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1 . 解方程:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f2ae53aa88b0bf4b755a8794d247cd1.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fda7fb8f5ca9a1602954a33c1767909.png)
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2 . 解下列方程:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e2ef9668a021b2dccd6b1bce578afd0.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/614de3f1fb7cfb55ecefe21c7b1a19e4.png)
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3 . 解方程:
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d174c36ef21cb3803516f0c96e5c59e7.png)
(2)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68d6f48741eb80fdfeaeeb14f852197f.png)
(3)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6f6d7dd8f3848b9bce75a33c384388c.png)
(4)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d174c36ef21cb3803516f0c96e5c59e7.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68d6f48741eb80fdfeaeeb14f852197f.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6f6d7dd8f3848b9bce75a33c384388c.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfac0b7bcb1cc96bb64cebb808614a73.png)
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4 . 解方程
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78fb277331b104d7a822471c9e5e1a63.png)
(2)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78fb277331b104d7a822471c9e5e1a63.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcad91c03460997426e9680390152b9e.png)
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5 . 解方程:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4885d9de990a78ff4e176713b27d117e.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4957e4e6b956cb33c63917b5097b0209.png)
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6 . 若方程组,则
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7 . 若一元一次方程的解在一元一次不等式(组)解集范围内,我们则称该一元一次方程为该不等式组的“子方程”,这个解在数轴上对应的点称为该不等式的子点.
(1)方程①
;②
;![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f82e415812cca9545611c0faa0c01b1c.png)
是不等式
的子方程有 (填序号).
(2)如图,
都是关于
的不等式组
的子点,求
的取值范围
的所有子方程的解中有且只有2个正整数,求
的取值范围.
(1)方程①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2996769f7df914b5c100a36e7426fd0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cf0f18c67754af4b6cb1bc8da2bca44.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f82e415812cca9545611c0faa0c01b1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d061402afba8890ac478b1157162958a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f502a69186fd2dcac3ca946bae7e11a1.png)
(2)如图,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6670479a0083dd2dfd5ad55b47b1ab6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d41c6cdc8b25d98ef3a49aca1aee5bc7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6a63ff71f7b3ddfa1edcbd45a22051e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2024-03-28更新
|
89次组卷
|
4卷引用:河南省南阳市桐柏县2022-2023学年七年级下学期期中数学试题
河南省南阳市桐柏县2022-2023学年七年级下学期期中数学试题河南省郑州市第四初级中学南校区2022-2023学年八年级下学期第一次学习比赛数学试题(已下线)专题9.16 一元一次不等式(组)精选100题2(已下线)专题11.16+一元一次不等式(组)精选100题1
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8 . 解方程:
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/100ca6f416834f6d6dbe86f4e48904a0.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d441e302314a6572a4fa0754d6c678a1.png)
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9 . 阅读材料1.
是无理数,而无理数是无限不循环小数,因此
的小数部分不能全部写出来,但由于
,所以
的整数部分为1,将
减去其整数部分1,差就是小数部分,其小数部分为
.
(1)直接写出
的小数部分是______;
的小数部分是______;
(2)已知
,其中x是整数,且
,求
的值;
阅读材料2.
小明在查阅了乘法公式
后,想出了一个估算无理数近似值的方法,例如求
的近似值(结果精确到0.01),设
,其中
,则
,因为
,所以
,所以
,解得
,所以
.
(3)利用小明的方法估算
的近似值(结果精确到0.01)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cec33cfcbb5882ef80756eac8b51dd71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c34e01955f8c8fe2f0041b35d8d602a7.png)
(1)直接写出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35361e76a7c85d1886728c8d0200b234.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9317a6b2be7cdf9b7979f008750678e7.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0894754907503dbae3fe2db5d2e02585.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47b76bcd3900721a34005977674d76c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d8e971324f9f7a69967030799e1cfb9.png)
阅读材料2.
小明在查阅了乘法公式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f88bd30cd20a8b2b2f8d3019674f0af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/180eb4c27fe43f506ae95873ea7447c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4dc273053ad20a5bf17897654f08314.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca542e78b7d77d008c9c4752afa91a55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d53bfe21c524584dca00fdfffdac4d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca542e78b7d77d008c9c4752afa91a55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c02d85c05c8a2c0619235b8a83790b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d4a24ec45368be00aa27ebe8e7da112.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1273aec7bf1274314197af2a1df6f9fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b5b7d8241e8a765cf2b8b642f27c86f.png)
(3)利用小明的方法估算
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c35a97fb91daac3f2059ac2ad7be5d1.png)
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10 . 若
,当
时,
;当
时,
.
(1)求k和b的值;
(2)当
时,求x的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c15fb18163df0690365a0d2e7ee88f5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eefa44964db83759aff6fc8dd7ef8f28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f23d29646155e27b172ecdf263e2d702.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8076b511e27939c629762296b8cfd08.png)
(1)求k和b的值;
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50055934d5ebfddf8af487b00792cfd2.png)
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