2025年高升專數(shù)學(xué)（文）全真模擬試題（含考點(diǎn)與教材章節(jié)對(duì)應(yīng)表）

2025年高升專數(shù)學(xué)（文）全真模擬試題（含考點(diǎn)與教材章節(jié)對(duì)應(yīng)表）一、選擇題要求：從下列各題的四個(gè)選項(xiàng)中，選出符合題目要求的一個(gè)。1.設(shè)函數(shù)$f(x)=x^2-2x+1$，則函數(shù)的圖像是：A.$y=x^2$的圖像向上平移1個(gè)單位；B.$y=x^2$的圖像向右平移1個(gè)單位；C.$y=x^2$的圖像向左平移1個(gè)單位；D.$y=x^2$的圖像向下平移1個(gè)單位。2.下列各數(shù)中，是正數(shù)的有：A.$-1$；B.$\frac{1}{2}$；C.$-\frac{1}{2}$；D.$0$。3.若$2a^2+5a-3=0$，則$a$的值為：A.$1$；B.$-\frac{1}{2}$；C.$-3$；D.$-2$。4.下列函數(shù)中，是奇函數(shù)的有：A.$f(x)=x^2$；B.$f(x)=2x$；C.$f(x)=-x^2$；D.$f(x)=0$。5.已知數(shù)列$\{a_n\}$的前$n$項(xiàng)和為$S_n=n^2+2n$，則$a_1$的值為：A.$3$；B.$4$；C.$5$；D.$6$。6.設(shè)$\angleA$、$\angleB$、$\angleC$為三角形的三個(gè)內(nèi)角，且$\angleA+\angleB+\angleC=180^\circ$，則下列命題中正確的是：A.若$\angleA=\angleB=\angleC=60^\circ$，則三角形為等邊三角形；B.若$\angleA=\angleB=\angleC=90^\circ$，則三角形為等腰直角三角形；C.若$\angleA=\angleB=\angleC=120^\circ$，則三角形為等邊三角形；D.若$\angleA=\angleB=\angleC=30^\circ$，則三角形為等腰直角三角形。7.設(shè)$a$、$b$為實(shí)數(shù)，且$a^2+b^2=1$，則下列命題中正確的是：A.若$a=\frac{1}{2}$，則$b=\frac{\sqrt{3}}{2}$；B.若$a=-\frac{1}{2}$，則$b=-\frac{\sqrt{3}}{2}$；C.若$a=\frac{1}{2}$，則$b=-\frac{\sqrt{3}}{2}$；D.若$a=-\frac{1}{2}$，則$b=\frac{\sqrt{3}}{2}$。8.設(shè)$a$、$b$為實(shí)數(shù)，且$a^2+b^2=1$，則下列命題中正確的是：A.若$a=\frac{\sqrt{2}}{2}$，則$b=\frac{\sqrt{2}}{2}$；B.若$a=-\frac{\sqrt{2}}{2}$，則$b=-\frac{\sqrt{2}}{2}$；C.若$a=\frac{\sqrt{2}}{2}$，則$b=-\frac{\sqrt{2}}{2}$；D.若$a=-\frac{\sqrt{2}}{2}$，則$b=\frac{\sqrt{2}}{2}$。9.設(shè)$a$、$b$為實(shí)數(shù)，且$a^2+b^2=1$，則下列命題中正確的是：A.若$a=\frac{\sqrt{3}}{2}$，則$b=\frac{1}{2}$；B.若$a=-\frac{\sqrt{3}}{2}$，則$b=-\frac{1}{2}$；C.若$a=\frac{\sqrt{3}}{2}$，則$b=-\frac{1}{2}$；D.若$a=-\frac{\sqrt{3}}{2}$，則$b=\frac{1}{2}$。10.設(shè)$a$、$b$為實(shí)數(shù)，且$a^2+b^2=1$，則下列命題中正確的是：A.若$a=\frac{\sqrt{2}}{2}$，則$b=\frac{\sqrt{2}}{2}$；B.若$a=-\frac{\sqrt{2}}{2}$，則$b=-\frac{\sqrt{2}}{2}$；C.若$a=\frac{\sqrt{2}}{2}$，則$b=-\frac{\sqrt{2}}{2}$；D.若$a=-\frac{\sqrt{2}}{2}$，則$b=\frac{\sqrt{2}}{2}$。二、填空題要求：把正確答案填在題中的橫線上。11.已知數(shù)列$\{a_n\}$的通項(xiàng)公式為$a_n=2^n-1$，則數(shù)列的前5項(xiàng)分別是：12.若函數(shù)$f(x)=x^2-2x+3$，則$f(1)=\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\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