1 . 已知x,y,z是3个大于等于1的实数,那么
最小值写成最简分数后分子分母之和是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58fcd69b1c9e63b91b0274cc02b80c91.png)
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2 . 设
的三个内角分别为A,B,C,假设
的最大值为
,将
写成最简分数后分子分母之和为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ff214d99784c6b23b7784bdaf3ed37a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd9abd7168399e6881800577a90c3b5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07c9121cede0ee0562e23b8a26b34616.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07c9121cede0ee0562e23b8a26b34616.png)
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3 . 如图,两同心圆的半径分别为6、10,矩形
的变
、
分别为两圆的弦.当矩形面积取最大值时,其周长为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/7/b09f8fce-c170-4abd-a62b-555892a33d07.png?resizew=152)
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4 . 已知实数序列
的构成规律由递推关系
,
给出.求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29fecaa6b3e14aaf1a20ccf2b39bbe7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d662dfb2f92ce2a810fae17274961849.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1524c9441f8bdf59d0dac2a50aaf140e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/323a14b9cde865c729442f5eb928b468.png)
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5 . 如果 a 、b 、c 是正数, 求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1f50f1769a8994bed8d5300fd76fc70.png)
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6 . 实数
、
、
使得:
和
.则
的最大值为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d95e773f9ee66c1eb6365f325f68b2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f16c1d1114654234843b71e4a1be63b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29ebc856291255f2d4a6c20b982a2442.png)
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