1 . 已知
与
互为相反数,那么![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f2e84f6b7ca23441cd01a1a9d4300f4.png)
_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a43f8772f3e598cd7ce2f41dbd638e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccdb09750317458d4569071da153c53f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f2e84f6b7ca23441cd01a1a9d4300f4.png)
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2 . 已知
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b544b058ec3c9895b5bbe82af5f70e82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51367608f8805985fa3a9bc9e6222230.png)
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3 . 若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
___________ ,
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bfb61eb43e36d142e7f8df7b51be6dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
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4 . 如图,在数轴上,点
为原点,点
在数轴上表示的数为
,点
表示的数为
,有理数
、
满足
.点
从
点出发,以每秒2个单位长的速度向终点
运动,设点
运动的时间为
.
,
;
(2)若点
在线段
上运动时,点
为线段
中点,
为何值时,
;
(3)若在点
从点
出发的同时,点
以每秒4个单位长的速度从原点出发,在原点与点
之间作往返运动,当点
到达点
时,点
与点
同时停止运动.求
为何值时,
与
相遇.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.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/889d5ee1df46d8f2298238cbdfdf26b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2c3d2cba96f6f03520c0b3f6e4da03e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cdba1337ec85fa9722cb4b320a82ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/709897cf7c6b819aa062adfdf1379af3.png)
(3)若在点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
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5 . 已知
为有理数,则
的最小值为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a0a0200f42d030ba2b5eda664324d31.png)
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6 . 若
与
互为相反数,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfd989ddfbed4a6aa18ea57734522153.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ae527be300dcda5ecf14a68117c0ab8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b95aa5488658754da52c9d1064aef238.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bfd989ddfbed4a6aa18ea57734522153.png)
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7 . 若
则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fb2f87452a6a5fe9dd73766b16d66bf.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed492303182a7829f32d1503f148a7fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fb2f87452a6a5fe9dd73766b16d66bf.png)
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8 . 先化简,再求值:
,其中
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7844f281e4cc64e0462505d9eb3c827.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7abff9f5a1819d001d712e3eb6b76597.png)
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9 . 如图,数轴上
三点对应的数分别是
,满足
且
.
,
.
(2)动点P从A点出发沿数轴正方向向终点C运动,同时动点Q从点C出发沿数轴负方向运动,点
的速度比为
,运动时间为7秒时,点
相遇后相距8个单位长度.求
的速度分别是多少?
(3)在(2)的条件下,点Q运动到A点后停留
秒,然后立即调头(调头时间忽略不计),以每秒5个单位长度的速度向数轴正方向运动,动点P仍按原方向原速度运动.在整个运动过程中,运动多少秒时,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38335830b93ac4d99c28a8e209eecb3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7f5573b30734d65648f61c0a94c98de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96ee65e38bb1b697df11d3b470f13b28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07140f277a35733d8c97577ccdd4e3ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
(2)动点P从A点出发沿数轴正方向向终点C运动,同时动点Q从点C出发沿数轴负方向运动,点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5b1b15a4605fce993cb13aefbf40360.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37d65e051e943ab28fa57aee2fb57994.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5b1b15a4605fce993cb13aefbf40360.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5b1b15a4605fce993cb13aefbf40360.png)
(3)在(2)的条件下,点Q运动到A点后停留
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ec818fc0754296163206e1e8870f9e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d35f572bbde6001da300968f63bb87c.png)
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10 . 若
,那么![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fb2f87452a6a5fe9dd73766b16d66bf.png)
______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb7c0593f2791a6127bfb2d0d79777b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fb2f87452a6a5fe9dd73766b16d66bf.png)
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