优优班--学霸训练营 > 知识点挑题
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            • 1.

              设\(\left\{ {{a}_{n}} \right\}\)是等比数列,则下列结论中正确的是      

              A.若\({a}_{1}=1,{a}_{5}=4 \),则\({a}_{3}=-2 \)
              B.若\({a}_{1}+{a}_{3} > 0 \),则\({a}_{2}+{a}_{4} > 0 \) 

              C.若\({a}_{2} > {a}_{1} \),则\({a}_{3} > {a}_{2} \)
              D.若\({a}_{2} > {a}_{1} > 0 \),则\({a}_{1}+{a}_{3} > 2{a}_{2} \)
            • 2.

              设\(a\),\(b\),\(c\in R\),且\(a > b\),则\((\)   \()\)

              A.\(ac > bc\)
              B.\(\dfrac{1}{a} < \dfrac{1}{b}\)
              C.\({{a}^{2}} > {{b}^{2}}\)
              D.\({{a}^{3}} > {{b}^{3}}\)
            • 3.

              设\(p:\)实数\(x,y\)满足\(x > 1且y > 1 \),\(q:\)实数\(x,y\)满足\(x+y > 2\),则\(p是q \)的(    )

              A.充分不必要条件        
              B.必要不充分条件

              C.充要条件              
              D.既不充分也不必要条件
            • 4.

              下列命题正确的是(    )

              A.若\(a > b\),则\(a{{c}^{2}} > b{{c}^{2}}\)
              B.若\(a > -b\),则\(-a > b\)
              C.若\(ac > bc\),则\(a > b\)
              D.若\(a > b\),则\(a-c > b-c\)
            • 5.

              若\(a\),\(b\),\(c\)为实数,下列结论正确的是

              A.若\(a > b\),\(c > d\),则\(ac > bd\)
              B.若\(a < b < 0\),则\(\dfrac{b}{a} > \dfrac{a}{b}\)
              C.若\(a < b < 0\),则\(\dfrac{{1}}{a} < \dfrac{{1}}{b}\)
              D.若\(a > b > 0\),则\(a^{2} > ab > b^{2}\)
            • 6.

              若\(a < b < 0\),则

              A.\(ab > b^{2}\)
              B.\(\dfrac{1}{a} < \dfrac{1}{b}\)
              C.\(0 < \dfrac{a}{b} < 1\)
              D.\( \dfrac{b}{a} > \dfrac{a}{b} \)
            • 7. 下列不等式正确的是(    )
              A.若 \(a\)\( > \) \(b\),则 \(ac\)\( > \) \(bc\)
              B.若 \(ac\)\({\,\!}^{2} > \) \(bc\)\({\,\!}^{2}\),则 \(a\)\( > \) \(b\)
              C.若 \(a\)\( > \) \(b\),则 \( \dfrac{1}{a} \) \( < \dfrac{1}{b} \)
              D.若 \(a\)\( > \) \(b\),则 \(ac\)\({\,\!}^{2} > \) \(bc\)\({\,\!}^{2}\)
            • 8.

              若\( \dfrac{1}{a} < \dfrac{1}{b} < 0\),则下列结论不正确的是\((\)  \()\)

                

              A.\(a\)\({\,\!}^{2} < \) \(b\)\({\,\!}^{2}\)     
              B.\(ab\)\( < \) \(b\)\({\,\!}^{2\;\;\;\;\;\;\;\;\;\;\;}\)
              C.\( \dfrac{b}{a}+ \dfrac{a}{b} > 2\)       
              D.\(|\) \(a\)\(|-|\) \(b\)\(|=|\) \(a\)\(-\) \(b\)\(|\)
            • 9.
              设\(a\),\(b\)是非零实数,若\(a < b\),则下列不等式成立的是\((\)  \()\)
              A.\(a^{2} < b^{2}\)
              B.\(ab^{2} < a^{2}b\)
              C.\( \dfrac {1}{ab^{2}} < \dfrac {1}{a^{2}b}\)
              D.\( \dfrac {b}{a} < \dfrac {a}{b}\)
            • 10.

              现有甲、乙、丙、丁四人通过“拔河”进行“体力”的较量,当甲、乙两人为一方,丙、丁两人为另一方时,双方势均力敌;当甲与丙对调后,甲、丁一方轻而易举战胜了乙、丙一方;而乙凭其一人之力便能战胜甲、丙二人的组合,那么四人的“体力”由强到弱的顺序是 (    )

              A.乙、丁、甲、丙       
              B.丁、乙、甲、丙 
              C.乙、丁、丙、甲
              D.丁、乙、丙、甲
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