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17. 解:設(shè)該文具廠原來(lái)每天加工這種文具套.

根據(jù)題意,列方程得,

解得

經(jīng)檢驗(yàn),是原方程的根.

答:該文具廠原來(lái)每天加工這種文具100套.

試題詳情

16. 解:設(shè)y=,則原方程可化為y-=-1, ∴=3,=-4當(dāng)=3時(shí), =3 ∴-3=0∴=-1,=3;當(dāng)=-4時(shí), =-4∴+4=0無(wú)解,經(jīng)檢驗(yàn)使原方程有意義∴原方程的解為=-1,=3

試題詳情

15. 化簡(jiǎn)得原式=,代入得=

試題詳情

14. 解:(1)設(shè)乙隊(duì)單獨(dú)完成這項(xiàng)工程需要x天,則甲隊(duì)單獨(dú)完成這項(xiàng)工程需要天.

    根據(jù)題意,得

      

    解得x=90.

    經(jīng)檢驗(yàn),x=90是原方程的根.                 ……3分

    ∴

    答:甲、乙兩隊(duì)單獨(dú)完成這項(xiàng)工程需要60天和90天.      ……1分

   (2)設(shè)甲、乙兩隊(duì)合作完成這項(xiàng)工程需要y天,則有

     

     解得y=36.                        ……2分

     需要施工費(fèi)用:36×(0.84+0.56)=50.4(萬(wàn)元).       ……1分

     ∵50.4>50,

     ∴工程預(yù)算的施工費(fèi)用不夠用,需追加預(yù)算0.4萬(wàn)元.     ……1分

試題詳情

13. 解:原式=2x-1+            ……4分

       =2x-1+x+2

       =3x+1                       ……2分

試題詳情

12. 解:聰聰說(shuō)的有理.··························· 1分

······················· 3分

································· 4分

···································· 5分

只要使原式有意義,無(wú)論取何值,原式的值都相同,為常數(shù)1.········ 6分

試題詳情

11. 解:··························· 2分

··································· 5分

檢驗(yàn):將代入原方程,左邊右邊·················· 7分

所以是原方程的根··························· 8分

(將代入最簡(jiǎn)公分母檢驗(yàn)同樣給分)

試題詳情

10. 解 (Ⅰ)

 
速度(千米/時(shí))
所用時(shí)間(時(shí))
所走的路程(千米)
騎自行車


10
乘汽車


10

                    ················· 3分

(Ⅱ)根據(jù)題意,列方程得.  ·················· 5分

解這個(gè)方程,得.   ························· 7分

經(jīng)檢驗(yàn),是原方程的根.

所以,.         

答:騎車同學(xué)的速度為每小時(shí)15千米. ···················· 8分

試題詳情

9. 解法一:原式················· 2分

·································· 6分

當(dāng)時(shí),原式························ 8分

解法二:原式············ 2分

·································· 6分

當(dāng)時(shí),原式························ 8分

試題詳情

8. 解法一:設(shè)乙班有人捐款,則甲班有人捐款.············ 1分

根據(jù)題意得:

······························ 5分

解這個(gè)方程得.···························· 8分

經(jīng)檢驗(yàn)是所列方程的根.························ 9分

(人)

答:甲班有48人捐款,乙班有45人捐款.·················· 10分

解法二:設(shè)甲班有人捐款,則乙班有人捐款.·············· 1分

根據(jù)題意得:

······························ 5分

解這個(gè)方程得.···························· 8分

經(jīng)檢驗(yàn)是所列方程的根.························ 9分

(人)

答:甲班有48人捐款,乙班有45人捐款.·················· 10分

試題詳情


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