填空题在下列表格中,每格填上一个数字后,使每一横行成等差数列,每一纵列成等比数列,则x+y+z的值为________.
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1.9975解析分析:根据题设条件,先把各行各列的数字填满,由此得到x,y,z的值,从而能求出x+y+z.解答:由题设条件,各行的数字依次为:2?????? 3??????? 4????? ?5???????? 61?? ??? 1.5????? 2?????? 2.5???????30.5??? ?0.75??? ?1????? ?1.25????? 1.50.25?? ?0.375??? 0.5?? ?0.625????? 0.750.125 ? 0.1875? 0.25??? 0.3125???? 0.3725∴x=1,y=0.625,z=0.3725,∴x+y+z=1.9975.故