1 . 如图,是一个“因变量随着自变量变化而变化”的示意图,下面表格中,是通过运算得到的几组
与
的对应值.根据图表信息解答下列问题:
(1)直接写出:
,
,
;
(2)当输入
的值为
时,求输出
的值;
(3)当输出
的值为12时,求输入
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
输入 | … | 0 | 2 | … | |
输出 | … | 2 | 18 | … |
(1)直接写出:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd707b69a11f8de5566f23c1a2a9ff5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c57bbef89a37f1a3808c0ceeac0c22.png)
(2)当输入
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
(3)当输出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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2 . 已知在
中,
、
、
为
的三边.
(1)化简代数式
______;(填空)
(2)若
、
、
满足
,且
,求
周长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(1)化简代数式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14b4c811d91f40a521921047cffe49f1.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f16632b7df62147f2d3fc2dfddb59d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15a10601ae3f03ebc671a38b101b64a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
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名校
3 . 在平面直角坐标系
中,已知点
的坐标为
,将点
到
轴的距离记作为
,到
轴的距离记作为
.
(1)若
,则
______;
(2)若
,
,求点
的坐标.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25c17050d63ecbee172ae7ef6db325c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5edf900c810371fb21297c15f86d8743.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b31ac1def558351e2e3ed1235c570530.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f66884efff7400f92b530d69d029778d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d2a11dd1a1729427d612fa78807696a.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5aeae227ddcd963101c96448b12a69d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bc82280a60309e03d58340025a43cff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
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4 . 解方程
(1)
;
(2)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/920a6113925fa0e800d368b3698fcfa6.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22af97e876ec7da23cd4d85e6d071d17.png)
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5 . 解下列方程(组):
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/535c843c2a9130dc3c01776a652d0d53.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/898b7d6662bb25cb88b4afb1fed06ec7.png)
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6 . 若关于
的方程
的解是整数,则满足条件的整数
的值有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27e7dce3c538bbcba519f8d48d177d05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
A.4个 | B.5个 | C.6个 | D.7个 |
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7 . 方程
的解是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1adf9d00051c0b9b46d8010c4ae37de.png)
A.![]() | B.![]() | C.![]() ![]() | D.![]() ![]() |
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名校
8 . 阅读材料:定义:若关于
的一元一次方程的解及解的二倍都在一元一次不等式组的解集范围内,则称这个方程为该不等式组的“完全子方程”.例如:方程
的解为
,则
;不等式组
的解集是
,可以发现方程的解
及
都在不等式组的解集
的范围内,则称方程
是不等式组
的“完全子方程”.
请根据以上材料回答下面问题:
(1)在方程①
;②
中,是不等式组
的“完全子方程”的是______;(填序号)
(2)若方程
是不等式组
的“完全子方程”,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0c8851ec6a8b97591bd0062a136090f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d599059e6b2c918ab15ee22611b6962.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54533da5f7c7ec315f6b6eb26fde90e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f405075181c7d3cdcd0715bcf93fc451.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35655254f5b7b6f3d0ec32b4d8729c0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c1d2e5599453f8d4c04369bc8f79962.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35655254f5b7b6f3d0ec32b4d8729c0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0c8851ec6a8b97591bd0062a136090f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f405075181c7d3cdcd0715bcf93fc451.png)
请根据以上材料回答下面问题:
(1)在方程①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1067d53a8214920e539872ba1306f5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75c45b8b059f632c90ab88dc7259e295.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1b27947153828d0502a04676095a1b0.png)
(2)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9315373d5d819790a9f90112b00d6d14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/602fe010bf4a8fc251b41c3f4928b8cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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9 . 若
是方程
的解,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08b744e6b46da1be1e7c164db1cce891.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
A.1 | B.2 | C.![]() | D.![]() |
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10 . 对于任意有理数
,规定:当
时,
;当
时,
.
(1)填空:
______,
______,
______;
(2)若
,求
的值;
(3)若两个有理数
,
,且
异号,满足
,请直接写出
之间可能存在的数量关系.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f92ca3ac04a2bdc12bceee4dfc986054.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e541ea2f855f981c96207070683d388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c278ec775de4a238353c29359c2c4b54.png)
(1)填空:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0632bc67a48ee16de53fe7e19ec3328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be4e3838d6e4ea8e3defd8401b305774.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c289a19bccd3b1783fe9d6c1b7f1516.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31d5a0d87d64f56ffd93e463b87d6612.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)若两个有理数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b03b011f69dfc5262a3d82f64676739b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6395d94d68cb6c6fdeeb6290334f0f59.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
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