Bài tập 25 trang 119 SGK Hình học 12 NC

Tính giá trị biểu thức :

        \(P=\dfrac{2.3.4-2.3.4.9+2.3.4.11+2.3.4.13}{5.6.7-5.6.7.9+5.6.7.11-5.6.7.13}\)

Phân số \(\dfrac{a}{b}\) sau khi rút gọn được phân số \(\dfrac{-8}{11}\). Biết \(b-a=190\), tìm phân số \(\dfrac{a}{b}\) ?

Chứng minh rằng :               

               \(S=\dfrac{1}{5}+\dfrac{1}{13}+\dfrac{1}{14}+\dfrac{1}{15}+\dfrac{1}{61}+\dfrac{1}{62}+\dfrac{1}{63}< \dfrac{1}{2}\)

Tìm \(x\), biết :

              \(\left(\dfrac{1}{12}+3\dfrac{1}{6}-30,75\right)x-8=\left(\dfrac{3}{5}+0,415+\dfrac{1}{200}\right):0,01\)

Tính :

                    \(1\dfrac{13}{15}.0,75-\left(\dfrac{104}{195}+25\%\right).\dfrac{24}{47}-3\dfrac{12}{13}:3\)

Tìm số nguyên \(x\), biết rằng :

                \(4\dfrac{1}{3}.\left(\dfrac{1}{6}-\dfrac{1}{2}\right)\le x\le\dfrac{2}{3}.\left(\dfrac{1}{3}-\dfrac{1}{2}-\dfrac{3}{4}\right)\)

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