名校
解题方法
1 . 已知函数
(
,
)的部分图象如图所示,图象的一个最高点为M,图象与x轴的一个交点为
,且点M,N之间的距离为5,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/585017cad48cb09110f191b315c68804.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4634d3417959d4d33a10357e451e276f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4456675a5dbe545462a22cef9aca8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af87a22a39bd12c4734b0bdf1596b42a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1dae100046ed97c11f207f935a4b523.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/585017cad48cb09110f191b315c68804.png)
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名校
解题方法
2 . 若函数
的部分图像如图所示,
,则
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/288def5c6256ba51bd1e7d52b3ee7c59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d78decbdafa1659b49cd3cd1e4c9b53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
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3 . 已知函数
的部分图象如图所示.
①函数
的最小正周期为___________ ;
②将函数
的图象向左平移
个单位长度,得到函数
的图象.若函数
为偶函数,则
的最小值是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d3458e4015b9fa3549126d4b93d1c78.png)
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
②将函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59a33482b5c998fe8741c0a6ce12ad73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028517e8bebe634441e0a5c79828e88a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028517e8bebe634441e0a5c79828e88a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
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4 . 设函数
的部分图象如图所示,且满足
.则
的最小正周期为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3819a1dab9af4238e5846f2f30dd0824.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e30cc663c4d6943a2754c67346b41163.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
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5 . 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/fc4f29a473e9757d8f24f627f52e9e15.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54f784a24b6c5c470d4c25e89eaefa8a.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/fc4f29a473e9757d8f24f627f52e9e15.png)
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6 . 如图是函数
图象的一部分,M,N是它与x轴的两个交点,C,D分别为它的最高点和最低点,
是线段MC的中点,且
,则函数
的解析式为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d24b08bad4aff7a359f2b0f7a4f505e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3182f32cc4f57ff13155ada0231d606f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e468bb2936a2ce124285d64497dfa564.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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名校
解题方法
7 . 设函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70a8855aff1b33b5849d88513101d8d8.png)
的部分图象如图所示,直线
是它的一条对称轴,则函数
的解析式为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70a8855aff1b33b5849d88513101d8d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3b018906fdc9a14c09365be22347bd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70c6cb0cc172657611e286e7fa669584.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
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8 . 已知函数
的部分图像如图所示,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9448bf1d6136b3a108e7ea60506ad39.png)
______ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46626b75bd7bc420bf32b66e3253b40b.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f02695b063e9351ea1816a7da5c5451.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9448bf1d6136b3a108e7ea60506ad39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46626b75bd7bc420bf32b66e3253b40b.png)
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名校
解题方法
9 . 已知函数
的部分图象如图,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16b16a66740d7b104d01381235b5b7d8.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c00299e2356c68a36c3a4dd50d90ced1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/16b16a66740d7b104d01381235b5b7d8.png)
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解题方法
10 . 已知函数
的图象过点
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46626b75bd7bc420bf32b66e3253b40b.png)
__________ .,若将函数
图象仅向左平移
个单位长度和仅向右平移
个单位长度都能得到同一个函数的图象,则
的最小值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/149feed6716446899defaefa8f5b863e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11d655ee6d4c2285b6f59652360862d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46626b75bd7bc420bf32b66e3253b40b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15615de1a6df206dbd081251f676578e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d49f8a63ddbca52039fa9ab44cda6b29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/074c228ffc7b1e306f8410afe7bc4b5c.png)
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