1 . 狄利克雷函数
是有名的“以概念代替直觉”的函数,现定义“L函数”满足
,则关于狄利克雷函数与L函数有以下四个结论:
①
;
②
函数是偶函数;
③
函数图像上存在四个点
,
,
,
使得四边形
是菱形;
④
函数图像上存在四个点
,
,
,
使得四边形
是矩形;
其中所有正确结论的序号是 ( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66d24968109a43ac52006dec416f14b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e13a2397d9d8922251a71b27afd4ca68.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48b8f300d5096abf2bef3f4da576f3d1.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c88d9142df6ba8e43c1a93bd04a1362.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c88d9142df6ba8e43c1a93bd04a1362.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c88d9142df6ba8e43c1a93bd04a1362.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
其中所有正确结论的序号是 ( )
A.① | B.②③ | C.①③ | D.①④ |
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