名校
1 . 函数
的部分图象如图所示.
的图象的对称中心;
(2)若
,且
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4888e71eb482bad8102bcdaab6ef2eb6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8af5297c9949914aceb44d6b1df814c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f6c553e3698ff5ed19800ab21204664.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
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2 . 已知函数
的部分图象如图所示,则函数
=______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a822496a635208fa99fdf6140272bc01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
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3 . 设函数
的图象关于原点对称,且相邻对称轴之间的距离为
则函数
的单调增区间为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb57b67b60a610525e508d04fb7423e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20e3c308097638963f78a85e6f0db299.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1f0bdf14961884c43075f449b9a0f6f.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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名校
4 . 已知函数
的最小值为
,其图象与y轴的交点为
.
(1)求
的解析式;
(2)求
在
上的单调递增区间;
(3)对于任意的
,
恒成立,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60c22a9b344e24d5f48ef8de38c0a2bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274a9dc37509f01c2606fb3086a46f4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab1242ec96ac54e2fd418988d5190a88.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95ed3345d00bfcbabb50d64c457a3b58.png)
(3)对于任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7fa15ce20b7a075742dceb172153f98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e39b4cc00edd5e6442eea18b6c16e5d.png)
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5 . 已知函数
的部分图象如图所示.
的解析式;
(2)求函数在区间
上的最大值和最小值以及对应的
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8958a4b164d0c948463dbe9493f3b2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)求函数在区间
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05cc9d225229bad9e7e43ba3a324fd99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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名校
6 . 如图是一个摩天轮的示意图,该摩天轮半径为
圆上最低点与地面距离为
且摩天轮
转动一圈,图中
与地面垂直,游客从
处进入座舱,逆时针转动
后到达
处,设
点到地面的距离为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63446fe42b0d4246148b972e73358ea3.png)
表示成关于
的函数;
(2)由于建筑物的阻挡,当座舱离地面的高度不低于33m时,乘客方可观看远处的无人机表演,已知无人机表演共持续
求乘坐摩天轮可观看无人机表演的总时长的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e13f5e3eefc4706a3a7ca62f16ff3d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9826fca897cb24b215fc7b6f6e79cb20.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a628160b971aca3528d447882fa45fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef4113c492885ba7c47fe42ac792578f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cec183057249005d5f234c4bea5de7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63446fe42b0d4246148b972e73358ea3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3eabd5f3a86afe49dcd70571e2b96cfd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(2)由于建筑物的阻挡,当座舱离地面的高度不低于33m时,乘客方可观看远处的无人机表演,已知无人机表演共持续
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50008f31998b964fd8fddfda9cec399a.png)
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解题方法
7 . 如图所示的曲线为函数
的部分图象,将
图象上所有点的横坐标伸长到原来的
倍,再将所得曲线向左平移
个单位长度,得到函数
的图像,则
的解析式为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfb9431a78b5c0244f4c34989e620683.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb80007983e5b99dcdeebf87d18ff4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4b8503f4706b8321e4e79a87eadea84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c487fec20bd809e0baf5cb39afe8979.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb2faa63899873813748f6a28b8a92e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028517e8bebe634441e0a5c79828e88a.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
名校
8 . 已知函数
为奇函数,且
图象的相邻两对称轴间的距离为
.
(1)当
时,求
的单调递减区间;
(2)将函数
的图象向右平移
个单位长度,再把横坐标缩小为原来的
(纵坐标不变),得到函数
的图象,当
时,求函数
的值域;
(3)对于第(2)问中的函数
,记方程
在
上的根从小到大依次为
,试确定
的值,并求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1601033fe01bf40737baa24fda008b6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d49f8a63ddbca52039fa9ab44cda6b29.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c211e796668bc221a2c2acc29311c23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)将函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/037fb348109dc2063a268b10eb925a57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64bba79cf58feec3b7705eb252321b83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
(3)对于第(2)问中的函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/004bc26ffaa7ce5dba3d4794ae24649b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a6a62d3680a1d44c4d423fb52b87cbc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0afb488c0a2f94a3f2d5acb184ef0b6f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ff05389288c4338c7f997168de8be94.png)
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2024-04-20更新
|
261次组卷
|
2卷引用:内蒙古赤峰市敖汉旗新惠中学2023-2024学年高一下学期4月月考数学试题
9 . 已知函数
的部分图像如图所示,
,
为
的图像与
轴的交点,
为
图像上的最高点,
是边长为1的等边三角形,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a145bd103374590092785fd754ad534.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a8dd6fc93467033605abeb8355d089c.png)
A.![]() |
B.直线![]() ![]() |
C.![]() ![]() |
D.![]() ![]() |
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2024-04-18更新
|
1122次组卷
|
6卷引用:内蒙古名校联盟2023-2024学年高一下学期期中联考数学试题
10 . 已知函数
的图象在
轴右侧的第一个最高点和第一个最低点的坐标分别为
和
.若将函数
的图象向左平移
个单位长度后得到的图象关于
轴对称.
(1)求函数
的解析式:
(2)当
时,方程
恰有两个不同的解,求实数
的取值范围.
(3)求
的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e658113eadee1b45111b2a927c24e2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64fab6b1b5fead2fa592e93e455d659a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8837c1a9e4ac202f1505a350bda5c147.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1a63ab608517bb10aa036783dfb51f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd5cdde751120c6deab563a6f7f8cf05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9c0d827ef8598ba6b70b34b2bdcd1e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e77a048288c88d5114addbc094930ab.png)
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