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1 . 若将函数
的图象向左平移
个单位长度,平移后的图象关于点
对称,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46626b75bd7bc420bf32b66e3253b40b.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/910e7e5d9a3f85cb047f8358cafe76ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af9955b5aebb73cd84447e8541f901ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47c1fad7af7df8e93160cf83788bec5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46626b75bd7bc420bf32b66e3253b40b.png)
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2023-06-25更新
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4卷引用:江西省丰城中学2023-2024学年高二上学期入学考试数学试题
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2 . 已知函数
,如图
是直线
与曲线
的两个交点,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9448bf1d6136b3a108e7ea60506ad39.png)
____________ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e6a0814ed046b1bc663ea87583b31b6.png)
____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8ca1100b456583c791b802ea0b12cda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2f3fa679bb55ded25a9b72a8e788cb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/407b01444d49e25bf3b7dfacc307bb93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9448bf1d6136b3a108e7ea60506ad39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e6a0814ed046b1bc663ea87583b31b6.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/10/dbaffb05-2cca-47a5-9f34-e702a613fc15.png?resizew=163)
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4卷引用:北京市第一六一中学2023-2024学年高三下学期开学测试数学试卷
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3 . 已知函数
及其导函数
的图象如图所示,若函数
在
上恰有3个不同的零点
,且
,则
=________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c460fc4e5266d7e910a0cd1e5c4c0be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcbae0deb3e9810fb4f9927d63bd17bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5175a4148b2a704eb29dd3bb77d033c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de486039ba80d8c47b4e51b97489928b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05b8ec9d4206ea66a02de5c4a1e1e911.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1310a7a80d1f8751a3f8cafe7f8c8b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a5b965b3f27889e139013aa8c8f8fe3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/3/7/725e6123-e6f5-44f8-b72c-f042e8c509ec.png?resizew=183)
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4 . 函数
的部分图象如图所示,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/918bf429ec528a5a3d8e53d1bf2cd687.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26055724538a488758c21e7cb2dafce8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/918bf429ec528a5a3d8e53d1bf2cd687.png)
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2020-02-04更新
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5 . 函数
的部分图象如图所示,若
、
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbd78b7cb1f5cfdd36c44f7e1b86b72b.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ab663a117b902aaaf4357bb6e0ba9ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/979643aadb66fe91dcb6894022d1fdf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/478052f005a72e660f55b439e77955dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbd78b7cb1f5cfdd36c44f7e1b86b72b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/8/10/19c73d32-d75d-493d-862c-2ec431f6e0da.png?resizew=182)
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6 . 函数
的部分图象如图所示,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c69303bd9eccb3ccb55c9e4cd03a8a3.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ab663a117b902aaaf4357bb6e0ba9ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c69303bd9eccb3ccb55c9e4cd03a8a3.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/8/21/2551045f-9e88-46b0-8d14-c88fc6e6c39f.png?resizew=186)
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7 . 函数
(其中
,
)的图像如图所示,为了得到
的图像,则需将
的图象向右最小平移______ 个长度单位.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af5e2a383cb47eb87493e86c8c40caf0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13378be06b6b01bcad1d261ff14e87cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1a7876bcfcfb06d2d0fcc4f7648586.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16b3c1bef51cb5fe6d9fe0b033c6b026.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
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8 . 函数
的部分图象如图,若
,且
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bffd29b2e8192d673308bdf8d5cb6cab.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eff52e7c43e535e548505c03d47f8f9e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/531851cbfee5d688aa4c8c2a15c97053.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c36825543013336c9df727bc51ff62c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bffd29b2e8192d673308bdf8d5cb6cab.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/31/9ad1f689-f721-4e42-9aa7-7818516c8124.png?resizew=138)
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9 . 已知函数
(
,
)的部分图象如图所示,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6097df40627705e5c635adaf088372e.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0e4892080a918aa2127c09e8d4c28c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64a297d9b18487cde772be5c7d2676b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6097df40627705e5c635adaf088372e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/7/21/8f2e08ab-49d5-4b2a-8ba5-63c57910532d.png?resizew=172)
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10 . 函数
的部分图象如图所示.若方程
有实数解,则
的取值范围为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c00299e2356c68a36c3a4dd50d90ced1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be0ea56391621d4b47b15c0d57ced6e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/20/6327f200-26b6-4d48-84cf-9e0f34bb2937.png?resizew=182)
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