名校
解题方法
1 . 如图,在等腰梯形
中,
,
,点
为边
上靠近点
的六等分点,
为
中点.
表示
;
(2)设
为
中点,
是线段
(不含端点)上的动点,
交
于点
,若
,
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4adf90a8c2b29334cdc5aa5b554991f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a68895db9b734487593646438653ccb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b7ae2f931da35ad6cd16e2dec974f12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ae54940f33b8714da5fe3b7546f8b3dc.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77a7e4a6765ce78b05ee97764771e01f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fd17a66a2af938c89e46f22e4d893b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49b50357a6545cae8348e3059312f520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61197405c5bc077c5944d0243310b2e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40a14346c46472cf74b617fd26784b85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b53351d85954737437000906554e8283.png)
您最近一年使用:0次
名校
2 . 如图,某商场内有一家半圆形时装店,其平面图如图所示,O是圆心,直径MN为24米,P是弧
的中点.一个时装塑料模特A在OP上,
.计划在弧
上设置一个收银台B,记
,其中![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7223bf3fdadd6f44abce82899bc1ec1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/913d94c18975459c5eb591afce8cc705.png)
_________ (用
表示):
(2)若
越大,该店店长在收银台B处的视线范围越大,则当店长在收银台B处的视线范围最大时,AB的长度为________ 米.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ae728c7be0f0cf78711f3fa5ccccf30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea7b628bd4ac303c86e30508eb81ff60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fa33d0f23b18d580b8b2afb0dfd0c43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9e595083e5fd6282c93a636c66680ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7223bf3fdadd6f44abce82899bc1ec1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/913d94c18975459c5eb591afce8cc705.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2bc29145f6e7557711c34b443bd5e84.png)
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2024-04-16更新
|
334次组卷
|
2卷引用:湖北省荆州市荆州中学2023-2024学年高一下学期5月月考数学试卷
解题方法
3 . 环保生活,低碳出行,电动汽车正成为人们购车的热门选择.某型号电动汽车,在一段平坦的国道进行测试,国道限速.经多次测试得到,该汽车每小时耗电量
(单位:
)与速度
(单位:
)的下列数据:
0 | 10 | 40 | 60 | |
0 | 1325 | 4400 | 7200 |
为了描述国道上该汽车每小时耗电量与速度的关系,现有以下三种函数模型供选择:,
,
.
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2580bb2f3ca0015aca06cf7730fcbe4c.png)
(2)现有一辆同型号汽车从
![](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/dc598e0a0ebea206db23c06ac75fb3c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/870cd01b72fc36199688bc1be099a86e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7759b26a9a0741248bf2bb87ebd01dcc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fc81b52d38d0a8e500860d4ca74415e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c6b1a808a8fb5b9834ee114592dca2e.png)
您最近一年使用:0次
2024-03-21更新
|
153次组卷
|
2卷引用:湖北省荆门市2023-2024学年高一上学期1月期末学业水平检测数学试题
名校
解题方法
4 . 已知函数
分别是定义在
上的奇函数和偶函数,且
.
(1)求函数
的解析式;
(2)设
,对
,使得
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/067fd5770e2e2d208af78f1d9930abf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2628e2dd7a988cc80530e739c22b2280.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a30ada56e5e6d915338770af3fa8e67.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/067fd5770e2e2d208af78f1d9930abf3.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a0920f695fe59f4762384fd7265c39f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82dc1e9754abc990be965887022469fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/800de2463135d6a1de3096ca199cfcc5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2024-03-06更新
|
473次组卷
|
2卷引用:湖北省武汉市华中师范大学第一附属中学2023-2024学年高一上学期1月期末检测数学试题
解题方法
5 . 已知函数
.
(1)求
在
上的值域;
(2)
,若对
,
,使得
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68916e8f272c7a4eb2e1c84c996c367c.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c40aeeec9aa219c0af917fd34258282.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73c1156df7a89ce47a748ffe234a8b9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e023a4eb85e27e54f1761063c368c7a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ecc1d824c067f6b4c535de2bb9a7ad57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45095f19fc704de2e45bec5cad78530f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
6 . 荆州自古以来就是一个以鱼产业闻名的地方,而荆州鱼糕更是该地区的八大名肴之一.相传荆州鱼糕起源于舜帝时代,由舜帝妃子女英创制,历经春秋战国等时期的演变,荆州鱼糕逐渐成为楚宫廷的头道菜肴.据说,乾隆皇帝曾品尝过荆州花猜皮糕后咏叹道:“食鱼不见鱼,可人百合糕.”可见荆州鱼糕的美味非常引人注目.当地某鱼糕生产企业由市场调研分析可知,当前“鱼糕”的产量供不应求,某企业每售出 x 千件“鱼糕”的销售额为
千元
且生产的成本总投入为
千元.记该企业每生产销售
千件“鱼糕”的利润为
千元.
(1)求函数
的解析式;
(2)求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2972af8c65701183de194c358b83256c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d2e3bf34c1dc2664a6c39fea45e7b9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cc1df809c0b8751886dc4d589673fbc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次
解题方法
7 . 求下列函数的值域:
(1)
;
(2)
;
(3)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8682d2391af7562e3636daeafed9d784.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/729c9998600fb4d05930bd13f85274a5.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d166622df6621861e3910251de70eb44.png)
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名校
解题方法
8 . 设正实数
满足
,则( ) .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a7dbc702617c765a573961953cc0901.png)
A.![]() | B.![]() ![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2024-01-12更新
|
606次组卷
|
2卷引用:湖北省咸宁市崇阳县第二高级中学2024-2024学年高一上学期12月份模拟考试数学试题
解题方法
9 . 已知函数
,且
的图象关于
轴对称.
(1)求证:
在区间
上是单调递增函数;
(2)求函数
的最值,并计算相应的
值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5cc16cfa270c274ea5ce92cd9413e4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/209c8ec11cab5361185e5e51e5e69be6.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba560562672417ff09b1ff176c4ec988.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
您最近一年使用:0次
名校
解题方法
10 . 已知
,若
,使得
,则实数m的取值范围是_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc64e7904132b80d856b955f5ea9fb77.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a9cf7322c6b0febf616c70b60e543a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e63bbadc6250f7139836ede33205550.png)
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