16−口−2=7破十法怎么做连减? 这一题怎么做???

\u8bf7\u95ee\u8fd9\u9053\u9898\u600e\u4e48\u505a\uff1f\u4e3b\u8981\u662f\u7b2c\u4e8c\u4e2a\u95ee\u3002

\u4f5c\u4e1a\u5e2e\u4e86\u89e3\u4e00\u4e0b\uff1f
\u5982\u679c\u7528\u4e0d\u4e86\uff0c\u91c7\u7eb3\u7b54\u6848\uff0c\u6211\u5e2e\u4f60\u67e5\uff0c\u7ed9\u4f60\u622a\u56fe

1.f(x)=ax2+1(a>0),\u5219f\u2032(x)=2ax,k1=2a\uff0c

g(x)=x3+bx,\u5219g\u2032(x)=3x2+b,k2=3+b\uff0c

\u7531(1,c)\u4e3a\u516c\u5171\u5207\u70b9\uff0c\u53ef\u5f97\uff1a2a=3+b \u2460

\u53c8f(1)=a+1,g(1)=1+b\uff0c

\u2234a+1=1+b\uff0c

\u5373a=b\uff0c\u4ee3\u5165\u2460\u5f0f\uff0c\u53ef\u5f97\uff1aa=3\uff0cb=3.


(2)\u5f53a=3,b=−9\u65f6,\u8bbeh(x)=f(x)+g(x)=x3+3x2−9x+1

\u5219h\u2032(x)=3x2+6x−9\uff0c

\u4ee4h\u2032(x)=0\uff0c

\u89e3\u5f97\uff1ax1=−3,x2=1\uff1b

\u2234k⩽−3\u65f6,\u51fd\u6570h(x)\u5728(−\u221e,−3)\u4e0a\u5355\u8c03\u589e,\u5728(−3,1]\u4e0a\u5355\u8c03\u51cf,(1,2)\u4e0a\u5355\u8c03\u589e,\u6240\u4ee5\u5728\u533a\u95f4[k,2]\u4e0a\u7684\u6700\u5927\u503c\u4e3ah(−3)=28

−3<k<2\u65f6,\u51fd\u6570h(x)\u5728\u533a\u95f4[k,2]\u4e0a\u7684\u6700\u5927\u503c\u5c0f\u4e8e28

\u6240\u4ee5k\u7684\u53d6\u503c\u8303\u56f4\u662f(−\u221e,−3]

\u5206\u6790\uff1a

\uff081\uff09\u6839\u636e\u66f2\u7ebfy=f\uff08x\uff09\u4e0e\u66f2\u7ebfy=g\uff08x\uff09\u5728\u5b83\u4eec\u7684\u4ea4\u70b9\uff081\uff0cc\uff09\u5904\u5177\u6709\u516c\u5171\u5207\u7ebf\uff0c\u53ef\u77e5\u5207\u70b9\u5904\u7684\u51fd\u6570\u503c\u76f8\u7b49\uff0c\u5207\u70b9\u5904\u7684\u659c\u7387\u76f8\u7b49\uff0c\u6545\u53ef\u6c42a\u3001b\u7684\u503c\uff1b
\uff082\uff09\u5f53a=3\uff0cb=-9\u65f6\uff0c\u8bbeh\uff08x\uff09=f\uff08x\uff09+g\uff08x\uff09=x3+3x2-9x+1\uff0c\u6c42\u5bfc\u51fd\u6570\uff0c\u786e\u5b9a\u51fd\u6570\u7684\u6781\u503c\u70b9\uff0c\u8fdb\u800c\u53ef\u5f97k\u2264-3\u65f6\uff0c\u51fd\u6570h\uff08x\uff09\u5728\u533a\u95f4[k\uff0c2]\u4e0a\u7684\u6700\u5927\u503c\u4e3ah\uff08-3\uff09=28\uff1b-3<k<2\u65f6\uff0c\u51fd\u6570h\uff08x\uff09\u5728\u533a\u95f4[k\uff0c2]\u4e0a\u7684\u6700\u5927\u503c\u5c0f\u4e8e28\uff0c\u7531\u6b64\u53ef\u5f97\u7ed3\u8bba\uff0e

16-7-2=7,这就是破十法做连减的方法。

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