名校
1 . 已知连续不断函数
,
,
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffb0b2e34e1e4581465b63b9398659a6.png)
(1)证明:函数
在区间
上有且只有一个零点;
(2)现已知函数
在
上单调递增,且都只有一个零点(不必证明),记三个函数
的零点分别为
.
求证:(i)
;
(ii)判断
与
的大小,并证明你的结论.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c23a4318dbb9b8cd8ea042503f661f78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a684d833df633394761bc2222d28da7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d49ec515fb1fdc93ca4dda443326ad5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffb0b2e34e1e4581465b63b9398659a6.png)
(1)证明:函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f00f2f6ab162f9333ec55db195d663b.png)
(2)现已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c7921ee6a8981f1f4980cdcb0f921bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f00f2f6ab162f9333ec55db195d663b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc4978f812146b4566467ee255fc1c71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05b8ec9d4206ea66a02de5c4a1e1e911.png)
求证:(i)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f3f7bbc8d8d40096103d870563419fd.png)
(ii)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/291c25fc6a69d6d0ccfb8d839b9b4462.png)
您最近一年使用:0次
2018-06-20更新
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289次组卷
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2卷引用:广东省广州市执信中学2019-2020学年高一上学期期末数学试题