1 . 在数列
中,
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0acca5aa6b2285d897a65c289c1b54ba.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b13a6e1d671215fc96e4bee3541d1096.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc48cbf37aa82359f1aedb258af9d34b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0acca5aa6b2285d897a65c289c1b54ba.png)
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2 . 已知
,且
,则函数
的零点为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7c25d8f0fd3e907886c99aafd62c671.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67653fd1430f8ad1445414070ddf3346.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62b9a9df7e92ea7a60b58ca18613b066.png)
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3 . 已知
,
,
,则
,
,
大小关系为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ac25650bef61b011e11ad243c333608.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dfcfbf4c85a4b967b590fdb069a059c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30a3a0b4303054c37da9d9f743a0342f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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4 . 已知
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/517e1b2b7ccec4c89b9b0d8f463c0ef3.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2卷引用:河南师范大学附属中学2024届高三下学期最后一卷数学试题
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5 . 已知函数
的零点为
的零点为
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3a88cea6e5ba43dd2649f4b4618702b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2c4ce2227db17c099728728d641aca4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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3卷引用:湖南省怀化市2023-2024学年高三下学期第二次模拟考试数学试题
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6 . 证明下列各题:
(1)求证:
;
(2)用综合法或分析法证明:若
,则
.
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/add637eef4cd8802b4eb211aa4f6e572.png)
(2)用综合法或分析法证明:若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf04fe8895c10624636a815d3d752975.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0da537e5284dc9786845fca39a9ca913.png)
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7 . 使得不等式
和
均成立的一组
,
的值分别为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc5e4427e90a5e163731ddf70465910b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81b9426e40c86c5b1806ae723b033694.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
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8 . 已知
,
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f9eeef6fd7209130188dba2e572acde.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19ab7b2a2193a82b484182a14b926803.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97518ca6f45e95fd6ba2966bac24c240.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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9 . 函数
(
且
)的图象恒过定点
,若
且
,
,则
的最小值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32751c39a4200a960a21be7ba3bb36f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cc6b91ee0383aa1149937f752697141.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/625b076f50e4a252aaa628f64ade741e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de8610232c77741a37463feba1a66c94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dec022e65aafc4fc7dca683ecda67e5b.png)
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2卷引用:陕西省西安市西安中学2024届高三仿真考试(一)数学试题
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10 . 已知函数
的图象关于直线
对称,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892560dcff6af9f66a3f735652f69dd7.png)
________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e361b9615c60f4e5c71902447ef9064f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82b334dafda377c3db77647c8cf1e95f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892560dcff6af9f66a3f735652f69dd7.png)
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2卷引用:宁夏银川一中、昆明一中2024届高三下学期联合考试二模文科数学试卷