1 . 若函数
为偶函数,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b152d24340111b2c668c6e32c9507a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
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2 . 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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3 . 使
成立的一组a,b的值为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
__________ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6adbf2065a4233e18a04390a8e4ac323.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
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昨日更新
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362次组卷
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2卷引用:北京市中国人民大学附属中学2024届高三下学期5月热身练习数学试题(三模)
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4 . 某科创公司新开发了一种溶液产品,但这种产品含有
的杂质,按市场要求杂质含量不得超过
,现要进行过滤,已知每过滤一次杂质含量减少
,要使产品达到市场要求,对该溶液过滤的最少次数为______ .
(参考数据:
,
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f762a1de162d8dca6dcd06a3107c3fe5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe619bd93756ad8656ba0d02c4fddca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dac452fbb5ef6dd653e7fbbef639484.png)
(参考数据:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef98775e12ea3852135792e34526a519.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/295fbcedb830aa9acb83aef417f07202.png)
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5 . ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbbce4d3c2976bc6e89911985a09da99.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbbce4d3c2976bc6e89911985a09da99.png)
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解题方法
6 . 若函数
为偶函数,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ddc2c2ca79967bfd44d54a488712508.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
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7 . 已知函数
,若
,则当
取得最小值时,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1817297374e431a1d9087dcc2991d3a9.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8e863ea4f1e8af63d06ad88a235a48f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9f81c0a84cd2c60891b1d71de2dbdf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a45437e5332f864582b88474569adf73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1817297374e431a1d9087dcc2991d3a9.png)
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解题方法
8 . 若函数
在
上单调递减,则实数
的取值范围为_____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bb29e55bea25d3eee08f34851d0f174.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25f114df5ceabdb7e5fd3fdad4eaf056.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
9 . 设
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ba24a5dce47fbd2a79a593ca0be5069.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8011eeefc40482bd0e627d84a30aeb19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ba24a5dce47fbd2a79a593ca0be5069.png)
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10 . 若
,则
的最小值为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec3a0da7554c929ccff1a05dbe696f27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/059d6df06a5b85848dc4fa33327f8e07.png)
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