040979e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4819c39c281427826e1b3f7a4c2b720.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/13/6905c365-29fe-4f36-ae52-75004d0034fb.png?resizew=296)
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2 . 如图所示,用两种方案将一块顶角为
,腰长为2的等腰三角形钢板OAB裁剪成扇形,若方案一、二扇形的面积分别为
,
,周长分别为
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
_________
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
_________
(用“<,=,>”填空)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c0927afc571a7c966c98192040979e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://img.xkw.com/dksih/QBM/2020/12/30/2625242144669696/2626006800564224/STEM/9fc8fcb6-40b7-4727-8723-a5de58d32983.png?resizew=590)
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3 . 在一块顶角为
,腰长为
的等腰三角形废钢板
中裁剪扇形,现有如图所示两种方案,则
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/6/2af2a19f-ca43-4b4f-9961-db712b43cc48.png?resizew=423)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39289d3709ba1e565b165c30ed981d87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4819c39c281427826e1b3f7a4c2b720.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/6/2af2a19f-ca43-4b4f-9961-db712b43cc48.png?resizew=423)
A.方案一中扇形的面积更大 | B.方案二中扇形的面积更大 |
C.方案一中扇形的周长更长 | D.方案二中扇形的周长更长 |
您最近一年使用:0次