题型:解答题-问答题
难度:0.65
引用次数:366
题号:10944865
如图,函数
和
的图像相交于点
.
(1)求
的值;
(2)根据图像,直接写出不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08b9f0b9e53a83e68f5fec944f343119.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8986bfb4209a5d006003f2ef31edd2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97f0385a34634dc389c744bd5dfe2311.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fe9de7f669428e1f45db9d3cfb19802.png)
(2)根据图像,直接写出不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f98a4b0bcbe8186cbbd94776bb633dbc.png)
![](https://img.xkw.com/dksih/QBM/2020/7/30/2517274448265216/2517797082718208/STEM/c7687ecb-0f13-44b2-9c2b-354b0f64c8e4.png)
更新时间:2020-07-31 16:14:11
|
【知识点】 根据两条直线的交点求不等式的解集解读
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解答题-问答题
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适中
(0.65)
名校
【推荐1】如图,一次函数
的图象与
轴交于点
,一次函数
的图象与
轴交于点
,两函数图象交于点
.
![](https://img.xkw.com/dksih/QBM/2021/9/9/2804608421920768/2805853249495040/STEM/691f96bc-fe08-49b6-92a5-35901485fcb4.png?resizew=232)
(1)求一次函数
的解析式;
(2)求
的面积;
(3)根据图象,直接写出当
时
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bf995b3b08182548655464984de3a86e.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/309ce37cb8414a7b6be4e24ad3a317ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10c4f9bdae1190d17d572603937a63aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcddd9b0689eceec5d503240facee044.png)
![](https://img.xkw.com/dksih/QBM/2021/9/9/2804608421920768/2805853249495040/STEM/691f96bc-fe08-49b6-92a5-35901485fcb4.png?resizew=232)
(1)求一次函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0faed94a64b2dcfc6801b4fca0f16675.png)
(3)根据图象,直接写出当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25f99df1a7b58018125b99578b779342.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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解答题-作图题
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适中
(0.65)
【推荐2】探究函数的性质可以扩展我们的数学思维、某班数学兴趣小组同学探究函数
(a,b为常数,且
)的性质,探究过程如下,请解决下列问题:
①列表:
分析数据,完成填空:
________,
________,
_______;
②描点:在平面直角坐标系中,根据表中的数值描点
,现已描出部分点,请补充表中未描出的各点;
③连线:用平滑的曲线顺次连接各点,请画出函数图象.
(2)探索函数性质:
当
时,y随x的增大而减小,当
时,y随x的增大而________;
(3)运用函数性质:
①不等式
的解集是________;
②当
时,对于x的每一个值,函数
的值小于函数
的值且小于7,则t的值为________.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a445a63c743d461b7ba72c5ce94dee1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
①列表:
x | … | ![]() | ![]() | ![]() | 0 | 1 | 2 | 3 | 4 | … |
y | … | 9 | 7 | 5 | 3 | 1 | 3 | 5 | m | … |
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
②描点:在平面直角坐标系中,根据表中的数值描点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3d9aa1d34d66a6876aa0566c8fc8b0a.png)
③连线:用平滑的曲线顺次连接各点,请画出函数图象.
(2)探索函数性质:
当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ccaa6e503b61e9ae78d8439cba2e328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/636289ad84b4a3a51095dd32ca201f94.png)
(3)运用函数性质:
①不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8aa7ffd050ebf631e59b43dc2612522b.png)
②当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c2a0a6e41c1cb5b4224229125def599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71b4f9f1112ad1424026a4d041723466.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a445a63c743d461b7ba72c5ce94dee1.png)
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