摘要:解:(1)a=8.b=12.c=0.3.----------------3分 (2)略 -------------------5分 (3)算出样本中噪声声级小于75dB的测量点的频率是0.3----------7分
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解答下列各题:
(1)计算:2tan60°-(
)-1+(-2)2×(-1)0-|-
|;
(2)先化简,再求值:(3x+2)(3x-2)-5x(x-1)-(2x-1)2,其中x=-
;
(3)解方程:
=
-
.
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(1)计算:2tan60°-(
| 1 |
| 3 |
| 12 |
(2)先化简,再求值:(3x+2)(3x-2)-5x(x-1)-(2x-1)2,其中x=-
| 1 |
| 3 |
(3)解方程:
| 1 |
| 6x-2 |
| 1 |
| 2 |
| 2 |
| 1-3x |
阅读下面计算
+
+
+…+
的过程,然后填空.
解:因为
=
(
-
),
=
(
-
)…
=
(
-
)
所以
+
+
+…+
=
(
-
)+
(
-
)+
(
-
)…+
(
-
)
=
(
-
+
-
+
-
…+
-
)=
(
-
)=
以上方法为裂项求和法,请类比完成:
(1)
+
+
+…+
= .
(2)在和式
+
+
+…+( )=
中最未一项为 .
(3)已知-3x2ya+1+x3y-3x4-2是五次四项式,单项式-3x3by3-a与多项式的次数相同,求
+
+
+
+
+
+
+
-
的值.
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| 1 |
| 1×3 |
| 1 |
| 3×5 |
| 1 |
| 5×7 |
| 1 |
| 9×11 |
解:因为
| 1 |
| 1×3 |
| 1 |
| 2 |
| 1 |
| 1 |
| 1 |
| 3 |
| 1 |
| 3×5 |
| 1 |
| 2 |
| 1 |
| 3 |
| 1 |
| 5 |
| 1 |
| 9×11 |
| 1 |
| 2 |
| 1 |
| 9 |
| 1 |
| 11 |
所以
| 1 |
| 1×3 |
| 1 |
| 3×5 |
| 1 |
| 5×7 |
| 1 |
| 9×11 |
=
| 1 |
| 2 |
| 1 |
| 1 |
| 1 |
| 3 |
| 1 |
| 2 |
| 1 |
| 3 |
| 1 |
| 5 |
| 1 |
| 2 |
| 1 |
| 5 |
| 1 |
| 7 |
| 1 |
| 2 |
| 1 |
| 9 |
| 1 |
| 11 |
=
| 1 |
| 2 |
| 1 |
| 1 |
| 1 |
| 3 |
| 1 |
| 3 |
| 1 |
| 5 |
| 1 |
| 5 |
| 1 |
| 7 |
| 1 |
| 9 |
| 1 |
| 11 |
| 1 |
| 2 |
| 1 |
| 1 |
| 1 |
| 11 |
| 5 |
| 11 |
以上方法为裂项求和法,请类比完成:
(1)
| 1 |
| 2×4 |
| 1 |
| 4×6 |
| 1 |
| 6×8 |
| 1 |
| 18×20 |
(2)在和式
| 1 |
| 1×3 |
| 1 |
| 3×5 |
| 1 |
| 5×7 |
| 6 |
| 13 |
(3)已知-3x2ya+1+x3y-3x4-2是五次四项式,单项式-3x3by3-a与多项式的次数相同,求
| 1 |
| 1×2 |
| 1 |
| 2×3 |
| 1 |
| 3×4 |
| 1 |
| 4×5 |
| 1 |
| 5×6 |
| 1 |
| 6×7 |
| 1 |
| 7×8 |
| 1 |
| 8×9 |
| 2 |
| b |