已知
,
.
(1)求证:
;
(2)证明:若点
在指数函数
的图像上,则对同一个
,点
也在对数函数
的图像上.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53d4205d528820bc28de45e4378547bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17a6e2fbf26c84a3301b5249f70ac8ca.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b98f2c47e43878c5ba4feb3b5cc500b9.png)
(2)证明:若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0eca933e9678e98c96a35ee03e07d4ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d018d0b5d1970404a82d6dc0d5e1771c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82869dad28f771d088772a2c2b08b187.png)
2019高三·全国·竞赛 查看更多[1]
更新时间:2018-12-26 14:33:55
|
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解答题-问答题
|
适中
(0.65)
【推荐1】证明:定义在
上的奇函数
能表示为一个周期函数与一个线性函数之和的充分必要条件是
的图像有异于点
的对称中心
.
注:线性函数是指形如
,
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可为任意实数的函数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b2c84e7b41a841a230ed5f8a42309aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4562f3225c98cf5cb11b47d98c9cc9c3.png)
注:线性函数是指形如
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12c67711522ae37bcc97f9d8a023debe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eabd5f3a86afe49dcd70571e2b96cfd.png)
您最近一年使用:0次
解答题-问答题
|
适中
(0.65)
【推荐2】设二次函数
与x轴有交点.若对一切
,有
,且
.求
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的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb6885a889969e7c1c1a9ee8d07c800d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4166972dec0aa3e8694a44eeb941a08.png)
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(0.65)
名校
【推荐2】已知函数
.
(1)若对于任意的
,均有
,证明:
;
(2)当
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,
成立的充分必要条件为
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/228ec94a217b7fab0cfe5e23a891a403.png)
(1)若对于任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f66d61d5f66d68b4c4a2a25fd7103621.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60e333ce67e47ca86f2737c6426e00c6.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/731bdc8d2686a05f12a2ba8a7e3b01be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f7dbb416ec1ff1984a724a4f48bf692.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/366839b25310cb3168d411b1d5f73b06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53b41da54debbb3f80eddedf2d0eacf4.png)
您最近一年使用:0次