1 . 若一个直角三角形中两条直角边都是整数,且周长是面积的整数倍,则称其为“
三角形”,则这样的“
三角形”共有______ 个.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
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2 . 在四边形
中,
,求
的最大值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf87862cc8967ee948741ac8c3a31c93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/23/53ba111b-9e15-49a1-9010-6d642327e9bb.png?resizew=128)
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解题方法
3 . 已知
有实数解,求
的最大值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc6c4dc30c1a756390a5d4b5f0527ba3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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4 . 已知
,求
为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76425e5e25eb3b8b4d3d42f3f0282530.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/23/230827a2-54c1-449c-a22d-422bece8b5d7.png?resizew=145)
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5 . 如图,在Rt
中,
,
,
,
,
为
内心,求![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3045155183b60255854bf010b457f115.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30912a21aa3d8412f8e020e13ce4cd10.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3b8a4b0e72a4de1da975168b243a325.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/624a03a30c48c393ced879c9ef0f4774.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b757f0c42ae5c9a2d6a4b19e5877b27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e105760638b22b26ff8bec4354255e4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/661ff55b5ebbadfb600989af3cfce2fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3045155183b60255854bf010b457f115.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/23/8fc7940f-b02d-4bea-b030-29a6ddaf1098.png?resizew=143)
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6 .
,当
时,
,求
的取值范围______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c9b864c09271378438903135192bdc7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/902e748760713aa242c2344392568368.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d462ed4ec22e8fe51f09eb30e8792532.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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7 .
,求![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892560dcff6af9f66a3f735652f69dd7.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c6ceb607888fe7aed9ca881500caa40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892560dcff6af9f66a3f735652f69dd7.png)
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2014高三·江苏·竞赛
8 . 方程
的非负整数解
的个数为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caf7dcf3426314f0391446f3beec4218.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b525d8c768efd801ab58bc4c0da9221e.png)
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解题方法
9 . 已知集合
,则实数
的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ee26bc591f901321c77d53736fc988a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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10 . 如图,线段
把边长为
的等边
分成面积相等的两部分,
在
上,
在
上,则线段
长度的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/878e89b6eca35e34c863e832a2c661db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e490f703eb6c9bb1278c78ebc2d661.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/18/c6ce0a01-9983-4004-a886-2cafdf932c5f.png?resizew=134)
您最近一年使用:0次
2023-02-16更新
|
501次组卷
|
2卷引用:江苏省徐州市贾汪中学2020-2022学年高一下学期春季竞赛数学试题