1 .
,
,则不超过2024的正整数中可以作为
函数值的个数为______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95749241ac8431d2e731e69769c1cdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
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2 . 使
恰有2个整数解的正整数n的值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7db6187cc7a8e5c863f95fa721065f8b.png)
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3 . 整数列
,
,
,对
有
,
为固定正整数,求使
成立的
的个数______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82f241a73bf197764cebade47dcd9a55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/401b7a6ae9616f1f3a27ff11c8abf2f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ed352cca4f2ffd027a1f203bc4e51bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75cc773ef279d9960a90052c5b710e8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90f6a09c6d8b804e7214da49256f0317.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b25b0878c79813d60afc929c6319434.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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4 . 对实数
,不超过
的最小值的最大整数为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14db6b568531ef989bb26227d54d3055.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b02667b48e703f5a4cdae6201ee3458.png)
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5 . 设递推数列
满足:
,如果对任意的首项
且
,数列中一定存在某项
,则不超过
的最大整数是____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a50836192856e048e1fe207d0b61bc1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5224c5faa2f07d81db12c937e3a38d20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4be043e433182a1255ef5bf2ff2c96fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe1593b8834ccf3f3ddd52a8deec97db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04a38189db22659e85d0baf16dbf5444.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/085d58fb6a91ae4e7712dfa55baff725.png)
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6 . 满足
的所有正实数x的整数部分之和是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3ced6125ae41187142764cb050df1cf.png)
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7 .
中,
,
,作
交
于D.已知
,
,设S为
的面积,则
写成最简分数之后,分子分母之和为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ff214d99784c6b23b7784bdaf3ed37a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58557422677059ad3eebf806022b203c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79e567a94f1d28a9c6693ba1ab89c8a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/909f43d5e0c217a24d0e71b91e6b9855.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c42f33bcd36071743aab327dda456f91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29315b499c8a01b20e1637b2add1dcbd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ff214d99784c6b23b7784bdaf3ed37a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be8023be0e5d4851396c3fb663811beb.png)
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