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歡迎您訪問數(shù)學(xué)考題練習(xí):已知兩個(gè)不等式的解集在數(shù)軸上表示如圖所示,那么!

數(shù)學(xué)考題練習(xí):已知兩個(gè)不等式的解集在數(shù)軸上表示如圖所示,那么

更新時(shí)間:2024-01-12 16:45:59作者:貝語網(wǎng)校

已知兩個(gè)不等式的解集在數(shù)軸上表示如圖所示,那么由這兩個(gè)不等式組成的不等式組的解集為

A.x≥-3

B.x≥2

C.x>-3

D.x>2

試題答案

B

試題解析

本題可根據(jù)數(shù)軸的性質(zhì),實(shí)心圓點(diǎn)包括該點(diǎn)用“≥”,“≤”表示,空心圓圈不包括該點(diǎn)用“<”,“>”表示,大于向右,小于向左.觀察相交的部分即為不等式的解集.

解答:數(shù)軸上表示解集的線的條數(shù)與不等式的個(gè)數(shù)一樣的部分是2及其右邊的部分,則不等式解集為:x≥2.

故應(yīng)選B.

點(diǎn)評(píng):本題考查不等式組解集的表示方法.把每個(gè)不等式的解集在數(shù)軸上表示出來(>,≥向右畫;<,≤向左畫),數(shù)軸上的點(diǎn)把數(shù)軸分成若干段,如果數(shù)軸的某一段上面表示解集的線的條數(shù)與不等式的個(gè)數(shù)一樣,那么這段就是不等式組的解集.有幾個(gè)就要幾個(gè).在表示解集時(shí)“≥”,“≤”要用實(shí)心圓點(diǎn)表示;“<”,“>”要用空心圓點(diǎn)表示.

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