解:(1)3-
×1
+
,
=3-
×
+
,
=3-
+
,
=3+(
-
),
=3+
,
=3
;
(2)0.9-(0.15+0.35÷
),
=0.9-(0.15+0.35×
),
=0.9-(0.15+0.49),
=0.9-0.64,
=0.26;
(3)7.25-3
+3.75-6
,
=(7.25+3.75)-(3
+6
),
=11-10,
=1;
(4)(2-
×
)÷(
+
),
=(2-
)÷(
+
),
=
÷
,
=
×
,
=4;
(5)1-
-
-
-
-…-
,
=
-
-
-
-…-
,
=
-
-
-…-
,
=
-
-…-
,
=
-…-
,
=
.
分析:(1)先算乘法,再算減法和加法;
(2)先算括號內(nèi)的除法,再算括號內(nèi)的加法,最后算括號外的減法;
(3)運用加法交換律與結(jié)合律簡算;
(4)兩個括號同時計算,最后算除法;
(5)通過觀察,先把1-
寫成
,原式變?yōu)?img class='latex' src='http://thumb.zyjl.cn/pic5/latex/8.png' />-
-
-
-…-
,前面的數(shù)是后面數(shù)的2倍,即用前一個數(shù)減去后一個數(shù)正好等于后一個數(shù),據(jù)此解答.
點評:考查了四則混合運算,注意運算順序和運算法則,靈活運用所學(xué)的知識簡便計算.