名校
解题方法
1 . 已知函数
.
(1)在直角坐标系
下,画出函数
的草图(用铅笔作图);
(2)写出函数
的单调区间;
(3)若关于
方程
有
个解,求
的取值范围(直接写出答案即可).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5399eee71383eec4ae5b92b817ee430b.png)
(1)在直角坐标系
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)写出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb101c5df08aa35ae24a6416840b199b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
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2 . 请同学们补全下面两个关于x的不等式的解答过程.
(1)
;
解:令
,
令
,计算
,
当
时,即
时,方程
不存在实根;
画
草图,
不等式的解集为______.
当
时,即______时,方程
的两根为______.
画
草图,
不等式的解集为______.
当
时,即______时,方程
的两根为______.
画
草图,
不等式的解集为______.
(2)
.
解:令
(*),
则方程(*)的三个根从小到大排列分别为
______;
______;
______.
把三个根分别标在x轴上,并完成表格,
请根据表格写出不等式
的解集.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/458cbcd84273373e0a0bdab32ad42bad.png)
解:令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a4317c59a6012372bc027d7badec24f.png)
令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06295591972865ce5a2fafb1427aa707.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5c70eef4e278303db019587ee2cc20f.png)
当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc39e3f9688bc77675ffdf0dd79da142.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6232dc74b15e4acb0ac3482a1cbe6a52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06295591972865ce5a2fafb1427aa707.png)
画
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/925d9d720033e5e20561eb5f0722ecef.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/6/b7500d30-d563-4620-8611-50152041ac5f.png?resizew=165)
不等式的解集为______.
当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c2b0eb6b8e515c616b5cdd4c37fefc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06295591972865ce5a2fafb1427aa707.png)
画
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/925d9d720033e5e20561eb5f0722ecef.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/6/f7cb6ca2-bf56-448e-896a-91b0659d6ed3.png?resizew=164)
不等式的解集为______.
当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dda1e6337ff7355c2fe9c19f9d619f5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06295591972865ce5a2fafb1427aa707.png)
画
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/925d9d720033e5e20561eb5f0722ecef.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/6/3bdfb626-c867-473d-bcff-8423f5c61714.png?resizew=166)
不等式的解集为______.
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fef1d654789c54f96acda1437cffb865.png)
解:令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d8fa5322900d260782795939a4085c3.png)
则方程(*)的三个根从小到大排列分别为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e92f14fb20f920f88dcad2ccd1d53f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15dad5a12f34bed0da0de93beae0eaa4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e7ad31dd3397f7d2830182a8d309289.png)
把三个根分别标在x轴上,并完成表格,
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/6/9af896b0-08b8-4ac2-980e-9da2035e8cbd.png?resizew=271)
x的取值范围 | ||||
|
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fef1d654789c54f96acda1437cffb865.png)
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3 . 对非负实数x“四舍五入”到个位的值记为
,即当n为非负整数时,若
,则
(如
,
).
给出下列关于
的结论:
①若x,y为非负实数,则
;
②若
,则实数x的取值范围为
;
③当
,m为非负整数时,有
.
其中,正确的结论有______ (填写所有正确的序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2efc4b458ea20c1acca4317505e9fd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/692f19277572dc695f32be2f6b683c06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c0e5caa2e092b270af84632d1d20f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b981f173bbe6277820123ea29fcd13f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5ac76d41805e577ace55d0721b70ff5.png)
给出下列关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2efc4b458ea20c1acca4317505e9fd2.png)
①若x,y为非负实数,则
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30580d5da931d6e3a4762e050c13f0d9.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f206b7a60be2bd87575983a76c13dd6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/404fed5585d3128e0fe18f782c586bf2.png)
③当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0e2b6f7ee0d7d0db08406578a7a883e.png)
其中,正确的结论有
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4 . 某部影片的盈利额(即影片的票房收入与固定成本之差)记为
,观影人数记为
,其函数图象如图(1)所示.由于目前该片盈利未达到预期,相关人员提出了两种调整方案,图(2)、图(3)中的实线分别为调整后
与
的函数图象.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/13/56a6f9c5-d152-4002-814a-44b838970682.png?resizew=303)
给出下列四种说法:
①图(2)对应的方案是:提高票价,并提高成本;
②图(2)对应的方案是:保持票价不变,并降低成本;
③图(3)对应的方案是:提高票价,并保持成本不变;
④图(3)对应的方案是:提高票价,并降低成本.
其中,正确的说法是____________ .(填写所有正确说法的编号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/13/56a6f9c5-d152-4002-814a-44b838970682.png?resizew=303)
给出下列四种说法:
①图(2)对应的方案是:提高票价,并提高成本;
②图(2)对应的方案是:保持票价不变,并降低成本;
③图(3)对应的方案是:提高票价,并保持成本不变;
④图(3)对应的方案是:提高票价,并降低成本.
其中,正确的说法是
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2020-01-28更新
|
712次组卷
|
13卷引用:2020届北京市顺义区高三上学期期末数学试题
2020届北京市顺义区高三上学期期末数学试题2020届北京市顺义区高三第一次模拟考试数学试题2020届北京市东城区高三高考第一次模拟(4月份)数学试题2020届北京市东城区高三第二学期线上检测(一)数学试题衔接点17 函数的表示-2020年【衔接教材·暑假作业】初高中衔接数学(人教版)衔接点22 函数的表示-2020年【衔接教材·暑假作业】初高中衔接数学(新人教版)湖北省黄石市第一中学2019-2020学年高二下学期期末数学试题(已下线)专题2.3一元二次函数方程和不等式(A卷基础篇)-2020-2021学年高一数学必修一同步单元AB卷(人教A版浙江专用)(已下线)考点06 函数模型及其应用-2021年高考数学三年真题与两年模拟考点分类解读(新高考地区专用)山西省榆社中学2021届高三上学期11月阶段性考试数学(理)试题山西省榆社中学2021届高三上学期11月阶段性考试数学(文)试题(已下线)专题03 拿高分题目强化卷(第三篇)-备战2021年新高考数学分层强化训练(北京专版)(已下线)第07讲 二次函数与一元二次方程、不等式(9大考点)-2022-2023学年高一数学考试满分全攻略(人教A版2019必修第一册)
名校
5 . 如图,已知平面直角坐标系
,抛物线
过点
、![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6df46b800478f98f9f7b4f4c51a90a4e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/29/cddea2c6-91fe-4c19-8535-4132aeba7d9d.png?resizew=133)
(1)求该抛物线的表达式;
(2)画出该抛物线的图像;
(3)根据抛物线图像写出
时x的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7795aec93c2c7ac2fd93e6747ca6516c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58d88bbd34102b55fa928e8ff83f0d52.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a0d256036d52b784b8c68bfc8db69d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6df46b800478f98f9f7b4f4c51a90a4e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/29/cddea2c6-91fe-4c19-8535-4132aeba7d9d.png?resizew=133)
(1)求该抛物线的表达式;
(2)画出该抛物线的图像;
(3)根据抛物线图像写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a57458464618fcf619375a93d3c66d69.png)
您最近一年使用:0次
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解题方法
6 . 已知函数
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/6/dbfa2821-50ed-4fbb-b3a9-46ad60ffafde.png?resizew=196)
(1)分别求
,
,
的值;
(2)画出函数
的图象;
(3)求出函数
的定义域及值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f3ee2e8db259bb4a5160033c63cf414.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/6/dbfa2821-50ed-4fbb-b3a9-46ad60ffafde.png?resizew=196)
(1)分别求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a32822a106d217ffdec43557a236f786.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/865a84e106d64bec207e497b6663e53e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf82d73eb2a6fe7b44de2b73bcb41467.png)
(2)画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)求出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
您最近一年使用:0次
2023-11-14更新
|
107次组卷
|
2卷引用:北京市顺义区杨镇第一中学2023-2024学年高一上学期期中考试数学试题
名校
7 . 已知直线
与直线
交于点P.
(1)直线
过点
且平行于直线
,求直线
的方程;(结果写成一般式)
(2)直线
与
轴交于
与
轴交于点
,请在直角坐标系中画出两条直线,求
中
边上的高线所在的直线方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da5604e5d0faed7fdd910bc139bcac31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6398550ac74112a3b6fda9e382063756.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/5/b63a4a76-6aef-40ee-9196-cde8b4bfce91.png?resizew=150)
(1)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff1cf46861c14255a94f8d304cec8e98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(2)直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee7461c060958d5af54adde01e2d07a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a855335176fc36a15017f50a8561348.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
您最近一年使用:0次
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解题方法
8 . 已知函数
定义
上的偶函数,当
时,
,
(1)在图中画出函数
的图像并根据图像写出函数
的单调增区间;
(2)求
的解析式;
(3)求不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29e44284cb19805a584880a686ac3df9.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/7/5dd79d5f-4e2b-41da-9db3-73215ba914db.png?resizew=188)
(1)在图中画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15a33661bff1e5e33951b4783b24a994.png)
您最近一年使用:0次
解题方法
9 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f649dfa9924afa93b01e625b29892af4.png)
(1)求
的值;
(2)画出函数
的图象,根据图象写出函数
的单调区间;
(3)若
,求x的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f649dfa9924afa93b01e625b29892af4.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/5/089089fe-6a85-433e-9be7-901226b7b3ee.png?resizew=208)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afec19e592ef5542a983b82e0da5275d.png)
(2)画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94cc25a7cf28ed096549fbae97fce40a.png)
您最近一年使用:0次
2023-11-13更新
|
533次组卷
|
2卷引用:北京市顺义区第二中学2023-2024学年高一上学期期中考试数学试题
解题方法
10 . 已知函数
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/17/6200d366-be7d-4142-855a-ff1f69aea6dd.png?resizew=246)
(1)求
的值;
(2)画出函数
的图象,根据图象写出函数
的单调区间;
(3)若
,求x的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d18798067b5e138d543eb337a3689dc.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/17/6200d366-be7d-4142-855a-ff1f69aea6dd.png?resizew=246)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c5043165ea23c9eb6539b82fa75a5ed.png)
(2)画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e2405c4822bceae1cf191edb502d3b0.png)
您最近一年使用:0次