1 . 在平面直角坐标系
中,函数
的图象经过点
,与函数
的图象交于点
.
(1)求m的值和函数
的解析式;
(2)当
时,对于x的每一个值,函数
的值大于函数
的值,且小于函数
的值,直接写出k的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/595300f17e2fc83c158f7c6d2f8acf79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5548c101f84334ab651fd7139e324f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08b9f0b9e53a83e68f5fec944f343119.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5cb3a30dbf14b01f6f28900cbe5814d6.png)
(1)求m的值和函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/595300f17e2fc83c158f7c6d2f8acf79.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a78dfc9fff306b421d76c791a4eef4a6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e136e7637543c8ae92c8dcd55b31924.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08b9f0b9e53a83e68f5fec944f343119.png)
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2 . 如图,在矩形
中,
,
,点
为边
上的中点.动点
从点
出发,沿折线
以每秒
个单位长度的速度向点
运动,到点
时停止.设运动的时间为
秒,记
为
.
关于
的函数表达式以及对应的
的取值范围;
(2)在给定的平面直角坐标系中画出这个函数的图象,并写出该函数的一条性质:
(3)函数
与
的图象有且仅有
个交点,请直接写出
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efc6e4b936d7a800e839a30c3839574d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65a3e478bb87d094e3a0af30dd10ae8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92f602a637e57761b115810931ae8e89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2aea2e87878e9d6b8ea140edacc986ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(2)在给定的平面直角坐标系中画出这个函数的图象,并写出该函数的一条性质:
(3)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22219f2243d1c00f7ddbd9c212a8410e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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3 . 如图,直线
与
相交于点
,则关于x的不等式
的解集是_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d66cd48e09fa5777aff4615a33a07dc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1aa855d14474ab8fae48e6c9517fc4d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20c69c0a160f03657544686b4f1ce4b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40158049ad206a3a675839c577f669d5.png)
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名校
4 . 如图,在四边形ABCD中,
,过点A作
于点E,
,
.动点F从点D出发,沿
运动,到达点B时停止运动.设点F的运动路程为x,
的面积为
.
与x之间的函数关系式以及对应的x的取值范围;
(2)请在直角坐标系中画出
的图象,并写出函数
的一条性质;
(3)已知函数
的图象如图所示,结合你所画的函数图象,直接写出不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4adf90a8c2b29334cdc5aa5b554991f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e3f5dc11efe60b4fd9a13b1d6b83842.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f08273d339dc5ddbb89aa67bb8205e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffdfaf8ba10c7a0250437f4a317c5f44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9fcd0772b31faf630c9f9e2f5230032.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca2698f08d94afa1cd5b81444791f4c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54015ff5b49e3283901da1291b6b921d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54015ff5b49e3283901da1291b6b921d.png)
(2)请在直角坐标系中画出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54015ff5b49e3283901da1291b6b921d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54015ff5b49e3283901da1291b6b921d.png)
(3)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6708d4087045873d7513642937028798.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df86b0da538701c08fb214608e062372.png)
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5 . 如图,直线
与直线
交于点
,则关于
的不等式
的解集是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07565f10847840e0fb07b05218ad17fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/170785d8eaffa7cb618e52c4580e95fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e8380a23e10d7558e5968c2a449eb9c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d81805124ee8814a04258883ffeced1.png)
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名校
6 . 已知一次函数
的图象经过点
,且与正比例函数
的图象相交于点
.
(1)求m的值;
(2)求一次函数
的解析式;
(3)当x______时,
;当x______时,
;
(4)求这两个函数图象与x轴所围成的三角形面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c15fb18163df0690365a0d2e7ee88f5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2e88ebfb5c0d6cce558b515be06404d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08b9f0b9e53a83e68f5fec944f343119.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ebf9f9e6000eb9d82df1cb0d9da59e1.png)
(1)求m的值;
(2)求一次函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c15fb18163df0690365a0d2e7ee88f5a.png)
(3)当x______时,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/215157819d75bba781d1654d87e80aa9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05ea851396b4aeb04e881f3f33e4eec7.png)
(4)求这两个函数图象与x轴所围成的三角形面积.
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名校
7 . 如图,在直角坐标系中,直线
与x轴交于A,与直线
交于
,直线
分别与x轴、y轴交于C、D,连接
.
的解集;
(2)求出
的值;
(3)求出
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3b1271f6f27647930694fff2788d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/540c73ec2014317b0079dcb42593c7d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df87872ddd48b015282a578cd0a82e28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a0bad56ee5429b36f35e9b423cb5f9a.png)
(2)求出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0877194ab8760f54c35527177b03ff93.png)
(3)求出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab2a2834d80ff574e79eae8ca8d4e94f.png)
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8 . 如图,在平面直角坐标系
中,直线
与
交于点
,则不等式
的解集为____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14ff206d48c26c836ddeecebb83f8b74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d596ea8abbf1a41b55bc8e74c81f4473.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30b73cbe595a76418351f6675a8cb32c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/715d989bb05a794455bd61c446d5cec4.png)
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9 . 当
时,对于x的每一个值,关于x的一次函数
的值都小于一次函数
的值,则k的所有整数值为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3117109c5eccbb9524224685410997b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4e84801c624273c969392f5f45c7646.png)
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10 . 如图,函数函数
与
的图象相交于点
,则关于
的不等式
的解集是______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d14eafc11c3ffd23375df7621029b7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cae97161238b177d49211a31f23b2465.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f99ce0fdd3a34df8d5e913b7b9f6f3fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/741031913c21f46bf84c3296232c0082.png)
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